Analyzing the Influence of Graphene and Print Parameters on Pla-graphene Composites Using the Taguchi Method

Analyzing the Influence of Graphene and Print Parameters on Pla-graphene Composites Using the Taguchi Method | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Analyzing the Influence of Graphene and Print Parameters on Pla-graphene Composites Using the Taguchi Method Émerson Passari, Carlos H. Lauermann, Tiago J. Bortoli, Bruno Nonemacher, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5742211/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This study explores the influence of graphene addition on the mechanical behavior of polylactic acid (PLA) filaments fabricated using Fused Filament Fabrication (FFF), emphasizing the effects of graphene reinforcement and key printing parameters. A Taguchi L32 experimental design was utilized to systematically evaluate the impacts of infill density, layer height, print speed, and print angle on mechanical properties, including yield strength, fracture strength, Young’s modulus, and deformation at yield and break. Analysis of variance (ANOVA) identified graphene, infill density, and print angle as the most significant factors. Results revealed that the addition of graphene notably enhanced mechanical properties, with yield strength increasing by up to 9.88% (29.7 MPa) and Young’s modulus improving by 10.31% (0.88 GPa). However, graphene addition reduced ductility, as evidenced by lower deformation at break compared to pure PLA. Optimal parameter combinations, such as 30% infill density, 0.2 mm layer height, and 0° print angle, yielded the best mechanical performance. This study uniquely demonstrates the potential of combining graphene reinforcement with optimized print parameters to enhance the strength and stiffness of PLA composites. These findings underscore the viability of graphene-reinforced PLA for industrial applications demanding materials with superior mechanical properties while addressing the trade-off between stiffness and ductility in advanced manufacturing. PLA Graphene Composites Taguchi Methods Structural Rigidity Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Figure 12 Figure 13 1. Introduction In recent years, rapid prototyping has played a significant role in the innovation of manufacturing processes, offering flexibility, precision, and a wide range of materials for the production of prototypes and final products [ 1 ]. With its ability to transform digital files into physical objects, 3D printing through Fused Filament Fabrication (FFF) provides a high level of flexibility and accuracy, enabling the creation of complex geometries that would be impractical or impossible with conventional methods [ 2 – 4 ]. The technology also enables mass customization and on-demand production, reducing costs and the development time for new products, while minimizing material waste by manufacturing only what is necessary [ 5 ]. Additionally, the continuous advancement in the materials available for printing – including polymers, metals, ceramics, and composites – has significantly expanded the application areas, from functional prototypes in the automotive and aerospace industries to finished products in sectors such as healthcare, construction, and consumer electronics. These advancements solidify FFF as an essential technology for Industry 4.0, enhancing innovation and efficiency across various production chains [ 6 – 8 ]. Polylactic acid (PLA) is one of the most widely used polymers in rapid prototyping, especially in fusion deposition modeling technologies, due to its biodegradability, ease of processing, and affordable cost, making it a popular choice for both domestic and industrial applications. PLA is a material that exhibits low susceptibility to deformation (a defect known as warping), good surface quality, and a wide range of colors and styles. Derived from renewable sources such as corn starch and sugarcane, PLA also attracts attention for its ecological profile, contributing to the reduction of reliance on petroleum-based plastics and aligning with sustainable practices. However, its limited mechanical and thermal properties, such as low impact resistance and reduced durability under extreme conditions, restrict its use in applications that require high-performance materials [ 7 , 9 ]. Based on this, studies have directly investigated the effects of 3D printing parameters aimed at enhancing mechanical strength [ 10 – 12 ]. To overcome these limitations and expand the potential uses of PLA, several studies have explored the addition of reinforcing materials to enhance its strength, stiffness, and even electrical conductivity [ 13 – 15 ]. The use of nanoparticles, natural fibers, and more recently, nanomaterials such as graphene, has been widely investigated to improve the mechanical, thermal, and electrical properties of PLA. These reinforcing materials aim not only to optimize PLA’s performance in functional parts and advanced prototypes but also to expand its application potential in sectors that demand materials with higher strength and additional functionalities [ 16 , 17 ]. This approach has enabled PLA to transcend the limitations of a basic polymer and become a promising foundation for high-performance composites, enhancing its use in innovative projects and advanced industrial applications [ 16 ]. Graphene, an allotrope of carbon, emerges as a promising reinforcement due to its exceptional mechanical, thermal, and electrical properties, which include high strength, lightness, and excellent conductivity [ 15 ]. The incorporation of graphene into PLA presents an innovative strategy for creating composites with enhanced properties, allowing FFF-produced parts to be applied in more demanding and technical contexts [ 18 ]. Camargo et al. [ 18 ] studied the mechanical properties of tensile strength, flexural strength, and impact energy of 3D printed parts made using FFF technology with a PLA-graphene composite, varying the infill parameters and layer thickness, using a statistical technique known as CCD – Central Composite Design. Due to the layer-by-layer production process, 3D printed parts exhibit anisotropic behavior. In the tests, the planar orientation and the honeycomb infill pattern were kept constant. Among the results obtained, it was observed that the mechanical properties improve as the layer thickness parameter increases. Tensile strength (σt) was significantly influenced by both infill and layer thickness (both linear), with the highest tensile strength (33.7 MPa) obtained with layer thickness = 0.27 mm and infill = 78%. The results also revealed that tensile strength increases with an increase in both layer thickness and infill. The σt/printing time and σt/weight ratios were higher when both infill and layer thickness were at their maximum values. Flexural strength (σf) was strongly influenced by infill and layer thickness (both linear), according to the model adopted for the analysis. The highest flexural strength (60.9 MPa) was obtained with the parameters of layer thickness = 0.27 mm and infill = 78%. The study also revealed that flexural strength increases with an increase in both layer thickness and infill. The σf/printing time and σf/weight ratios were higher for infill = 22% and layer thickness = 0.27 mm. Finally, impact energy (Ei) was influenced by infill and layer thickness (both linear), according to the model adopted for the maximum limits of each parameter. The Ei/printing time and Ei/weight ratios were higher for infill = 85% and layer thickness = 0.30 mm. However, one limitation of the study is the use of a commercial filament, with the percentage of graphene used being minimally explored, as well as the analysis of graphene's influence on the properties of natural PLA. Liesenfeld et al. [ 19 ] explored the effects of graphene incorporation on the chemical, thermal, electrical, and mechanical properties of PLA (polylactic acid) used in 3D printing. Detailed tests were conducted using techniques such as Raman spectroscopy, FTIR, DSC, and thermogravimetric analysis (TGA), in addition to mechanical tests for tensile strength, flexural strength, and impact resistance. The results show that the addition of graphene significantly improves the elastic modulus (+ 71.8%) and tensile strength (+ 33.2%) of PLA, as well as increases hardness (34%) and imparts electrical conductivity to the material. However, a reduction in ductility and impact resistance was observed due to graphene acting as a stress concentrator. The authors highlight that the addition of graphene promotes greater thermal stability and crystallization in PLA during printing, enhancing its potential for industrial applications requiring materials with improved mechanical and electrical properties. This work broadens the understanding of PLA-graphene nanocomposites and suggests new opportunities for additive manufacturing. As presented in the literature, the use of experimental design in rapid prototyping is essential for optimizing process parameters and, consequently, improving the quality and performance of the manufactured parts. Among the applicable methodologies, the Taguchi method stands out for its effectiveness in reducing variability and enhancing the robustness of manufacturing processes [ 20 ]. In the context of FFF, the Taguchi method enables a systematic analysis of the effects of multiple factors, such as extrusion temperature, printing speed, layer thickness, and infill pattern, with a reduced number of experiments. This is made possible through the use of orthogonal array systems, which efficiently organize experiments, maximizing the value of the information obtained. As a result, the Taguchi method allows for the identification of parameter combinations that minimize defects, maximize mechanical properties, and reduce costs, directly contributing to the development of more reliable parts with high performance in specific applications [ 21 ]. An example of the application of statistical techniques in rapid prototyping was presented by Hikmat et al. [ 22 ], who used the fractional mixed factorial design model of Taguchi, consisting of eighteen experiments. PLA samples were printed using an FFF 3D printer and tested for tensile strength on a universal testing machine. The authors aimed to obtain the optimal combination of parameters, selected using the signal-to-noise (S/N) ratio and Analysis of Variance (ANOVA) to identify significant parameters and their effect on tensile strength. Additionally, a linear regression model was developed in the study to predict the tensile strength of the printed part. The results showed that the part's strength was influenced by the selected process parameters, where only three of them — build orientation, nozzle diameter, and infill density — were statistically significant and strongly impacted the result. The build orientation had the most significant effect on tensile strength (44.68%). The results indicated that the ideal parameters were build orientation (at the edge), raster orientation (30/-60º), nozzle diameter (0.5 mm), extruder temperature (220 ºC), infill density (100%), number of layers (3), and extrusion speed (20 mm/s). Finally, the validation test showed a good agreement between experimental and statistical data, with the ideal process parameter combination resulting in a tensile strength of 58.05 MPa. Considering the constant pursuit of improvements in the mechanical properties of components produced by the FFF process, this study proposes, for the first time, to explore the effects of the composite resulting from the addition of graphene to PLA filament on the mechanical behavior of these materials. The research uses the Taguchi experimental methodology to perform a robust statistical analysis, investigating not only the influence of graphene but also how critical printing parameters — such as infill percentage, layer height, printing speed, and printing angle — affect the mechanical properties of graphene-reinforced PLA. Through this approach, the study seeks to understand the interaction between graphene and printing variables, quantifying their impact on critical aspects such as tensile strength, elastic modulus, ductility, and impact resistance. 2. Materials and Methods Polylactic acid, manufactured by the F3D brand, is a bioplastic produced from renewable sources, such as corn starch or sugarcane. This material is widely used in 3D printing due to its ease of handling, low toxicity, and compostability. Table 1 presents the technical information and properties of the natural material, as provided by the manufacturer. For the tests conducted with graphene, a mass concentration of 0.1% of the dispersion was added during filament manufacturing. Table 1 – Material Information, as provided by the manufacturer. Technical Specifications Material Properties Filament Diameter 1.75 mm Filament Diameter 1.75 mm Diameter Tolerance ± 0.05 mm Diameter Tolerance ± 0.05 mm Recommended Extrusion Temperature 205-230 ºC Recommended Extrusion Temperature 205-230 ºC Print Bed Temperature 25-60 ºC Print Bed Temperature 25-60 ºC The test specimens were prepared in the Innovation and Digital Fabrication Laboratory of the School of Engineering at the Federal University of Rio Grande do Sul (LIFFELAB) in accordance with ASTM D638 type-I standards, using the Bambu Lab X1-Carbon 3D printer. The nozzle and printing diameter used were 0.4 mm (Figure 1). The print bed utilized is made of textured PEI material, recommended for printing materials such as PLA, ABS, TPU, and PVA without the need for adhesion materials. The slicing software used was BambuStudio version 1.10.1.50. The constant parameters used for the printing of the test specimens were configured according to the printer model and filament brand, being experimentally adjusted to achieve better print quality, as presented in Table 2. Table 2 - Constant Printing Parameters Parameters Value Top Layers 3 Bottom Layers 3 Horizontal Expansion 0 mm Infill Pattern Cubic Printing Temperature 220 ºC Bed Temperature 60 ºC Support No Adhesion No Source: Table by Authors In order to statistically assess the influence of graphene addition, the Minitab ® 18 software was used to design the experimental plan using the Taguchi L32 methodology, consisting of two levels (minimum and maximum) and five factors (Graphene, Infill Density, Layer Height, Speed, and Printing Angle) (Table 3). In addition to graphene, the other factors are highlighted in the literature as significant parameters influencing the mechanical behavior of PLA printing [19, 22, 23]. Table 3 - Printing Parameters Used in the Taguchi Method Controllable Factors Unit Levels Minimum (-1) Maximum (+1) Graphene (%) 0 0.1 Infill Density (%) 15% 30% Layer Height (mm) 0.15 0.2 Speed (mm/s) 150 250 Printing Angle (º) 0 45 Source: Table by Authors The mechanical properties of the materials were evaluated through tensile tests. The uniaxial tensile test was conducted using an EMIC DL-1000 machine, a microprocessed electromechanical type with dual spindles and two parallel cylindrical guide columns, with a maximum capacity of 5,000 kgf (50 kN) and a speed of 5 mm/min, until fracture of the test specimens. During the test, yield stress, tensile strength, elastic modulus, and elongation at deformation and fracture were assessed. For each material, three samples were tested, and the results were averaged. Figure 2 illustrates the tensile testing apparatus. During the test, forces and displacements were recorded by the TEAK 400 software. 3. Results and Discussion Table 4 presents the overall results obtained from the tensile tests, also highlighting the variations based on the average of three tests (not represented in the Young's modulus due to non-representative variations). In an initial analysis, it is observed that the highest values of Yield Strength and Ultimate Strength are concentrated in the samples with higher infill density and the presence of graphene, with sample 31 standing out (Yield Strength = 29.7 MPa; Ultimate Strength = 28.3 MPa). On the other hand, the lowest results are obtained for natural PLA samples with 15% infill, such as sample 2 (Yield Strength = 20.3 MPa; Ultimate Strength = 19.3 MPa). The same analysis applies to the Young's Modulus, with the highest value in sample 29 (0.88 GPa) and the lowest in sample 8 (0.62 GPa). The comparison between the curves is shown in Figure 3. Table 4 - Parameters and Test Results. Sample Graphene (%) Infill Density (%) Layer Height (mm) Speed (mm/s) Printing Angle (º) Yield Strength (MPa) Yield Strain (%) Young’s Modulus (GPa) Fracture Strength (MPa) Fracture Strain (%) 1 0 15 0.15 150 0 25.1±0.3 4.7±0.4 0.77 25.1±0.3 4.7±0.4 2 0 15 0.15 150 45 20.3±1.0 4.4±0.2 0.67 19.3±1.0 4.4±0.2 3 0 15 0.15 250 0 24.8±0.1 4.7±0.3 0.73 24.7±0.1 4.7±0.3 4 0 15 0.15 250 45 20.5±0.4 4.4±0.1 0.64 19.9±0.3 4.7±0.1 5 0 15 0.2 150 0 26.5±0.2 5.1±0.2 0.74 25.8±0.3 5.6±0.2 6 0 15 0.2 150 45 23.9±0.1 5.1±0.1 0.67 21.0±0.2 9.5±0.9 7 0 15 0.2 250 0 26.8±0.9 5.1±0.1 0.73 26.1±0.9 5.6±0.0 8 0 15 0.2 250 45 22.5±0.1 5.1±0.1 0.62 20.0±0.3 8.6±0.1 9 0 30 0.15 150 0 26.8±0.1 4.6±0.0 0.81 26.7±0.1 4.6±0.0 10 0 30 0.15 150 45 26.3±0.1 5.3±0.1 0.71 23.9±0.4 7.9±0.8 11 0 30 0.15 250 0 25.6±0.2 4.6±0.3 0.79 25.6±0.2 4.6±0.2 12 0 30 0.15 250 45 26.2±0.2 5.3±0.1 0.71 24.4±0.2 6.0±0.2 13 0 30 0.2 150 0 27.5±0.3 5.1±0.1 0.79 26.9±0.3 5.4±0.1 14 0 30 0.2 150 45 24.2±1.1 4.9±0.1 0.69 21.3±1.4 8.2±0.1 15 0 30 0.2 250 0 27.0±0.2 4.9±0.2 0.79 26.1±0.3 5.4±0.1 16 0 30 0.2 250 45 25.2±0.4 4.7±0.1 0.74 21.7±0.3 7.9±0.5 17 0.1 15 0.15 150 0 26.0±0.2 4.2±0.1 0.81 25.7±0.5 4.2±0.1 18 0.1 15 0.15 150 45 26.1±0.1 4.7±0.2 0.75 23.5±1.0 5.3±0.2 19 0.1 15 0.15 250 0 25.9±0.3 4.2±0.2 0.80 25.8±0.2 4.4±0.2 20 0.1 15 0.15 250 45 25.5±0.3 4.6±0.1 0.75 23.9±0.9 5.1±0.3 21 0.1 15 0.2 150 0 27.5±0.1 4.4±0.1 0.82 27.4±0.1 4.4±0.2 22 0.1 15 0.2 150 45 25.8±0.7 4.6±0.2 0.75 22.1±0.9 6.1±0.2 23 0.1 15 0.2 250 0 27.3±0.2 4.2±0.0 0.84 27.2±0.3 4.4±0.0 24 0.1 15 0.2 250 45 26.0±0.3 4.7±0.2 0.72 22.0±1.0 6.3±0.2 25 0.1 30 0.15 150 0 28.0±0.4 4.2±0.0 0.87 27.8±0.3 4.4±0.2 26 0.1 30 0.15 150 45 28.0±0.2 4.4±0.0 0.84 27.5±0.3 4.6±0.0 27 0.1 30 0.15 250 0 28.3±0.4 4.9±0.0 0.75 25.0±0.5 6.3±0.5 28 0.1 30 0.15 250 45 28.3±0.1 4.7±0.2 0.79 24.7±0.8 6.1±0.9 29 0.1 30 0.2 150 0 29.5±0.0 4.6±0.2 0.88 28.2±0.7 4.9±0.2 30 0.1 30 0.2 150 45 28.0±0.6 4.6±0.2 0.80 24.6±0.7 6.1±0.0 31 0.1 30 0.2 250 0 29.7±0.6 4.9±0.4 0.84 28.3±0.8 5.6±0.4 32 0.1 30 0.2 250 45 27.6±0.2 4.6±0.2 0.81 24.2±0.2 6.1±0.9 Source: Table by Authors Evaluating the deformations, it is observed that despite the characteristic brittle behavior of PLA, where in most samples the Yield Strain ≈ Fracture Strain, some samples exhibit ductile behavior, with Fracture Strain ≥ Yield Strain. This behavior is observed in the samples with a printing angle of 45º with natural PLA, being higher in sample 6 (Fracture Strain = 9.5±0.9%). According to Liesenfeld et al., 2024, the addition of graphene contributes to a reduction in the ductility of PLA, as the graphene nanoparticles act as stress concentrators, facilitating crack initiation and propagation. Additionally, graphene restricts the movement of polymer chains and promotes increased local crystallinity, which reduces the material's ability to deform plastically. Regarding the influence of the printing angle, Mitrović et al. [24] point out that at 0º, the polymer fibers are aligned with the force axis, directly supporting the load, so the rupture occurs quickly when the stress reaches the material's strength limit, with little plastic deformation, whereas at 90º, the layers are subjected to shear forces, allowing more deformation before rupture, but with lower tensile strength. Finally, at 45º, there is a combination of these effects, justifying a mixed behavior and greater ductility compared to printing at 0º. It is also possible to highlight a relationship between the deviations in maximum and rupture stresses with the input parameters, being higher in samples 14 and 2, where there is an absence of graphene and a 45º angle. Once again, the influences of shear forces and movement of the natural polymer chains affect the process, impacting the repeatability of the results. Finally, evaluating the values obtained from the parameters with and without graphene addition (samples 1 to 16 compared to 17 to 32), the results show that the addition of graphene to PLA significantly improves its mechanical properties. The 10.31% increase in Young's modulus reflects a greater material stiffness, essential for applications requiring resistance to elastic deformations. Meanwhile, the 9.88% increase in maximum stress and 8.34% in rupture stress indicate greater resistance and durability of the material before failure, expanding its potential for components that face higher loads. These improvements are particularly relevant in the context of FFF with PLA, given its limitations due to low mechanical strength compared to other thermoplastics [17, 25, 26]. 3.1 Analysis of Variance To assess the statistical significance of the results and the influence of controllable input factors on the analyzed parameters, an analysis of variance was conducted. The results obtained by the Taguchi method are presented through two main graphs: one representing the arithmetic mean of the responses (mean of the means) for each level of the analyzed parameters and another illustrating the signal-to-noise ratio (S/N). The signal-to-noise ratio plays a crucial role in the Taguchi analysis, as it allows for evaluating the robustness of a process in relation to experimental conditions and data variability. This metric measures the relationship between performance (signal) and sources of variation (noise), facilitating the identification of configurations that maximize the desired response while minimizing undesirable effects [22, 27]. Moreover, residual analysis is essential for validating statistical models, evaluating assumptions such as normality, randomness, homoscedasticity, and independence. Residuals are the differences between the observed and predicted values of the model, and their analysis helps identify patterns that may indicate issues such as lack of fit, omitted variables, or heteroscedasticity. Outliers can also be detected, as extreme values may distort the results. By ensuring that the residuals are random and follow a normal distribution, residual analysis guarantees the reliability of inferences, making it crucial for assessing and improving the robustness of the model and the quality of conclusions [23, 24, 27]. 3.1.1 Yield Strength Table 5 presents the values obtained from the statistical analysis of the means and the signal-to-noise ratio for Yield Strength, considering the "larger is better" model. The determination coefficients (R²) were 89.99% and 91.13%, respectively, indicating a good fit of the model to the data. Figure 4 presents the main effects plots for the means (a) and for the S/N ratios (b). To further support the analyses, the ANOVA is summarized in Table 6. Table 5. Order of influence of yield strength. Level Graphene Infill Density Layer Height Speed Printing Angle Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio 1 24.95 27.91 25.03 27.94 25.73 28.17 26.22 28.34 27.02 28.62 2 27.34 28.73 27.26 28.70 26.56 28.46 26.07 28.29 25.27 28.01 Delta 2.39 0.82 2.23 0.76 0.83 0.29 0.14 0.05 1.74 0.61 Rank 1 2 4 5 3 Source: Table by Authors Table 6. ANOVA for yield strength. Source DF Analysis of Variance for Means Analysis of Variance for S/N ratios Seq SS Contribution (%) P-Value Seq SS Contribution (%) P-Value Graphene 1 45.84 31.56% 0 5.3824 30.17% 0 Infill Density 1 39.828 27.42% 0 4.6543 26.09% 0 Layer Height 1 5.528 3.81% 0.019 0.6801 3.81% 0.025 Speed 1 0.165 0.11% 0.657 0.0199 0.11% 0.679 Printing Angle 1 24.325 16.75% 0 2.9741 16.67% 0 Graphene*Infill Density 1 0.038 0.03% 0.831 0.0453 0.25% 0.533 Graphene*Layer Height 1 0.228 0.16% 0.602 0.0552 0.31% 0.492 Graphene*Speed 1 0.09 0.06% 0.742 0.0102 0.06% 0.766 Graphene*Printing Angle 1 6.213 4.28% 0.013 0.9164 5.14% 0.011 Infill Density*Layer Height 1 3.713 2.56% 0.047 0.5263 2.95% 0.045 Infill Density*Speed 1 0.07 0.05% 0.771 0.0097 0.05% 0.772 Infill Density*Printing Angle 1 3.578 2.46% 0.051 0.5595 3.14% 0.04 Layer Height*Speed 1 0.015 0.01% 0.892 0.0013 0.01% 0.915 Layer Height*Printing Angle 1 2.703 1.86% 0.086 0.2165 1.21% 0.183 Speed*Printing Angle 1 0.015 0.01% 0.892 0.0015 0.01% 0.908 Residual Error 16 12.89 8.87% 1.7859 10.01% Total 31 145.24 100.00% 17.8387 100.00% Source: Table by Authors The results show that the presence of graphene and the increase in the fill percentage significantly contribute to the increase in Yield Strength. On the other hand, the variation in the printing angle, as observed in the literature, considerably reduces this resistance. Several parameters were found to be significant, with p-values < 0.05, with the greatest contribution from the effects of graphene and infill density, respectively. Finally, Figure 5 presents the residual plots in terms of means and S/N ratio, assessing the adequacy of the model fit to the data. In both cases, the Normal Probability Plot shows that the residuals approximately follow a normal distribution, with most of the points aligned along a straight line, indicating the absence of significant deviations or outliers. The Versus Fits plot reveals a random distribution of residuals around the central line, without visible patterns, suggesting no heteroscedasticity or systematic error in the model. The residual histogram presents an approximately symmetric distribution centered around zero, reinforcing the hypothesis of normality. The Versus Order plot indicates that the residuals are independent, with no trends or sequential patterns, supporting the absence of temporal correlation. These results indicate the model's adequacy, allowing its use to interpret the data and optimize the analyzed parameters, based on valid assumptions of normality, independence, and absence of patterns in the residuals. 3.1.2 Fracture Strength Table 6 presents the values obtained from the statistical analysis of the means and the S/N ratio for Fracture Strength, considering the "bigger is better" model. The R² coefficients were 93.78% and 93.93%, respectively, indicating a high fit of the model to the data. Figure 6 shows the main effect plots for the means (a) and the S/N ratios (b). To reinforce the analyses, the ANOVA is summarized in Table 7. Table 6. Order of influence of fracture strength. Level Graphene Infill Density Layer Height Speed Printing Angle Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio 1 23.66 27.43 23.72 27.45 24.59 27.78 24.80 27.84 26.40 28.42 2 25.49 28.10 25.43 28.08 24.56 27.75 24.35 27.69 22.75 27.10 Delta 1.84 0.68 1.71 0.63 0.04 0.03 0.45 0.15 3.65 1.32 Rank 2 3 5 4 1 Source: Table by Authors Table 7. ANOVA for fracture strength. Source DF Analysis of Variance for Means Analysis of Variance for S/N ratios Seq SS Contribution (%) P-Value Seq SS Contribution (%) P-Value Graphene 1 27.011 13.60% 0 3.657 13.74% 0 Infill Density 1 23.461 11.81% 0 3.1768 11.94% 0 Layer Height 1 0.011 0.01% 0.904 0.007 0.03% 0.798 Speed 1 1.62 0.82% 0.162 0.1759 0.66% 0.211 Printing Angle 1 106.58 53.67% 0 14.0005 52.61% 0 Graphene*Infill Density 1 0.125 0.06% 0.689 0.0493 0.19% 0.5 Graphene*Layer Height 1 0.02 0.01% 0.873 0.0004 0.00% 0.953 Graphene*Speed 1 0.551 0.28% 0.405 0.0618 0.23% 0.451 Graphene*Printing Angle 1 4.961 2.50% 0.021 0.9022 3.39% 0.009 Infill Density*Layer Height 1 2 1.01% 0.123 0.2789 1.05% 0.12 Infill Density*Speed 1 1.361 0.69% 0.198 0.1422 0.53% 0.258 Infill Density*Printing Angle 1 5.951 3.00% 0.013 0.9997 3.76% 0.007 Layer Height*Speed 1 0.451 0.23% 0.45 0.0375 0.14% 0.556 Layer Height*Printing Angle 1 12.251 6.17% 0.001 1.4483 5.44% 0.002 Speed*Printing Angle 1 0.18 0.09% 0.632 0.0202 0.08% 0.665 Residual Error 16 12.064 6.07% 1.6564 6.22% Total 31 198.6 100.00% 26.6142 100.00% Source: Table by Authors Unlike Yield Strength, Fracture Strength was predominantly influenced by the printing angle, being a significant parameter with more than 50% contribution to the fracture strength. It is also observed that some of its interactions are significant. The addition of graphene and infill density were also significant, but with a lower percentage of contribution compared to the printing angle. This analysis is similar to that of Mitrović et al. [24] as the increase in the printing angle affects the mechanical behavior due to the presence of shear forces, resulting in higher ductility at the expense of resilience. Therefore, the printing angle leads to a reduction in the fracture strength. Figure 7 shows the residual plots for the means and S/N ratio analyses, assessing the model’s adequacy to the data. The Normal Probability Plot confirms the normality of the residuals, with points close to the straight line and no significant outliers. The Versus Fits plot shows the residuals randomly distributed around the central line, with no indications of heteroscedasticity or systematic errors. The Histogram reinforces normality with a symmetric distribution centered at zero, while the Versus Order plot demonstrates the independence of the residuals, without patterns or temporal correlations. These results validate the model for parameter analysis and optimization. 3.1.3 Young’s Modulus Table 8 presents the values obtained from the statistical analysis of the means and signal-to-noise ratio for the Young's Modulus, considering the "larger is better" model. The coefficients of determination were 91.87% and 91.32%, respectively, indicating a high fit of the model to the data. Figure 8 displays the main effect plots for the means (a) and for the S/N ratios (b). To further support the analysis, the ANOVA is summarized in Table 9. Table 8. Order of influence of Young’s Modulus. Level Graphene Infill Density Layer Height Speed Printing Angle Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio Mean (MPa) S/N Ratio 1 0.7250 -2.819 0.7381 -2.668 0.7619 -2.389 0.7731 -2.265 0.7975 -1.979 2 0.8013 -1.939 0.7881 -2.089 0.7644 -2.369 0.7531 -2.492 0.7288 -2.778 Delta 0.0763 0.880 0.0500 0.579 0.0025 0.020 0.0200 0.227 0.0687 0.799 Rank 1 3 5 4 2 Source: Table by Authors Table 9. ANOVA for Young’s Modulus. Source DF Analysis of Variance for Means Analysis of Variance for S/N ratios Seq SS Contribution (%) P-Value Seq SS Contribution (%) P-Value Graphene 1 0.047 36.31% 0 6.194 35.88% 0 Infill Density 1 0.020 15.61% 0 2.686 15.56% 0 Layer Height 1 0.000 0.04% 0.792 0.003 0.02% 0.848 Speed 1 0.003 2.50% 0.048 0.413 2.39% 0.046 Printing Angle 1 0.038 29.52% 0 5.111 29.60% 0 Graphene*Infill Density 1 0.000 0.35% 0.433 0.111 0.64% 0.277 Graphene*Layer Height 1 0.001 0.62% 0.299 0.099 0.57% 0.304 Graphene*Speed 1 0.000 0.35% 0.433 0.038 0.22% 0.518 Graphene*Printing Angle 1 0.003 2.20% 0.061 0.527 3.05% 0.026 Infill Density*Layer Height 1 0.000 0.24% 0.512 0.046 0.27% 0.478 Infill Density*Speed 1 0.000 0.01% 0.895 0.001 0.01% 0.917 Infill Density*Printing Angle 1 0.002 1.41% 0.127 0.313 1.81% 0.077 Layer Height*Speed 1 0.002 1.18% 0.159 0.177 1.03% 0.174 Layer Height*Printing Angle 1 0.001 0.62% 0.299 0.099 0.57% 0.305 Speed*Printing Angle 1 0.000 0.35% 0.433 0.041 0.24% 0.504 Residual Error 16 0.011 8.68% 1.404 8.13% Total 31 0.128 100.00% 17.264 100.00% Source: Table by Authors Again, the order of influence has changed compared to the previous analyses. For the Young’s Modulus, it is observed that graphene has the greatest influence, with a contribution of over 35%, followed by the printing angle with approximately 30%. The fill density contributes only 15% to the value of the Young’s Modulus. This order occurs due to the ability of graphene to reinforce the polymer matrix, directly influencing the material's rigidity. Unlike the Yield Strength analysis, where fill density had a greater impact, the Young’s Modulus reflects the intrinsic rigidity of the material, while tensile strength is more sensitive to the internal structure (such as fill percentage and layer alignment). However, due to the anisotropy related to the FFF process, the orientation of the layers during printing significantly affects the elastic behavior of the material, potentially altering its ability to resist deformation [28-30]. Figure 9 shows that the residuals follow a normal distribution, are independent, and are randomly distributed, with no visible patterns or trends. These results indicate the adequacy of the adjusted model, confirming its validity for analysis and optimization of the parameters. 3.1.4 Yield Strain Table 10 presents the values obtained from the statistical analysis of the means and signal-to-noise ratio for Yield Strain, considering the "larger is better" model. The determination coefficients were 59.80% and 59.54%, respectively, indicating a low fit of the model to the data. Figure 10 presents the main effect graphs for the means (a) and for the S/N ratios (b). To reinforce the analysis, the ANOVA is summarized in Table 11, considering only significant parameters. Table 10. Order of influence of Yield Strain. Level Graphene Infill Density Layer Height Speed Printing Angle Mean (%) S/N Ratio Mean (%) S/N Ratio Mean (%) S/N Ratio Mean (%) S/N Ratio Mean (%) S/N Ratio 1 4.868 13.73 4.638 13.31 4.616 13.27 4.671 13.37 4.649 13.33 2 4.529 13.11 4.759 13.53 4.781 13.58 4.726 13.47 4.748 13.51 Delta 0.340 0.63 0.121 0.23 0.164 0.31 0.055 0.10 0.099 0.19 Rank 1 3 2 5 4 Source: Table by Authors Table 11. ANOVA for Yield Strain. Source DF Analysis of Variance for Means Analysis of Variance for S/N ratios Seq SS Contribution (%) P-Value Seq SS Contribution (%) P-Value Graphene 1 0.924 30.19% 0.003 3.131 29.90% 0.003 Infill Density 1 0.116 3.80% 0.238 0.412 3.94% 0.229 Layer Height 1 0.216 7.07% 0.114 0.769 7.34% 0.107 Speed 1 0.024 0.79% 0.585 0.088 0.84% 0.572 Printing Angle 1 0.078 2.54% 0.331 0.282 2.70% 0.316 Graphene*Infill Density 1 0.009 0.28% 0.742 0.036 0.34% 0.717 Graphene*Layer Height 1 0.078 2.54% 0.331 0.251 2.40% 0.343 Graphene*Speed 1 0.078 2.54% 0.331 0.266 2.54% 0.33 Graphene*Printing Angle 1 0.024 0.79% 0.585 0.119 1.13% 0.511 Infill Density*Layer Height 1 0.116 3.80% 0.238 0.359 3.43% 0.26 Infill Density*Speed 1 0.047 1.54% 0.447 0.178 1.70% 0.423 Infill Density*Printing Angle 1 0.001 0.03% 0.913 0.007 0.07% 0.869 Layer Height*Speed 1 0.024 0.79% 0.585 0.089 0.85% 0.57 Layer Height*Printing Angle 1 0.078 2.54% 0.331 0.246 2.35% 0.348 Speed*Printing Angle 1 0.009 0.28% 0.742 0.029 0.28% 0.742 Residual Error 16 1.239 40.46% 4.209 40.20% Total 31 3.062 100.00% 10.470 100.00% Source: Table by Authors The ANOVA for Yield Strain points to the presence of graphene as the only significant parameter, contributing approximately 30%. Due to the low determination coefficient, a high residual error value is observed. Despite the lower reliability in the data for Yield Strain, the results are consistent with previous analyses supported by the literature, where graphene influences by reducing the amount of amorphous regions and creating greater resistance to shear, increasing stiffness and promoting a reduction in Yield Strain [18]. The residual analysis once again shows that the residuals behave in a manner consistent with a normal distribution, independence between the values, and no visible patterns or trends (Figure 11). These results confirm that the adjusted model is suitable for the analysis and optimization of the evaluated parameters. 3.1.5 Rupture Strain Table 12 presents the values obtained from the statistical analysis of the means and S/N ratio for Rupture Strain, considering the "larger is better" model. The R² coefficients were 84.47% and 82.80%, respectively, indicating a good fit of the model to the data. Figure 12 presents the main effects plots for the means (a) and S/N ratios (b). To reinforce the analysis, the ANOVA is summarized in Table 13. Table 12. Order of influence of Rupture Strain. Level Graphene Infill Density Layer Height Speed Printing Angle Mean (%) S/N Ratio Mean (%) S/N Ratio Mean (%) S/N Ratio Mean (%) S/N Ratio Mean (%) S/N Ratio 1 6.118 15.44 5.504 14.56 5.121 14.05 5.647 14.76 4.956 13.84 2 5.274 14.34 5.888 15.23 6.272 15.73 5.746 15.02 6.436 15.94 Delta 0.844 1.10 0.384 0.67 1.151 1.67 0.099 0.26 1.480 2.10 Rank 3 4 2 5 1 Source: Table by Authors Table 13. ANOVA for Yield Strain. Source DF Analysis of Variance for Means Analysis of Variance for S/N ratios Seq SS Contribution (%) P-Value Seq SS Contribution (%) P-Value Graphene 1 5.7027 9.63% 0.006 9.679 8.37% 0.013 Infill Density 1 1.1782 1.99% 0.171 3.612 3.12% 0.108 Layer Height 1 10.6042 17.91% 0.001 22.445 19.41% 0.001 Speed 1 0.0779 0.13% 0.718 0.558 0.48% 0.512 Printing Angle 1 17.5294 29.60% 0 35.393 30.61% 0 Graphene*Infill Density 1 0.1164 0.20% 0.659 0.252 0.22% 0.658 Graphene*Layer Height 1 3.8175 6.45% 0.02 6.634 5.74% 0.035 Graphene*Speed 1 1.6168 2.73% 0.113 3.252 2.81% 0.125 Graphene*Printing Angle 1 2.7018 4.56% 0.046 2.758 2.39% 0.156 Infill Density*Layer Height 1 1.7784 3.00% 0.098 3.111 2.69% 0.133 Infill Density*Speed 1 0.1626 0.27% 0.602 0.492 0.43% 0.538 Infill Density*Printing Angle 1 0.001 0.00% 0.968 0.001 0.00% 0.983 Layer Height*Speed 1 0.1626 0.27% 0.602 0.466 0.40% 0.549 Layer Height*Printing Angle 1 4.0638 6.86% 0.017 6.261 5.42% 0.039 Speed*Printing Angle 1 0.5088 0.86% 0.361 0.825 0.71% 0.427 Residual Error 16 9.1951 15.53% 19.882 17.20% Total 31 59.2173 100.00% 115.62 100.00% Source: Table by Authors Regarding Rupture Strain, the ANOVA shows several significant parameters, with a p-value < 0.05. The contribution of the printing angle stands out, with approximately 30% influence, followed by the layer thickness, where a higher thickness leads to greater plastic deformation. Lastly, graphene contributes again by reducing the deformation effects of the polymer. Some interactions of the printing angle also affect the rupture properties, but with a smaller proportion. Finally, Figure 13 shows that the residuals follow a normal distribution, are independent, and do not present systematic patterns, indicating that the adjusted model is suitable for interpreting the data and optimizing the studied parameters. 4. Conclusions The aim of this study was to investigate the influence of adding 0.1%w graphene on the mechanical behavior of PLA filaments printed by FFF, considering different printing parameters such as infill density, layer height, print speed, and printing angle. The research used the Taguchi L32 experimental design to systematically analyze how these variables impact the mechanical properties of the samples, focusing on yield strength, tensile strength, Young’s modulus, and strain at deformation and fracture. The goal was to identify optimal parameter combinations that would optimize the mechanical performance of PLA-graphene composites, aiming for applications in industrial and advanced contexts requiring high-performance materials. The addition of graphene to PLA demonstrated significant improvements in the mechanical properties of the printed parts, especially in tensile strength and Young’s modulus. The best results in this aspect were achieved with printing parameters of 30% infill density, 0.2 mm layer height, 150 mm/s print speed, and a 0° printing angle. Compared to pure PLA, the PLA with graphene exhibited average increases of 9.88% in tensile strength, 10.31% in Young’s modulus, but also a reduction in ductility, reflecting the effect of graphene as a stress concentrator. The ANOVA highlighted that graphene and infill density were the most influential factors for most of the properties analyzed, while the printing angle had a significant impact on ductility. In several analyses, print speed had little influence, suggesting the possibility of working with higher values for this parameter to achieve greater productivity. The residual plots validated the adequacy of the statistical model, ensuring the reliability of the data and inferences made. For Yield Strength, the most relevant factors were graphene (31.56%), infill density (27.42%), and printing angle (16.75%). The best performance was observed in the sample with graphene, layer height of 0.2 mm, 30% infill, and a 0° angle, achieving a yield strength of 29.7 MPa, representing almost a 10% increase compared to pure PLA. For Young’s modulus, graphene contributed 36.31%, followed by printing angle (29.52%) and infill density (15.61%). The highest value obtained was 0.88 GPa, indicating a significant improvement in the material’s rigidity. Regarding strain at fracture, the printing angle had the greatest influence (29.60%), followed by layer height (17.91%) and graphene (9.63%). It was observed that graphene reduced ductility by about 5%, while 45° printing angles promoted greater deformation due to the combination of shear and partial alignment of the layers. Fracture stress was also largely influenced by the printing angle (53.67%), followed by graphene (13.60%) and infill density (11.81%). For deformation at yield strength, graphene was the most significant factor, contributing 30%, while the other parameters had less than 10% influence. The results indicate that PLA with graphene is promising for industrial applications requiring higher strength and rigidity, such as functional components and structures subjected to moderate stresses. However, balancing rigidity and ductility is essential to meet different demands, especially in impact-prone applications. Additionally, the application of the Taguchi method was effective in optimizing parameters in 3D printing, enabling cost reduction and process quality improvement. For future work, it is recommended to investigate the impact of higher graphene concentrations, as well as explore the interaction of the material with other additives or fillers. Additional properties such as electrical and thermal conductivity could be analyzed to expand the potential for use in electronic devices and sensors. Finally, an evaluation of the sustainability of PLA-graphene, considering its life cycle, could reinforce its viability in the context of the circular economy and sustainable industry. Declarations This manuscript is original and has not been submitted for publication elsewhere. This study did not receive specific grants from public, commercial, or not-for-profit funding agencies. The manuscript has no associated data from any data repository. Each author contributed to the research presented in this manuscript, approved the contents, and agreed to comply with the ethical standards. The authors declare that they have no competing financial interests or personal relationships that could have influenced this study. Author Contribution E.P. and C.L. were responsible for conceptualizing the study and drafting the initial sections of the manuscript. T.B. contributed to the development of the discussion and conclusion sections. B.N. and L.S. designed and carried out the experimental procedures, ensuring accurate data collection. C.K. performed statistical analyses and interpreted the experimental results. All authors collaboratively reviewed and revised the manuscript for intellectual content, ensuring its final version met the publication standards. Acknowledgement This study was supported by the Federal Institute of Education, Science and Technology of Rio Grande do Sul (IFRS). The authors would like to thank F3D for the donation of filaments, the Digital Innovation and Fabrication Laboratory of the School of Engineering at UFRGS for the development of test specimens, and the FINEP INFRAEE18 / PROPESQ UFRGS Project for the financial support to the laboratory. References Özdemir, U., Özbay, B., Özbay, I., & Veli, S. 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Lauermann","email":"","orcid":"","institution":"Federal University of Rio Grande do Sul","correspondingAuthor":false,"prefix":"","firstName":"Carlos","middleName":"H.","lastName":"Lauermann","suffix":""},{"id":399637680,"identity":"a3bedaa9-1826-403d-8fd4-8ca4c1b283ec","order_by":2,"name":"Tiago J. Bortoli","email":"","orcid":"","institution":"Federal Institute of Rio Grande do Sul","correspondingAuthor":false,"prefix":"","firstName":"Tiago","middleName":"J.","lastName":"Bortoli","suffix":""},{"id":399637681,"identity":"e164f198-5736-4de3-86d4-6d666c55d7f5","order_by":3,"name":"Bruno Nonemacher","email":"","orcid":"","institution":"Federal Institute of Rio Grande do Sul","correspondingAuthor":false,"prefix":"","firstName":"Bruno","middleName":"","lastName":"Nonemacher","suffix":""},{"id":399637682,"identity":"89147bdd-6384-427f-aba0-436f29827dea","order_by":4,"name":"Luiz F. S. Silva","email":"","orcid":"","institution":"Federal Institute of Rio Grande do Sul","correspondingAuthor":false,"prefix":"","firstName":"Luiz","middleName":"F. S.","lastName":"Silva","suffix":""},{"id":399637683,"identity":"2b9b9621-804e-47b6-a6f7-3e674ff5f767","order_by":5,"name":"Cristiano Kulman","email":"","orcid":"","institution":"Federal Institute of Rio Grande do Sul","correspondingAuthor":false,"prefix":"","firstName":"Cristiano","middleName":"","lastName":"Kulman","suffix":""}],"badges":[],"createdAt":"2024-12-31 13:23:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5742211/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5742211/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":73341075,"identity":"7eec2a8a-c4c3-45bb-a12a-5cb0bf00e1cb","added_by":"auto","created_at":"2025-01-09 05:26:50","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":480033,"visible":true,"origin":"","legend":"\u003cp\u003e3D printing equipment used for the fabrication of test specimens, available at LIFFELAB.\u003c/p\u003e","description":"","filename":"fig1.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/34b3474514cde1cf64856605.png"},{"id":73341502,"identity":"dca02658-2130-4cbb-bcd6-783f43f616b7","added_by":"auto","created_at":"2025-01-09 05:34:52","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":235187,"visible":true,"origin":"","legend":"\u003cp\u003eExperimental setup for the tensile test.\u003c/p\u003e","description":"","filename":"fig2.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/a485f47e915bd25902959e1c.png"},{"id":73341110,"identity":"4ae7a136-b458-423c-a26d-980c51412e64","added_by":"auto","created_at":"2025-01-09 05:26:53","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":11631,"visible":true,"origin":"","legend":"\u003cp\u003eStress x Strain curves for samples 8 and 29.\u003c/p\u003e","description":"","filename":"fig3.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/d68ab0f201e36c3eca4f8f2d.png"},{"id":73341112,"identity":"2eedd4b4-e3f1-4f17-8cdf-f9c366e39550","added_by":"auto","created_at":"2025-01-09 05:26:53","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":192728,"visible":true,"origin":"","legend":"\u003cp\u003eYield Strength in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig4.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/876b5b932a7b2de65d4fb639.png"},{"id":73341106,"identity":"68793292-73fb-4b75-adb8-f607a26dff4c","added_by":"auto","created_at":"2025-01-09 05:26:52","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":296087,"visible":true,"origin":"","legend":"\u003cp\u003eYield Strength residuals in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig5.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/dca84cd07911406b9e965352.png"},{"id":73341050,"identity":"01b5eeeb-c3de-4bf4-a7e8-709521d886b0","added_by":"auto","created_at":"2025-01-09 05:26:48","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":186625,"visible":true,"origin":"","legend":"\u003cp\u003eFracture Strength in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig6.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/9b48ec74ace3f37ecf854858.png"},{"id":73341074,"identity":"52fc5b02-5fc5-4982-823f-7021a62480b8","added_by":"auto","created_at":"2025-01-09 05:26:50","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":292690,"visible":true,"origin":"","legend":"\u003cp\u003eFracture Strength residuals in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig7.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/32ffd1e38ca42263a62c4632.png"},{"id":73341492,"identity":"98454111-40f9-4cd0-9a10-6b1448e56340","added_by":"auto","created_at":"2025-01-09 05:34:48","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":186809,"visible":true,"origin":"","legend":"\u003cp\u003eYoung’s Modulus in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig8.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/591609494045412b904d58d7.png"},{"id":73341084,"identity":"5d65cd3b-7ad9-421f-b04e-ba28e80cdded","added_by":"auto","created_at":"2025-01-09 05:26:51","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":312711,"visible":true,"origin":"","legend":"\u003cp\u003eYoung’s Modulus residuals in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig9.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/f130154d5176a7cb5df43c2f.png"},{"id":73341104,"identity":"f160bb16-8067-4642-92c5-c44a0d0b2396","added_by":"auto","created_at":"2025-01-09 05:26:52","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":178767,"visible":true,"origin":"","legend":"\u003cp\u003eYield Strain in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig10.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/8827bd3c659b70f0b69ceae0.png"},{"id":73341030,"identity":"f6f7699a-b9dc-41bc-af90-41db77f6c8f0","added_by":"auto","created_at":"2025-01-09 05:26:46","extension":"png","order_by":11,"title":"Figure 11","display":"","copyAsset":false,"role":"figure","size":299524,"visible":true,"origin":"","legend":"\u003cp\u003eYield Strain residuals in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig11.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/e7d6f80a13d618fd5447a604.png"},{"id":73341099,"identity":"7b011c35-97ff-4f16-bceb-7f1623a23c5c","added_by":"auto","created_at":"2025-01-09 05:26:52","extension":"png","order_by":12,"title":"Figure 12","display":"","copyAsset":false,"role":"figure","size":183256,"visible":true,"origin":"","legend":"\u003cp\u003eRupture Strain in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig12.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/2a4c988ff49f577c3e28dc2b.png"},{"id":73341119,"identity":"82933471-674a-49b6-8559-0911c384f13a","added_by":"auto","created_at":"2025-01-09 05:26:53","extension":"png","order_by":13,"title":"Figure 13","display":"","copyAsset":false,"role":"figure","size":271577,"visible":true,"origin":"","legend":"\u003cp\u003eRupture Strain residuals in terms of: (a) mean of means and (b) S/N ratio.\u003c/p\u003e","description":"","filename":"fig13.png","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/d8166d6fa2c56918d7b41355.png"},{"id":75790614,"identity":"0017c3ce-7858-497c-988d-200e059957da","added_by":"auto","created_at":"2025-02-08 12:16:44","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4331415,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5742211/v1/e1e4214c-3024-47d1-9e3b-6efca21fe6e3.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eAnalyzing the Influence of Graphene and Print Parameters on Pla-graphene Composites Using the Taguchi Method\u003c/p\u003e","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003eIn recent years, rapid prototyping has played a significant role in the innovation of manufacturing processes, offering flexibility, precision, and a wide range of materials for the production of prototypes and final products [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e]. With its ability to transform digital files into physical objects, 3D printing through Fused Filament Fabrication (FFF) provides a high level of flexibility and accuracy, enabling the creation of complex geometries that would be impractical or impossible with conventional methods [\u003cspan additionalcitationids=\"CR3\" citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e]. The technology also enables mass customization and on-demand production, reducing costs and the development time for new products, while minimizing material waste by manufacturing only what is necessary [\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e]. Additionally, the continuous advancement in the materials available for printing \u0026ndash; including polymers, metals, ceramics, and composites \u0026ndash; has significantly expanded the application areas, from functional prototypes in the automotive and aerospace industries to finished products in sectors such as healthcare, construction, and consumer electronics. These advancements solidify FFF as an essential technology for Industry 4.0, enhancing innovation and efficiency across various production chains [\u003cspan additionalcitationids=\"CR7\" citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e].\u003c/p\u003e \u003cp\u003ePolylactic acid (PLA) is one of the most widely used polymers in rapid prototyping, especially in fusion deposition modeling technologies, due to its biodegradability, ease of processing, and affordable cost, making it a popular choice for both domestic and industrial applications. PLA is a material that exhibits low susceptibility to deformation (a defect known as warping), good surface quality, and a wide range of colors and styles. Derived from renewable sources such as corn starch and sugarcane, PLA also attracts attention for its ecological profile, contributing to the reduction of reliance on petroleum-based plastics and aligning with sustainable practices. However, its limited mechanical and thermal properties, such as low impact resistance and reduced durability under extreme conditions, restrict its use in applications that require high-performance materials [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e]. Based on this, studies have directly investigated the effects of 3D printing parameters aimed at enhancing mechanical strength [\u003cspan additionalcitationids=\"CR11\" citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eTo overcome these limitations and expand the potential uses of PLA, several studies have explored the addition of reinforcing materials to enhance its strength, stiffness, and even electrical conductivity [\u003cspan additionalcitationids=\"CR14\" citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]. The use of nanoparticles, natural fibers, and more recently, nanomaterials such as graphene, has been widely investigated to improve the mechanical, thermal, and electrical properties of PLA. These reinforcing materials aim not only to optimize PLA\u0026rsquo;s performance in functional parts and advanced prototypes but also to expand its application potential in sectors that demand materials with higher strength and additional functionalities [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e, \u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e]. This approach has enabled PLA to transcend the limitations of a basic polymer and become a promising foundation for high-performance composites, enhancing its use in innovative projects and advanced industrial applications [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eGraphene, an allotrope of carbon, emerges as a promising reinforcement due to its exceptional mechanical, thermal, and electrical properties, which include high strength, lightness, and excellent conductivity [\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]. The incorporation of graphene into PLA presents an innovative strategy for creating composites with enhanced properties, allowing FFF-produced parts to be applied in more demanding and technical contexts [\u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eCamargo et al. [\u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e] studied the mechanical properties of tensile strength, flexural strength, and impact energy of 3D printed parts made using FFF technology with a PLA-graphene composite, varying the infill parameters and layer thickness, using a statistical technique known as CCD \u0026ndash; Central Composite Design. Due to the layer-by-layer production process, 3D printed parts exhibit anisotropic behavior. In the tests, the planar orientation and the honeycomb infill pattern were kept constant. Among the results obtained, it was observed that the mechanical properties improve as the layer thickness parameter increases. Tensile strength (σt) was significantly influenced by both infill and layer thickness (both linear), with the highest tensile strength (33.7 MPa) obtained with layer thickness\u0026thinsp;=\u0026thinsp;0.27 mm and infill\u0026thinsp;=\u0026thinsp;78%. The results also revealed that tensile strength increases with an increase in both layer thickness and infill. The σt/printing time and σt/weight ratios were higher when both infill and layer thickness were at their maximum values. Flexural strength (σf) was strongly influenced by infill and layer thickness (both linear), according to the model adopted for the analysis. The highest flexural strength (60.9 MPa) was obtained with the parameters of layer thickness\u0026thinsp;=\u0026thinsp;0.27 mm and infill\u0026thinsp;=\u0026thinsp;78%. The study also revealed that flexural strength increases with an increase in both layer thickness and infill. The σf/printing time and σf/weight ratios were higher for infill\u0026thinsp;=\u0026thinsp;22% and layer thickness\u0026thinsp;=\u0026thinsp;0.27 mm. Finally, impact energy (Ei) was influenced by infill and layer thickness (both linear), according to the model adopted for the maximum limits of each parameter. The Ei/printing time and Ei/weight ratios were higher for infill\u0026thinsp;=\u0026thinsp;85% and layer thickness\u0026thinsp;=\u0026thinsp;0.30 mm. However, one limitation of the study is the use of a commercial filament, with the percentage of graphene used being minimally explored, as well as the analysis of graphene's influence on the properties of natural PLA.\u003c/p\u003e \u003cp\u003eLiesenfeld et al. [\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e] explored the effects of graphene incorporation on the chemical, thermal, electrical, and mechanical properties of PLA (polylactic acid) used in 3D printing. Detailed tests were conducted using techniques such as Raman spectroscopy, FTIR, DSC, and thermogravimetric analysis (TGA), in addition to mechanical tests for tensile strength, flexural strength, and impact resistance. The results show that the addition of graphene significantly improves the elastic modulus (+\u0026thinsp;71.8%) and tensile strength (+\u0026thinsp;33.2%) of PLA, as well as increases hardness (34%) and imparts electrical conductivity to the material. However, a reduction in ductility and impact resistance was observed due to graphene acting as a stress concentrator. The authors highlight that the addition of graphene promotes greater thermal stability and crystallization in PLA during printing, enhancing its potential for industrial applications requiring materials with improved mechanical and electrical properties. This work broadens the understanding of PLA-graphene nanocomposites and suggests new opportunities for additive manufacturing.\u003c/p\u003e \u003cp\u003eAs presented in the literature, the use of experimental design in rapid prototyping is essential for optimizing process parameters and, consequently, improving the quality and performance of the manufactured parts. Among the applicable methodologies, the Taguchi method stands out for its effectiveness in reducing variability and enhancing the robustness of manufacturing processes [\u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e]. In the context of FFF, the Taguchi method enables a systematic analysis of the effects of multiple factors, such as extrusion temperature, printing speed, layer thickness, and infill pattern, with a reduced number of experiments. This is made possible through the use of orthogonal array systems, which efficiently organize experiments, maximizing the value of the information obtained. As a result, the Taguchi method allows for the identification of parameter combinations that minimize defects, maximize mechanical properties, and reduce costs, directly contributing to the development of more reliable parts with high performance in specific applications [\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eAn example of the application of statistical techniques in rapid prototyping was presented by Hikmat et al. [\u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e22\u003c/span\u003e], who used the fractional mixed factorial design model of Taguchi, consisting of eighteen experiments. PLA samples were printed using an FFF 3D printer and tested for tensile strength on a universal testing machine. The authors aimed to obtain the optimal combination of parameters, selected using the signal-to-noise (S/N) ratio and Analysis of Variance (ANOVA) to identify significant parameters and their effect on tensile strength. Additionally, a linear regression model was developed in the study to predict the tensile strength of the printed part. The results showed that the part's strength was influenced by the selected process parameters, where only three of them \u0026mdash; build orientation, nozzle diameter, and infill density \u0026mdash; were statistically significant and strongly impacted the result. The build orientation had the most significant effect on tensile strength (44.68%). The results indicated that the ideal parameters were build orientation (at the edge), raster orientation (30/-60\u0026ordm;), nozzle diameter (0.5 mm), extruder temperature (220 \u0026ordm;C), infill density (100%), number of layers (3), and extrusion speed (20 mm/s). Finally, the validation test showed a good agreement between experimental and statistical data, with the ideal process parameter combination resulting in a tensile strength of 58.05 MPa.\u003c/p\u003e \u003cp\u003eConsidering the constant pursuit of improvements in the mechanical properties of components produced by the FFF process, this study proposes, for the first time, to explore the effects of the composite resulting from the addition of graphene to PLA filament on the mechanical behavior of these materials. The research uses the Taguchi experimental methodology to perform a robust statistical analysis, investigating not only the influence of graphene but also how critical printing parameters \u0026mdash; such as infill percentage, layer height, printing speed, and printing angle \u0026mdash; affect the mechanical properties of graphene-reinforced PLA. Through this approach, the study seeks to understand the interaction between graphene and printing variables, quantifying their impact on critical aspects such as tensile strength, elastic modulus, ductility, and impact resistance.\u003c/p\u003e"},{"header":"2. Materials and Methods","content":"\u003cp\u003ePolylactic acid, manufactured by the F3D brand, is a bioplastic produced from renewable sources, such as corn starch or sugarcane. This material is widely used in 3D printing due to its ease of handling, low toxicity, and compostability. Table 1 presents the technical information and properties of the natural material, as provided by the manufacturer. For the tests conducted with graphene, a mass concentration of 0.1% of the dispersion was added during filament manufacturing.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 1 \u0026ndash; Material Information, as provided by the manufacturer.\u003c/p\u003e\n\u003cdiv align=\"\"\u003e\n \u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"2\" style=\"width: 305px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eTechnical Specifications\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 310px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eMaterial Properties\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 202px;\"\u003e\n \u003cp\u003eFilament Diameter\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 103px;\"\u003e\n \u003cp\u003e1.75 mm\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 214px;\"\u003e\n \u003cp\u003eFilament Diameter\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 96px;\"\u003e\n \u003cp\u003e1.75 mm\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 202px;\"\u003e\n \u003cp\u003eDiameter Tolerance\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 103px;\"\u003e\n \u003cp\u003e\u0026plusmn; 0.05 mm\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 214px;\"\u003e\n \u003cp\u003eDiameter Tolerance\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 96px;\"\u003e\n \u003cp\u003e\u0026plusmn; 0.05 mm\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 202px;\"\u003e\n \u003cp\u003eRecommended Extrusion Temperature\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 103px;\"\u003e\n \u003cp\u003e205-230 \u0026ordm;C\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 214px;\"\u003e\n \u003cp\u003eRecommended Extrusion Temperature\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 96px;\"\u003e\n \u003cp\u003e205-230 \u0026ordm;C\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 202px;\"\u003e\n \u003cp\u003ePrint Bed Temperature\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 103px;\"\u003e\n \u003cp\u003e25-60 \u0026ordm;C\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 214px;\"\u003e\n \u003cp\u003ePrint Bed Temperature\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 96px;\"\u003e\n \u003cp\u003e25-60 \u0026ordm;C\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003eThe test specimens were prepared in the Innovation and Digital Fabrication Laboratory of the School of Engineering at the Federal University of Rio Grande do Sul (LIFFELAB) in accordance with ASTM D638 type-I standards, using the Bambu Lab X1-Carbon 3D printer. The nozzle and printing diameter used were 0.4 mm (Figure 1). The print bed utilized is made of textured PEI material, recommended for printing materials such as PLA, ABS, TPU, and PVA without the need for adhesion materials. The slicing software used was BambuStudio version 1.10.1.50.\u003c/p\u003e\n\u003cp\u003eThe constant parameters used for the printing of the test specimens were configured according to the printer model and filament brand, being experimentally adjusted to achieve better print quality, as presented in Table 2.\u003c/p\u003e\n\u003cp\u003eTable 2 - Constant Printing Parameters\u003c/p\u003e\n\u003cdiv align=\"\"\u003e\n \u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eParameters\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eValue\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eTop Layers \u0026nbsp; \u0026nbsp; \u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eBottom Layers\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eHorizontal Expansion \u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003e0 mm\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eInfill Pattern \u0026nbsp; \u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003eCubic\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003ePrinting Temperature \u0026nbsp; \u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003e220 \u0026ordm;C\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eBed Temperature \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003e60 \u0026ordm;C\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eSupport\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003eNo\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 317px;\"\u003e\n \u003cp\u003eAdhesion\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 108px;\"\u003e\n \u003cp\u003eNo\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eIn order to statistically assess the influence of graphene addition, the Minitab\u003csup\u003e\u0026reg;\u003c/sup\u003e 18 software was used to design the experimental plan using the Taguchi L32 methodology, consisting of two levels (minimum and maximum) and five factors (Graphene, Infill Density, Layer Height, Speed, and Printing Angle) (Table 3). In addition to graphene, the other factors are highlighted in the literature as significant parameters influencing the mechanical behavior of PLA printing [19, 22, 23].\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 3 - Printing Parameters Used in the Taguchi Method\u003c/p\u003e\n\u003cdiv align=\"\"\u003e\n \u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"91%\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 37px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eControllable Factors \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"2\" style=\"width: 18px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eUnit\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 44px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eLevels\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 21px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eMinimum\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(-1)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 22px;\"\u003e\n \u003cp\u003e\u003cstrong\u003eMaximum\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(+1)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 37px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 18px;\"\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 21px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 22px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 37px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 18px;\"\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 21px;\"\u003e\n \u003cp\u003e15%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 22px;\"\u003e\n \u003cp\u003e30%\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 37px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 18px;\"\u003e\n \u003cp\u003e(mm)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 21px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 22px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 37px;\"\u003e\n \u003cp\u003eSpeed\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 18px;\"\u003e\n \u003cp\u003e(mm/s)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 21px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 22px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 37px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 18px;\"\u003e\n \u003cp\u003e(\u0026ordm;)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 21px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 22px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe mechanical properties of the materials were evaluated through tensile tests. The uniaxial tensile test was conducted using an EMIC DL-1000 machine, a microprocessed electromechanical type with dual spindles and two parallel cylindrical guide columns, with a maximum capacity of 5,000 kgf (50 kN) and a speed of 5 mm/min, until fracture of the test specimens. During the test, yield stress, tensile strength, elastic modulus, and elongation at deformation and fracture were assessed. For each material, three samples were tested, and the results were averaged. Figure 2 illustrates the tensile testing apparatus. During the test, forces and displacements were recorded by the TEAK 400 software.\u003c/p\u003e"},{"header":"3. Results and Discussion","content":"\u003cp\u003eTable 4 presents the overall results obtained from the tensile tests, also highlighting the variations based on the average of three tests (not represented in the Young\u0026apos;s modulus due to non-representative variations). In an initial analysis, it is observed that the highest values of Yield Strength and Ultimate Strength are concentrated in the samples with higher infill density and the presence of graphene, with sample 31 standing out (Yield Strength = 29.7 MPa; Ultimate Strength = 28.3 MPa). On the other hand, the lowest results are obtained for natural PLA samples with 15% infill, such as sample 2 (Yield Strength = 20.3 MPa; Ultimate Strength = 19.3 MPa). The same analysis applies to the Young\u0026apos;s Modulus, with the highest value in sample 29 (0.88 GPa) and the lowest in sample 8 (0.62 GPa). The comparison between the curves is shown in Figure 3.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 4 - Parameters and Test Results.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"622\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eSample\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eGraphene (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eInfill Density (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eLayer Height (mm)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003eSpeed (mm/s)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003ePrinting Angle (\u0026ordm;)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003eYield Strength\u0026nbsp;(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eYield Strain (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eYoung\u0026rsquo;s Modulus (GPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eFracture Strength\u0026nbsp;(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eFracture Strain (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e25.1\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.77\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e25.1\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.4\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e20.3\u0026plusmn;1.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.4\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.67\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e19.3\u0026plusmn;1.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.4\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e24.8\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e24.7\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n 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style=\"width: 57px;\"\u003e\n \u003cp\u003e9.5\u0026plusmn;0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e26.8\u0026plusmn;0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.1\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e26.1\u0026plusmn;0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.6\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e8\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e22.5\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.1\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n 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style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e26.7\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e26.3\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.3\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e23.9\u0026plusmn;0.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e7.9\u0026plusmn;0.8\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e11\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n 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59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e24.2\u0026plusmn;1.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.9\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.69\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e21.3\u0026plusmn;1.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e8.2\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e27.0\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.9\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.79\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e26.1\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n 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57px;\"\u003e\n \u003cp\u003e0.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e25.7\u0026plusmn;0.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.2\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e18\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e26.1\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e23.5\u0026plusmn;1.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.3\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e19\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e25.9\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.2\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.80\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e25.8\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.4\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e25.5\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e23.9\u0026plusmn;0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.1\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e21\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n 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54px;\"\u003e\n \u003cp\u003e24\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e26.0\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.72\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e22.0\u0026plusmn;1.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n 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\u003cp\u003e27.8\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.4\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e26\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e28.0\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.4\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.84\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e27.5\u0026plusmn;0.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e27\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e28.3\u0026plusmn;0.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.9\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e25.0\u0026plusmn;0.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e6.3\u0026plusmn;0.5\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e28\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e28.3\u0026plusmn;0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.7\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.79\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e24.7\u0026plusmn;0.8\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e6.1\u0026plusmn;0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e29\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e29.5\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.88\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e28.2\u0026plusmn;0.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.9\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e150\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e28.0\u0026plusmn;0.6\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.80\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e24.6\u0026plusmn;0.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e6.1\u0026plusmn;0.0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e29.7\u0026plusmn;0.6\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.9\u0026plusmn;0.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.84\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e28.3\u0026plusmn;0.8\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e5.6\u0026plusmn;0.4\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e32\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e30\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e27.6\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e4.6\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e24.2\u0026plusmn;0.2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e6.1\u0026plusmn;0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u003c/p\u003e\n\u003cp\u003eEvaluating the deformations, it is observed that despite the characteristic brittle behavior of PLA, where in most samples the Yield Strain \u0026asymp; Fracture Strain, some samples exhibit ductile behavior, with Fracture Strain \u0026ge; Yield Strain. This behavior is observed in the samples with a printing angle of 45\u0026ordm; with natural PLA, being higher in sample 6 (Fracture Strain = 9.5\u0026plusmn;0.9%). According to Liesenfeld et al., 2024, the addition of graphene contributes to a reduction in the ductility of PLA, as the graphene nanoparticles act as stress concentrators, facilitating crack initiation and propagation. Additionally, graphene restricts the movement of polymer chains and promotes increased local crystallinity, which reduces the material\u0026apos;s ability to deform plastically. Regarding the influence of the printing angle, Mitrović et al. [24] point out that at 0\u0026ordm;, the polymer fibers are aligned with the force axis, directly supporting the load, so the rupture occurs quickly when the stress reaches the material\u0026apos;s strength limit, with little plastic deformation, whereas at 90\u0026ordm;, the layers are subjected to shear forces, allowing more deformation before rupture, but with lower tensile strength. Finally, at 45\u0026ordm;, there is a combination of these effects, justifying a mixed behavior and greater ductility compared to printing at 0\u0026ordm;.\u003c/p\u003e\n\u003cp\u003eIt is also possible to highlight a relationship between the deviations in maximum and rupture stresses with the input parameters, being higher in samples 14 and 2, where there is an absence of graphene and a 45\u0026ordm; angle. Once again, the influences of shear forces and movement of the natural polymer chains affect the process, impacting the repeatability of the results.\u003c/p\u003e\n\u003cp\u003eFinally, evaluating the values obtained from the parameters with and without graphene addition (samples 1 to 16 compared to 17 to 32), the results show that the addition of graphene to PLA significantly improves its mechanical properties. The 10.31% increase in Young\u0026apos;s modulus reflects a greater material stiffness, essential for applications requiring resistance to elastic deformations. Meanwhile, the 9.88% increase in maximum stress and 8.34% in rupture stress indicate greater resistance and durability of the material before failure, expanding its potential for components that face higher loads. These improvements are particularly relevant in the context of FFF with PLA, given its limitations due to low mechanical strength compared to other thermoplastics [17, 25, 26].\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e3.1 Analysis of Variance\u003c/strong\u003e\u003cstrong\u003e\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eTo assess the statistical significance of the results and the influence of controllable input factors on the analyzed parameters, an analysis of variance was conducted. The results obtained by the Taguchi method are presented through two main graphs: one representing the arithmetic mean of the responses (mean of the means) for each level of the analyzed parameters and another illustrating the signal-to-noise ratio (S/N). The signal-to-noise ratio plays a crucial role in the Taguchi analysis, as it allows for evaluating the robustness of a process in relation to experimental conditions and data variability. This metric measures the relationship between performance (signal) and sources of variation (noise), facilitating the identification of configurations that maximize the desired response while minimizing undesirable effects [22, 27].\u003c/p\u003e\n\u003cp\u003eMoreover, residual analysis is essential for validating statistical models, evaluating assumptions such as normality, randomness, homoscedasticity, and independence. Residuals are the differences between the observed and predicted values of the model, and their analysis helps identify patterns that may indicate issues such as lack of fit, omitted variables, or heteroscedasticity. Outliers can also be detected, as extreme values may distort the results. By ensuring that the residuals are random and follow a normal distribution, residual analysis guarantees the reliability of inferences, making it crucial for assessing and improving the robustness of the model and the quality of conclusions [23, 24, 27].\u003cstrong\u003e\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e3.1.1 Yield Strength\u003c/strong\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 5 presents the values obtained from the statistical analysis of the means and the signal-to-noise ratio for Yield Strength, considering the \u0026quot;larger is better\u0026quot; model. The determination coefficients (R\u0026sup2;) were 89.99% and 91.13%, respectively, indicating a good fit of the model to the data. Figure 4 presents the main effects plots for the means (a) and for the S/N ratios (b). To further support the analyses, the ANOVA is summarized in Table 6.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 5. Order of influence of yield strength.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 57px;\"\u003e\n \u003cp\u003eLevel\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 122px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 113px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e24.95\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e27.91\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e25.03\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e27.94\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e25.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.17\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e26.22\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.34\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e27.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.62\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e27.34\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e27.26\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.70\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e26.56\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.46\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e26.07\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.29\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e25.27\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e28.01\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eDelta\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003e2.39\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.82\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e2.23\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.76\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.83\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.29\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.14\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.05\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e1.74\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003e0.61\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eRank\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 122px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003e4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003e5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 113px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u003c/p\u003e\n\u003cp\u003eTable 6. ANOVA for yield strength.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"643\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 172px;\"\u003e\n \u003cp\u003eSource\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"2\" style=\"width: 36px;\"\u003e\n \u003cp\u003eDF\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 218px;\"\u003e\n \u003cp\u003eAnalysis of Variance for Means\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 217px;\"\u003e\n \u003cp\u003eAnalysis of Variance for S/N ratios\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e45.84\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e31.56%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e5.3824\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e30.17%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e39.828\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e27.42%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e4.6543\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e26.09%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e5.528\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e3.81%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.019\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.6801\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.81%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.025\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.165\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.11%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.657\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0199\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.11%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.679\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e24.325\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e16.75%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e2.9741\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e16.67%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Infill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.038\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.03%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.831\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0453\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.25%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.533\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.228\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.16%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.602\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0552\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.31%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.492\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.09\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.06%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.742\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0102\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.06%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.766\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e6.213\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e4.28%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.013\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.9164\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e5.14%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.011\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e3.713\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.56%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.047\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.5263\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.95%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.045\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.07\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.05%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.771\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0097\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.05%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.772\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e3.578\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.46%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.051\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.5595\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.14%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.04\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.015\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.892\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0013\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.915\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e2.703\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e1.86%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.086\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.2165\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e1.21%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.183\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.015\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.892\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0015\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.908\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eResidual Error\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e16\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e12.89\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e8.87%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e1.7859\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e10.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eTotal\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e145.24\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e17.8387\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe results show that the presence of graphene and the increase in the fill percentage significantly contribute to the increase in Yield Strength. On the other hand, the variation in the printing angle, as observed in the literature, considerably reduces this resistance. Several parameters were found to be significant, with p-values \u0026lt; 0.05, with the greatest contribution from the effects of graphene and infill density, respectively.\u003c/p\u003e\n\u003cp\u003eFinally, Figure 5 presents the residual plots in terms of means and S/N ratio, assessing the adequacy of the model fit to the data. In both cases, the Normal Probability Plot shows that the residuals approximately follow a normal distribution, with most of the points aligned along a straight line, indicating the absence of significant deviations or outliers. The Versus Fits plot reveals a random distribution of residuals around the central line, without visible patterns, suggesting no heteroscedasticity or systematic error in the model. The residual histogram presents an approximately symmetric distribution centered around zero, reinforcing the hypothesis of normality. The Versus Order plot indicates that the residuals are independent, with no trends or sequential patterns, supporting the absence of temporal correlation. These results indicate the model\u0026apos;s adequacy, allowing its use to interpret the data and optimize the analyzed parameters, based on valid assumptions of normality, independence, and absence of patterns in the residuals.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e3.1.2 Fracture Strength\u003c/strong\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 6 presents the values obtained from the statistical analysis of the means and the S/N ratio for Fracture Strength, considering the \u0026quot;bigger is better\u0026quot; model. The R\u0026sup2; coefficients were 93.78% and 93.93%, respectively, indicating a high fit of the model to the data. Figure 6 shows the main effect plots for the means (a) and the S/N ratios (b). To reinforce the analyses, the ANOVA is summarized in Table 7.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 6. Order of influence of fracture strength.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 57px;\"\u003e\n \u003cp\u003eLevel\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 122px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 113px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 66px;\"\u003e\n \u003cp\u003e23.66\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.43\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e23.72\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e24.59\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.78\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e24.80\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.84\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e26.40\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e28.42\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 66px;\"\u003e\n \u003cp\u003e25.49\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e28.10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e25.43\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e28.08\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e24.56\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e24.35\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.69\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e22.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e27.10\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eDelta\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 66px;\"\u003e\n \u003cp\u003e1.84\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.68\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e1.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.63\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.04\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.03\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e3.65\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e1.32\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eRank\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 122px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003e5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 112px;\"\u003e\n \u003cp\u003e4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 113px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u003c/p\u003e\n\u003cp\u003eTable 7. ANOVA for fracture strength.\u0026nbsp;\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"643\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 172px;\"\u003e\n \u003cp\u003eSource\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"2\" style=\"width: 36px;\"\u003e\n \u003cp\u003eDF\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 218px;\"\u003e\n \u003cp\u003eAnalysis of Variance for Means\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 217px;\"\u003e\n \u003cp\u003eAnalysis of Variance for S/N ratios\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e27.011\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e13.60%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e3.657\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e13.74%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e23.461\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e11.81%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e3.1768\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e11.94%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.011\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.904\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.007\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.03%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.798\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e1.62\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.82%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.162\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.1759\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.66%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.211\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e106.58\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e53.67%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e14.0005\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e52.61%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Infill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.125\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.06%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.689\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0493\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.19%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.5\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.873\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0004\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.953\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.551\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.28%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.405\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0618\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.23%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.451\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e4.961\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.50%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.021\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.9022\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.39%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.009\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e1.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.123\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.2789\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e1.05%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.12\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e1.361\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.69%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.198\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.1422\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.53%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.258\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e5.951\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e3.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.013\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.9997\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.76%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.007\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.451\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.23%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0375\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.14%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.556\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e12.251\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e6.17%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e1.4483\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e5.44%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.002\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e0.18\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.09%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.632\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.0202\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.08%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.665\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eResidual Error\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e16\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e12.064\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e6.07%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e1.6564\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e6.22%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eTotal\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003e198.6\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e26.6142\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eUnlike Yield Strength, Fracture Strength was predominantly influenced by the printing angle, being a significant parameter with more than 50% contribution to the fracture strength. It is also observed that some of its interactions are significant. The addition of graphene and infill density were also significant, but with a lower percentage of contribution compared to the printing angle.\u003c/p\u003e\n\u003cp\u003eThis analysis is similar to that of Mitrović et al. [24] as the increase in the printing angle affects the mechanical behavior due to the presence of shear forces, resulting in higher ductility at the expense of resilience. Therefore, the printing angle leads to a reduction in the fracture strength.\u003c/p\u003e\n\u003cp\u003eFigure 7 shows the residual plots for the means and S/N ratio analyses, assessing the model\u0026rsquo;s adequacy to the data. The Normal Probability Plot confirms the normality of the residuals, with points close to the straight line and no significant outliers. The Versus Fits plot shows the residuals randomly distributed around the central line, with no indications of heteroscedasticity or systematic errors. The Histogram reinforces normality with a symmetric distribution centered at zero, while the Versus Order plot demonstrates the independence of the residuals, without patterns or temporal correlations. These results validate the model for parameter analysis and optimization.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e3.1.3 Young\u0026rsquo;s Modulus\u003c/strong\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 8 presents the values obtained from the statistical analysis of the means and signal-to-noise ratio for the Young\u0026apos;s Modulus, considering the \u0026quot;larger is better\u0026quot; model. The coefficients of determination were 91.87% and 91.32%, respectively, indicating a high fit of the model to the data. Figure 8 displays the main effect plots for the means (a) and for the S/N ratios (b). To further support the analysis, the ANOVA is summarized in Table 9.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 8. Order of influence of Young\u0026rsquo;s Modulus.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 55px;\"\u003e\n \u003cp\u003eLevel\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 120px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 111px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 65px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(MPa)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 65px;\"\u003e\n \u003cp\u003e0.7250\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-2.819\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.7381\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-2.668\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.7619\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e-2.389\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.7731\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-2.265\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.7975\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-1.979\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 65px;\"\u003e\n \u003cp\u003e0.8013\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-1.939\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.7881\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-2.089\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.7644\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e-2.369\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.7531\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-2.492\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.7288\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e-2.778\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eDelta\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 65px;\"\u003e\n \u003cp\u003e0.0763\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.880\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.0500\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.579\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.0025\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e0.020\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.0200\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.227\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.0687\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.799\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eRank\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 120px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003e5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003e4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 111px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u003c/p\u003e\n\u003cp\u003eTable 9. ANOVA for Young\u0026rsquo;s Modulus.\u0026nbsp;\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"648\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 172px;\"\u003e\n \u003cp\u003eSource\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"2\" style=\"width: 36px;\"\u003e\n \u003cp\u003eDF\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 223px;\"\u003e\n \u003cp\u003eAnalysis of Variance for Means\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 217px;\"\u003e\n \u003cp\u003eAnalysis of Variance for S/N ratios\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.047\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e36.31%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e6.194\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e35.88%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.020\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e15.61%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e2.686\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e15.56%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.000\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.04%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.792\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.003\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.02%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.848\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.003\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.50%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.048\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.413\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.39%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.046\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.038\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e29.52%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e5.111\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e29.60%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Infill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.000\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.35%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.433\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.111\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.64%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.277\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.62%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.299\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.099\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.57%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.304\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.000\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.35%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.433\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.038\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.22%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.518\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.003\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.20%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.061\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.527\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.05%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.026\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.000\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.24%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.512\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.046\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.27%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.478\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.000\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.895\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.01%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.917\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.002\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e1.41%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.127\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.313\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e1.81%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.077\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.002\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e1.18%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.159\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.177\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e1.03%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.174\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.62%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.299\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.099\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.57%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.305\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.000\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.35%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.433\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.041\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.24%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.504\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eResidual Error\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e16\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.011\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e8.68%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e1.404\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e8.13%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eTotal\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.128\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e17.264\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eAgain, the order of influence has changed compared to the previous analyses. For the Young\u0026rsquo;s Modulus, it is observed that graphene has the greatest influence, with a contribution of over 35%, followed by the printing angle with approximately 30%. The fill density contributes only 15% to the value of the Young\u0026rsquo;s Modulus. This order occurs due to the ability of graphene to reinforce the polymer matrix, directly influencing the material\u0026apos;s rigidity. Unlike the Yield Strength analysis, where fill density had a greater impact, the Young\u0026rsquo;s Modulus reflects the intrinsic rigidity of the material, while tensile strength is more sensitive to the internal structure (such as fill percentage and layer alignment). However, due to the anisotropy related to the FFF process, the orientation of the layers during printing significantly affects the elastic behavior of the material, potentially altering its ability to resist deformation [28-30].\u003c/p\u003e\n\u003cp\u003eFigure 9 shows that the residuals follow a normal distribution, are independent, and are randomly distributed, with no visible patterns or trends. These results indicate the adequacy of the adjusted model, confirming its validity for analysis and optimization of the parameters.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e3.1.4 Yield Strain\u003c/strong\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 10 presents the values obtained from the statistical analysis of the means and signal-to-noise ratio for Yield Strain, considering the \u0026quot;larger is better\u0026quot; model. The determination coefficients were 59.80% and 59.54%, respectively, indicating a low fit of the model to the data. Figure 10 presents the main effect graphs for the means (a) and for the S/N ratios (b). To reinforce the analysis, the ANOVA is summarized in Table 11, considering only significant parameters.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 10. Order of influence of Yield Strain.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 55px;\"\u003e\n \u003cp\u003eLevel\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 120px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 111px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 65px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 65px;\"\u003e\n \u003cp\u003e4.868\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.638\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.616\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e13.27\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.671\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.37\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e4.649\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.33\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 65px;\"\u003e\n \u003cp\u003e4.529\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.11\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.759\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.53\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.781\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e13.58\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.726\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.47\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e4.748\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e13.51\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eDelta\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 65px;\"\u003e\n \u003cp\u003e0.340\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.63\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.121\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.23\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.164\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e0.31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e0.055\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.099\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.19\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eRank\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 120px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 114px;\"\u003e\n \u003cp\u003e5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 111px;\"\u003e\n \u003cp\u003e4\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u003c/p\u003e\n\u003cp\u003eTable 11. ANOVA for Yield Strain.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"648\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 172px;\"\u003e\n \u003cp\u003eSource\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"2\" style=\"width: 36px;\"\u003e\n \u003cp\u003eDF\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 223px;\"\u003e\n \u003cp\u003eAnalysis of Variance for Means\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 217px;\"\u003e\n \u003cp\u003eAnalysis of Variance for S/N ratios\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.924\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e30.19%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.003\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e3.131\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e29.90%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.003\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.116\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e3.80%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.238\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.412\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.94%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.229\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.216\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e7.07%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.114\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.769\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e7.34%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.107\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.024\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.79%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.585\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.088\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.84%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.572\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.078\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.54%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.331\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.282\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.70%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.316\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Infill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.009\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.28%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.742\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.036\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.34%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.717\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.078\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.54%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.331\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.251\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.40%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.343\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.078\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.54%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.331\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.266\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.54%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.33\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.024\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.79%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.585\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.119\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e1.13%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.511\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.116\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e3.80%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.238\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.359\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.43%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.26\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.047\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e1.54%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.447\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.178\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e1.70%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.423\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.03%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.913\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.007\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.07%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.869\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.024\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.79%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.585\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.089\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.85%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.57\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.078\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.54%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.331\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.246\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.35%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.348\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.009\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.28%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.742\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.029\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.28%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.742\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eResidual Error\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e16\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e1.239\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e40.46%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e\u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e4.209\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e40.20%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e\u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eTotal\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e3.062\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e\u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e10.470\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e\u0026nbsp;\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe ANOVA for Yield Strain points to the presence of graphene as the only significant parameter, contributing approximately 30%. Due to the low determination coefficient, a high residual error value is observed. Despite the lower reliability in the data for Yield Strain, the results are consistent with previous analyses supported by the literature, where graphene influences by reducing the amount of amorphous regions and creating greater resistance to shear, increasing stiffness and promoting a reduction in Yield Strain [18].\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe residual analysis once again shows that the residuals behave in a manner consistent with a normal distribution, independence between the values, and no visible patterns or trends (Figure 11). These results confirm that the adjusted model is suitable for the analysis and optimization of the evaluated parameters.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e3.1.5 Rupture Strain\u003c/strong\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 12 presents the values obtained from the statistical analysis of the means and S/N ratio for Rupture Strain, considering the \u0026quot;larger is better\u0026quot; model. The R\u0026sup2; coefficients were 84.47% and 82.80%, respectively, indicating a good fit of the model to the data. Figure 12 presents the main effects plots for the means (a) and S/N ratios (b). To reinforce the analysis, the ANOVA is summarized in Table 13.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 12. Order of influence of Rupture Strain.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 53px;\"\u003e\n \u003cp\u003eLevel\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 110px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 109px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 117px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 115px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 115px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 55px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 54px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 61px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 56px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 58px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 58px;\"\u003e\n \u003cp\u003eMean\u003c/p\u003e\n \u003cp\u003e(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eS/N\u003c/p\u003e\n \u003cp\u003eRatio\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e6.118\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e15.44\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e5.504\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e14.56\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 61px;\"\u003e\n \u003cp\u003e5.121\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e14.05\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 58px;\"\u003e\n \u003cp\u003e5.647\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e14.76\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 58px;\"\u003e\n \u003cp\u003e4.956\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e13.84\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e5.274\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e14.34\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e5.888\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e15.23\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 61px;\"\u003e\n \u003cp\u003e6.272\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e15.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 58px;\"\u003e\n \u003cp\u003e5.746\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e15.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 58px;\"\u003e\n \u003cp\u003e6.436\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e15.94\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003eDelta\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e0.844\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e1.10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 55px;\"\u003e\n \u003cp\u003e0.384\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 54px;\"\u003e\n \u003cp\u003e0.67\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 61px;\"\u003e\n \u003cp\u003e1.151\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 56px;\"\u003e\n \u003cp\u003e1.67\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 58px;\"\u003e\n \u003cp\u003e0.099\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e0.26\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 58px;\"\u003e\n \u003cp\u003e1.480\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e2.10\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 53px;\"\u003e\n \u003cp\u003eRank\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 110px;\"\u003e\n \u003cp\u003e3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 109px;\"\u003e\n \u003cp\u003e4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 117px;\"\u003e\n \u003cp\u003e2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 115px;\"\u003e\n \u003cp\u003e5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" style=\"width: 115px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u003c/p\u003e\n\u003cp\u003eTable 13. ANOVA for Yield Strain.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"648\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd rowspan=\"2\" style=\"width: 172px;\"\u003e\n \u003cp\u003eSource\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd rowspan=\"2\" style=\"width: 36px;\"\u003e\n \u003cp\u003eDF\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 223px;\"\u003e\n \u003cp\u003eAnalysis of Variance for Means\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" style=\"width: 217px;\"\u003e\n \u003cp\u003eAnalysis of Variance for S/N ratios\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003eSeq SS\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003eContribution (%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003eP-Value\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e5.7027\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e9.63%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.006\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e9.679\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e8.37%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.013\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e1.1782\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e1.99%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.171\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e3.612\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e3.12%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.108\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e10.6042\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e17.91%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e22.445\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e19.41%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.0779\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.13%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.718\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.558\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.48%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.512\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003ePrinting Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e17.5294\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e29.60%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e35.393\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e30.61%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Infill Density\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1164\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.20%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.659\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.252\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.22%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.658\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e3.8175\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e6.45%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e6.634\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e5.74%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.035\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e1.6168\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e2.73%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.113\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e3.252\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.81%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.125\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eGraphene*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e2.7018\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e4.56%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.046\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e2.758\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.39%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.156\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Layer Height\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e1.7784\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e3.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.098\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e3.111\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e2.69%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.133\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1626\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.27%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.602\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.492\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.43%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.538\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eInfill Density*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.968\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.001\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.983\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Speed\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.1626\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.27%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.602\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.466\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.40%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.549\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eLayer Height*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e4.0638\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e6.86%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.017\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e6.261\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e5.42%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.039\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eSpeed*Printing Angle\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e0.5088\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e0.86%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.361\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e0.825\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e0.71%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\n \u003cp\u003e0.427\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eResidual Error\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e16\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e9.1951\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e15.53%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e19.882\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e17.20%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 172px;\"\u003e\n \u003cp\u003eTotal\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 36px;\"\u003e\n \u003cp\u003e31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 59px;\"\u003e\n \u003cp\u003e59.2173\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 107px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003ctd style=\"width: 62px;\"\u003e\n \u003cp\u003e115.62\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 99px;\"\u003e\n \u003cp\u003e100.00%\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 57px;\"\u003e\u003cbr\u003e\u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003eSource: Table by Authors\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eRegarding Rupture Strain, the ANOVA shows several significant parameters, with a p-value \u0026lt; 0.05. The contribution of the printing angle stands out, with approximately 30% influence, followed by the layer thickness, where a higher thickness leads to greater plastic deformation. Lastly, graphene contributes again by reducing the deformation effects of the polymer. Some interactions of the printing angle also affect the rupture properties, but with a smaller proportion.\u003c/p\u003e\n\u003cp\u003eFinally, Figure 13 shows that the residuals follow a normal distribution, are independent, and do not present systematic patterns, indicating that the adjusted model is suitable for interpreting the data and optimizing the studied parameters.\u003c/p\u003e"},{"header":"4. Conclusions","content":"\u003cp\u003eThe aim of this study was to investigate the influence of adding 0.1%w graphene on the mechanical behavior of PLA filaments printed by FFF, considering different printing parameters such as infill density, layer height, print speed, and printing angle. The research used the Taguchi L32 experimental design to systematically analyze how these variables impact the mechanical properties of the samples, focusing on yield strength, tensile strength, Young\u0026rsquo;s modulus, and strain at deformation and fracture. The goal was to identify optimal parameter combinations that would optimize the mechanical performance of PLA-graphene composites, aiming for applications in industrial and advanced contexts requiring high-performance materials.\u003c/p\u003e \u003cp\u003eThe addition of graphene to PLA demonstrated significant improvements in the mechanical properties of the printed parts, especially in tensile strength and Young\u0026rsquo;s modulus. The best results in this aspect were achieved with printing parameters of 30% infill density, 0.2 mm layer height, 150 mm/s print speed, and a 0\u0026deg; printing angle. Compared to pure PLA, the PLA with graphene exhibited average increases of 9.88% in tensile strength, 10.31% in Young\u0026rsquo;s modulus, but also a reduction in ductility, reflecting the effect of graphene as a stress concentrator.\u003c/p\u003e \u003cp\u003eThe ANOVA highlighted that graphene and infill density were the most influential factors for most of the properties analyzed, while the printing angle had a significant impact on ductility. In several analyses, print speed had little influence, suggesting the possibility of working with higher values for this parameter to achieve greater productivity. The residual plots validated the adequacy of the statistical model, ensuring the reliability of the data and inferences made.\u003c/p\u003e \u003cp\u003eFor Yield Strength, the most relevant factors were graphene (31.56%), infill density (27.42%), and printing angle (16.75%). The best performance was observed in the sample with graphene, layer height of 0.2 mm, 30% infill, and a 0\u0026deg; angle, achieving a yield strength of 29.7 MPa, representing almost a 10% increase compared to pure PLA. For Young\u0026rsquo;s modulus, graphene contributed 36.31%, followed by printing angle (29.52%) and infill density (15.61%). The highest value obtained was 0.88 GPa, indicating a significant improvement in the material\u0026rsquo;s rigidity.\u003c/p\u003e \u003cp\u003eRegarding strain at fracture, the printing angle had the greatest influence (29.60%), followed by layer height (17.91%) and graphene (9.63%). It was observed that graphene reduced ductility by about 5%, while 45\u0026deg; printing angles promoted greater deformation due to the combination of shear and partial alignment of the layers. Fracture stress was also largely influenced by the printing angle (53.67%), followed by graphene (13.60%) and infill density (11.81%). For deformation at yield strength, graphene was the most significant factor, contributing 30%, while the other parameters had less than 10% influence.\u003c/p\u003e \u003cp\u003eThe results indicate that PLA with graphene is promising for industrial applications requiring higher strength and rigidity, such as functional components and structures subjected to moderate stresses. However, balancing rigidity and ductility is essential to meet different demands, especially in impact-prone applications. Additionally, the application of the Taguchi method was effective in optimizing parameters in 3D printing, enabling cost reduction and process quality improvement.\u003c/p\u003e \u003cp\u003eFor future work, it is recommended to investigate the impact of higher graphene concentrations, as well as explore the interaction of the material with other additives or fillers. Additional properties such as electrical and thermal conductivity could be analyzed to expand the potential for use in electronic devices and sensors. Finally, an evaluation of the sustainability of PLA-graphene, considering its life cycle, could reinforce its viability in the context of the circular economy and sustainable industry.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003eThis manuscript is original and has not been submitted for publication elsewhere.\u003c/p\u003e \u003cp\u003eThis study did not receive specific grants from public, commercial, or not-for-profit funding agencies.\u003c/p\u003e \u003cp\u003eThe manuscript has no associated data from any data repository.\u003c/p\u003e \u003cp\u003eEach author contributed to the research presented in this manuscript, approved the contents, and agreed to comply with the ethical standards.\u003c/p\u003e \u003cp\u003eThe authors declare that they have no competing financial interests or personal relationships that could have influenced this study.\u003c/p\u003e\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eE.P. and C.L. were responsible for conceptualizing the study and drafting the initial sections of the manuscript. T.B. contributed to the development of the discussion and conclusion sections. B.N. and L.S. designed and carried out the experimental procedures, ensuring accurate data collection. C.K. performed statistical analyses and interpreted the experimental results. All authors collaboratively reviewed and revised the manuscript for intellectual content, ensuring its final version met the publication standards.\u003c/p\u003e\u003ch2\u003eAcknowledgement\u003c/h2\u003e\u003cp\u003eThis study was supported by the Federal Institute of Education, Science and Technology of Rio Grande do Sul (IFRS). The authors would like to thank F3D for the donation of filaments, the Digital Innovation and Fabrication Laboratory of the School of Engineering at UFRGS for the development of test specimens, and the FINEP INFRAEE18 / PROPESQ UFRGS Project for the financial support to the laboratory.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003e\u0026Ouml;zdemir, U., \u0026Ouml;zbay, B., \u0026Ouml;zbay, I., \u0026amp; Veli, S. (2014). \u0026ldquo;Application of Taguchi L32 orthogonal array design to optimize copper biosorption by using Spaghnum moss.\u0026rdquo;\u0026apos; \u003cem\u003eEcotoxicology and Environmental Safety\u003c/em\u003e, Vol. 107, pp. 229\u0026ndash;235. https://doi.org/10.1016/j.ecoenv.2014.06.018\u003c/li\u003e\n\u003cli\u003eLetcher, T., \u0026amp; Waytashek, M. 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(2021). \u0026ldquo;Extrusion-based 3D printing applications of PLA composites: a review.\u0026rdquo; \u003cem\u003eCoatings\u003c/em\u003e, Vol. 11 No.4, pp. 390. https://doi.org/10.3390/coatings11040390\u003c/li\u003e\n\u003cli\u003eArockiam, A. J., Subramanian, K., Padmanabhan, R. G., Selvaraj, R., Bagal, D. K., \u0026amp; Rajesh, S. (2022). \u0026ldquo;A review on PLA with different fillers used as a filament in 3D printing.\u0026rdquo; \u003cem\u003eMaterials Today: Proceedings\u003c/em\u003e, Vol. 50, pp. 2057-2064. http://dx.doi.org/10.1016/j.matpr.2021.09.413\u003c/li\u003e\n\u003cli\u003eAbas, M., Habib, T., Khan, I., \u0026amp; Noor, S. (2024). \u0026ldquo;Definitive screening design for mechanical properties enhancement in extrusion-based additive manufacturing of carbon fiber-reinforced PLA composite.\u0026rdquo; \u003cem\u003eProgress in Additive Manufacturing\u003c/em\u003e. https://doi.org/10.1007/s40964-024-00610-3\u003c/li\u003e\n\u003cli\u003eAli, M. Y., Rao, G. K. 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(2023). \u0026ldquo;OPTIMISATION OF PROCESS PARAMETERS ON TENSILE STRENGTH OF 3D PRINTED POLYLACTIC ACID (PLA) PARTS: ASTM D638 TYPE \u0026ndash; IV.\u0026rdquo; \u003cem\u003eAfrican Journal of Applied Research\u003c/em\u003e, Vol. 9 No. 2, pp. 104\u0026ndash;123. https://doi.org/10.26437/ajar.31.10.2023.08\u003c/li\u003e\n\u003cli\u003eRasheed, A., Hussain, M., Ullah, S., Ahmad, Z., Kakakhail, H., Riaz, A. A., Khan, I., Ahmad, S., Akram, W., Eldin, S. M., \u0026amp; Khan, I. (2023). \u0026ldquo;Experimental investigation and Taguchi optimization of FDM process parameters for the enhancement of tensile properties of Bi-layered printed PLA-ABS.\u0026rdquo; \u003cem\u003eMaterials Research Express\u003c/em\u003e, Vol. 10 No. 9. https://doi.org/10.1088/2053-1591/acf1e7\u003c/li\u003e\n\u003cli\u003eAita, C. A. G., Goss, I. C., Rosendo, T. S., Tier, M. D., Wiedenh\u0026ouml;ft, A., \u0026amp; Reguly, A. (2020). \u0026ldquo;Shear strength optimization for FSSW AA6060-T5 joints by Taguchi and full factorial design.\u0026rdquo; \u003cem\u003eJournal of Materials Research and Technology\u003c/em\u003e, Vol. 9 No. 6, pp. 16072\u0026ndash;16079. https://doi.org/10.1016/j.jmrt.2020.11.062\u003c/li\u003e\n\u003cli\u003eAl Khawaja, H., Alabdouli, H., Alqaydi, H., Mansour, A., Ahmed, W., \u0026amp; Al Jassmi, H. (2020). \u0026ldquo;Investigating the mechanical properties of 3D printed components.\u0026rdquo; \u003cem\u003e2020 Advances in Science and Engineering Technology International Conferences, ASET 2020\u003c/em\u003e. https://doi.org/10.1109/ASET48392.2020.9118307\u003c/li\u003e\n\u003cli\u003eKhosravani, M. R., Zolfagharian, A., Jennings, M., \u0026amp; Reinicke, T. (2020). \u0026ldquo;Structural performance of 3D-printed composites under various loads and environmental conditions.\u0026rdquo; \u003cem\u003ePolymer Testing\u003c/em\u003e, Vol. 91, pp. 106770. https://doi.org/10.1016/J.POLYMERTESTING.2020.106770\u003c/li\u003e\n\u003cli\u003eRouf, S., Raina, A., Irfan Ul Haq, M., Naveed, N., Jeganmohan, S., \u0026amp; Farzana Kichloo, A. (2022). \u0026ldquo;3D printed parts and mechanical properties: Influencing parameters, sustainability aspects, global market scenario, challenges and applications\u0026rdquo;. \u003cem\u003eAdvanced Industrial and Engineering Polymer Research\u003c/em\u003e, Vol. 5 No. 3, pp. 143\u0026ndash;158. https://doi.org/10.1016/J.AIEPR.2022.02.001\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"PLA, Graphene, Composites, Taguchi Methods, Structural Rigidity","lastPublishedDoi":"10.21203/rs.3.rs-5742211/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5742211/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis study explores the influence of graphene addition on the mechanical behavior of polylactic acid (PLA) filaments fabricated using Fused Filament Fabrication (FFF), emphasizing the effects of graphene reinforcement and key printing parameters. A Taguchi L32 experimental design was utilized to systematically evaluate the impacts of infill density, layer height, print speed, and print angle on mechanical properties, including yield strength, fracture strength, Young\u0026rsquo;s modulus, and deformation at yield and break. Analysis of variance (ANOVA) identified graphene, infill density, and print angle as the most significant factors. Results revealed that the addition of graphene notably enhanced mechanical properties, with yield strength increasing by up to 9.88% (29.7 MPa) and Young\u0026rsquo;s modulus improving by 10.31% (0.88 GPa). However, graphene addition reduced ductility, as evidenced by lower deformation at break compared to pure PLA. Optimal parameter combinations, such as 30% infill density, 0.2 mm layer height, and 0\u0026deg; print angle, yielded the best mechanical performance. This study uniquely demonstrates the potential of combining graphene reinforcement with optimized print parameters to enhance the strength and stiffness of PLA composites. These findings underscore the viability of graphene-reinforced PLA for industrial applications demanding materials with superior mechanical properties while addressing the trade-off between stiffness and ductility in advanced manufacturing.\u003c/p\u003e","manuscriptTitle":"Analyzing the Influence of Graphene and Print Parameters on Pla-graphene Composites Using the Taguchi Method","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-01-09 05:25:40","doi":"10.21203/rs.3.rs-5742211/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"b3ef3eab-93c8-49f3-89a1-1111eb98fd55","owner":[],"postedDate":"January 9th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-02-08T12:08:34+00:00","versionOfRecord":[],"versionCreatedAt":"2025-01-09 05:25:40","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5742211","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5742211","identity":"rs-5742211","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}