Mechanical Behavior of Hot Extruded Aluminum 6082 Chip

Mechanical Behavior of Hot Extruded Aluminum 6082 Chip | 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 Article Mechanical Behavior of Hot Extruded Aluminum 6082 Chip Seif El Din Mahmoud, Ramadan El-Gamasy, Ayman Abd El-Wahab This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3824523/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 16 Mar, 2024 Read the published version in Scientific Reports → Version 1 posted 8 You are reading this latest preprint version Abstract In a bid to address the energy-intensive nature of primaryaluminum production, this study explores the solid-state recyclingof aluminum alloy 6082 chips through direct hot extrusion. Thechips were compacted at room temperature and extruded attemperatures of 350, 425, and 500°C, with reduction ratios of 6, 8.5,and 11. The influence of these extrusion parameters on themechanical behavior of the recycled material was thoroughlyinvestigated to optimize the recycling process. A comprehensiveanalysis of tensile properties, density variations, andmicrostructural changes was conducted. Experimental resultsrevealed a significant impact of varying extrusion parameters onmaterial properties. ANOVA and linear multiple regression analyseswere employed to establish relationships between extrusionconditions and mechanical properties. The findings underscore thepotential for enhanced recycling practices and sustainablemanufacturing. Physical sciences/Materials science Physical sciences/Engineering/Mechanical engineering Aluminum Recycling Aluminum Chips Hot Extrusion Mechanical Behavior Microstructure Solid-State Recycling Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 1. Introduction The production of primary aluminum is a highly energy-intensive process in primary metal production. It demands approximately 10 times more energy than steel production, making it crucial to explore energy-efficient methods for aluminum production [ 1 ]. The global aluminum production in 2010 was 41.2 million tons, with a recycling rate of 20%, expected to increase to 50% by 2030 [ 2 ]. Recycling of aluminum can significantly reduce the amount of energy required for production, especially through the re-melting of aluminum alloy scrap. However, recycling aluminum machining chips, a type of aluminum scrap, is challenging due to their high surface to volume ratio, which intensifies oxidation. Solid-state recycling processes, such as hot extrusion, have emerged as promising alternatives to overcome these challenges and improve the energy balance of aluminum production [ 1 ]. Recycling is a vital strategy to address the environmental impact of waste generation. However, there are concerns that increased recycling efforts may lead to a rebound effect, wherein individuals' increased recycling efforts may result in higher resource consumption [ 3 ]. Efficient recycling methods that minimize material loss and enhance the mechanical properties of recycled aluminum are necessary to mitigate such effects. Among various aluminum scraps, machining chips from semi-finished products are particularly difficult to recycle due to their elongated spiral shape and low apparent density, making handling and transportation inconvenient. Conventional recycling processes are characterized by high energy consumption, operating costs, and material losses, limiting the recycling rate to less than 55% for aluminum scraps [ 4 ]. Thus, the development of more efficient and resource-saving recycling techniques is crucial for increasing the sustainability of aluminum production. Direct conversion of aluminum alloy machining chips into finished or semi-finished products through hot extrusion has shown promise as an energy-efficient solid-state recycling method. In this process, the chips are compacted into billets and extruded using a conventional hot extrusion press. Proper extrusion die design is crucial to breaking the oxide layers on the chips' surfaces, enabling contact between pure metal surfaces and improving mechanical properties. The extrusion parameters, such as the extrusion ratio (R) and temperature, significantly affect the resulting mechanical properties of the chip-based extrudates [ 1 ]. It is essential to optimize the hot extrusion process to achieve high-quality chip-based extrudates comparable to those obtained from extruded cast material. Several research studies have contributed to advancing the understanding of hot extrusion and solid-state recycling of aluminum alloys. A.E. Tekkaya et al. [ 5 ] explored hot profile extrusion of Aluminum alloy AA6060, achieving promising results with a reduction ratio (R) of 34.2. Ryoichi Chiba et al. [ 6 ] investigated solid-state recycling of aluminum alloy AC4CH chips through cold profile extrusion and cold rolling, and their results highlighted the importance of extrusion parameters on the resulting mechanical properties. Additionally, Jian-Yih Wang et al. [ 7 ] studied the solid-state recycling of Magnesium Alloy AZ91D through hot extrusion, further adding to the knowledge of the process. Moreover, S. Kuddus et al. [ 8 ] investigated the physical characteristics of solid-state recycled Aluminum chip AA6061 with silicon carbide reinforcement, using the hot extrusion technique. The study of Haase and Tekkaya [ 1 ] contributed insights into the direct conversion of aluminum alloy machining chips into finished parts through hot extrusion and its mechanical behavior. Furthermore, the impact of die design on the welding quality during solid-state recycling of AA6060 chips by hot extrusion was explored by Güley et al. [ 2 ]. B. Wagdy [ 11 ] proposed an eco-friendly hot extrusion method for recycling aluminum alloy AA2011, validating the findings using Regression analysis (RA) and analysis of variance (ANOVA). Zuo et al. [ 12 ] investigated the impact of extrusion temperature on microstructure and mechanical properties of solid-state recycled AA6063 aluminum alloy, determining the optimal extrusion temperature to be 400°C. Wu et al. [ 13 ] proposed a two-step solid-state recycling method for aluminum alloy chips, combining hot extrusion with equal channel angular pressing (ECAP), effectively refining the microstructure and enhancing mechanical properties. Zhang et al. [ 14 ] investigated the influence of preheating temperature on microstructure and mechanical properties of solid-state recycled AA5083 aluminum alloy, determining the optimal preheating temperature to be 250°C. This paper aims to advance the understanding of the hot extrusion process for recycling chips of aluminum alloy 6082 and investigate its mechanical behavior, building upon previous research findings. The investigation of the mechanical behavior of recycled aluminum alloy 6082 holds significant potential for developing energy-efficient and sustainable recycling processes, which align with environmentally friendly manufacturing practices. After conducting a thorough review of several published papers [ 1 ] [ 2 ] [ 5 – 10 ], it was found that a number of parameters had been studied and correlated with the properties of recycled materials. However, it was also found that the interaction between extrusion temperature and extrusion reduction ratio and its impact on the mechanical behavior of solid-state recycled samples in comparison to conventionally recycled ones have been rarely explored. In light of this gap in the literature, this study has chosen to focus on aluminum alloy 6082 chips and employ direct hot extrusion as the recycling method. The selection of Aluminum 6082 as the alloy for this study was made due to its widespread commercial availability and the diverse range of applications it can be used for. This alloy is commonly used in a variety of industries, such as construction, transportation, and manufacturing. Additionally, it is relatively easy to obtain and thus was deemed a practical choice for this research. Furthermore, Aluminum 6082 has a good combination of properties such as strength, corrosion resistance, weldability and machinability, so it’s a suitable candidate for many engineering applications. The primary emphasis of this research will be on investigating the combined influence of extrusion temperature and ratio, as both parameters play crucial roles in determining the mechanical properties of the recycled aluminum alloy. By examining these aspects simultaneously, this study aims to contribute valuable insights into optimizing the hot extrusion process for efficient and effective recycling of aluminum alloy 6082 chips. 2. Methodology 1.1 Materials The raw material used for chip formation in this study was an Aluminum 6082 hollow stock with inner diameter of 25mm and outer diameter of 50mm. It was purchased from a local supplier, and the chemical composition of the material was found to be as indicated in Table 1 . Table 1 Chemical compositions of the Aluminum alloy to be recycled (parent material) and standard Aluminum alloy. (mass%) Alloy Si Fe Cu Mn Mg Zn 6082* 0.96 0.13 0.07 0.48 0.79 0.01 6082** 0.7–1.3 0–0.5 0–0.1 0.4–1 0.6–1.2 0–0.2 *Chemical composition measured using an optical emission spectrometer (OES) **Standard chemical composition as per to The Aluminum Association registration records [ 16 ] 1.2 Chip formation Tool angles Rake angle 20–30° Clearance angle 6–10° Cutting parameters Depth of cut 0.4–6.4 mm Feed rate 0.15-2.0 mm/rev Speed ≤ 300 m/min According to the ASM "American Society for Metals" Handbook [ 15 ], Aluminum alloy 6082 has a machinability rating of C. This rating suggests using High-speed steel turning tools with tool angles and at cutting parameters indicated in the following table. After utilizing the tool design and cutting parameters mentioned earlier, the aluminum hollow stock underwent turning at a consistent speed and feed rate. This process was carried out at three distinct depths of cut: 0.5 mm, 1 mm, and 1.5 mm, resulting in chips of different lengths and thicknesses. These variations are visually represented in Fig. 1 . Later on, the depth of cut was set at a constant value of 1mm, as it represented the average value. 1.3 Compaction For the compaction process, a die and die container, shown in Fig. 2 (C) , were designed and manufactured for both purposes of compaction and later hot extrusion process. The material selected for the manufacturing of the die and container was high-chrome tool steel. For this study’s purposes, nine billets have been compacted at room temperature; each representing a unique combination of extrusion variable levels. The average weight, diameter, and height of these billets are approximately 125 grams , 38.2 mm , and 46 mm , respectively. Additionally, the dashed lines visible in Fig. 2 (B) represent the radial seams on the exterior, which are indicative of the incremental addition and compaction process used to achieve the final height of the billet. Table 2 – Parametric conditions of each extrusion sample in terms of extrusion reduction ratio and extrusion working temperature. Sample # 1 2 3 4 5 6 8 9 10 Ratio 11 11 8.5 8.5 6 6 11 6 8.5 Temp. (°C) 350 500 350 500 350 500 425 425 425 s 1.4 Extrusion The type of metal formation process selected for the purpose of aluminum chip solid-state recycling was direct hot extrusion; shown in Fig. 3 (A) . As previously stated, it was determined to vary two critical process parameters that significantly impact the final product's quality: the extrusion working temperature and the extrudate cross-sectional reduction ratio. Each parameter was explored at three different points, resulting in a 3x3 matrix of potential combinations (refer to Table 2 ), hence the amount compacted billets. The 6082 aluminum alloy has a melting temperature of 585°C, and the recrystallization temperature of aluminum alloys may vary from 340°C to 400°C, so it was decided that the three points of work for the extrusion temperature parameter will be 350°C, 500°C, and their average value; 425°C. Knowing that as the reduction ratio increases, the area of the die cross-section decreases, leading to an increase in the force required to push the billet through the die. Another constraint to be faced was the direct relationship between the reduction ratio and the extrudate length. Considering these facts, while taking the capacity of the hydraulic press on hand, it was decided that the maximum ratio to work at will be 11, minimum ratio will be 6, and the third point will be their average value which is 8.5. A prevalent issue known as "die swell" was discovered at the tip of the extrudate. This defect arises from the elastic properties of the extruded material, which causes it to return to its original shape and cross-section as it exits the die. Die swell can be triggered by insufficient lubrication or excessive friction between the extrudate's surface and the die opening, resulting in surface irregularities. While die swell is more commonly associated with polymer extrusion, it was also observed during the experiment of this study due to the elevated temperatures, relatively high reduction ratios, and lack of lubrication in the extrusion process. The presence of remnant voids between the material's particles from the compaction process likely contributed to this defect, resulting in a distinct flower-like appearance, as shown in Fig. 4 (B) . Another possible reason to why this phenomenon occurred lack of shear action at extrudate tip at the beginning of the extrusion process. Another common extrusion defect encountered during this study is extrusion piping or funneling, depicted in Fig. 4 (A) . This issue is believed to have occurred due to overshooting the extrusion press ram displacement, neglecting the preset 1-cm safety distance. This oversight led to the extrusion of all the designated material inside the container, leaving behind no dead-metal zone, and posing a risk of damaging both the punch and extrusion die. 2.5 Tensile Samples Making Tensile specimens have been manufactured from the recycled extrudates on a center lathe turning machine according to ASTM E8/E8M [ 14 ]. Figure 5 shows that each extrudate was divided into three sections; A, B and C, yielding three tensile specimens per extrudate. Each specimen was given a code (i.e. 3B), indicating the original extrudate, and the specimens position along the extrudate. The parent material hollow stock has also undergone work to make tensile specimens for testing under the same conditions the recycled specimens went through. 2.6 Testing 2.6.1 Tensile test After performing the test on all the specimens; 0A through 10C, using a universal Testing machine (Lloyd − 300 kN), at a constant crosshead speed 2mm/min, a stress/strain curve is drawn for each specimen using 200 measured points (Tracking load, elongation, stress and percentage Strain). 2.6.2 Density After conducting tensile testing on dog-bone specimens representing various extrusion conditions and sections of the extrudate rod, it was necessary to record the density of the specimens in order to assess variations and correlate them with the parameters being studied. This analysis was performed utilizing an analytical balance density determination kit . Table 3 – Specifications of the metallographic electropolishing and microetching processes. Electropolishing Microetching Standard ASTM E1558-09 (III-14) [ 16 ] ASTM E407-99 (Method 3) [ 15 ] Solution formula Water Ethanol 95% Phosphoric acid 85% HF HCL HNO 3 Water Ratio (Respectively) 25:38:40 2:3:5:190 Voltage 50 VDC - Immersion time 4–6 min 5–15 sec. Working temperature 80°C - 2.6.3 Microstructure Another way to compare between the parent material alloy and the recycled one is to study their microstructural properties; such as grain size and shape, grain boundaries intensity and percentage of voids. In order to conduct such comparison, the specimens had to be studied metallographically. In order to conduct that procedure, the metallographic mounts had to be immersed in electropolishing and/or microetching solutions first. Metallographic electropolishing is a process that uses electrical current to remove surface material and create a highly polished surface. Microetching is a chemical process used to selectively dissolve or remove certain regions of a metal sample, revealing the microstructure. It can be used to reveal specific microstructural features, such as grain boundaries, phases, and defects. The specifications for both processes are shown in Table 3 . 3. Results and Discussion 2.1 Tensile Test 2.1.1 Results Table 4 – Mechanical strengths of each extrudate representing every variable combination. Yield Strength (σ y ) Ultimate Strength (σ u ) Extrusion Temperature 350 104.734 100.392 103.438 169.322 167.43 161.994 113.722 107.118 75.96 166.302 176.292 157.63 118.146 117.636 90.316 165.508 169.478 164.876 425 88.108 91.504 91.496 159.722 159.018 150.692 85.71 90.564 83.65 151.442 154.786 151.364 78.248 93.368 85.918 156.198 155.858 149.636 500 100.038 90.112 86.26 168.704 169.28 160.804 84.232 75.908 82.618 161.696 149.084 155.206 85.752 82.762 87.714 158.124 157.75 159.446 6 8.5 11 6 8.5 11 Reduction Ratio Table 5 – Mechanical strains of each extrudate representing every variable combination. Yield Strain (ε y ) Ultimate Strain (ε u ) Extrusion Temperature 350 0.0749 0.0635 0.0913 0.2574 0.2590 0.2690 0.1093 0.0752 0.0644 0.2781 0.2642 0.2674 0.1144 0.0928 0.0592 0.2932 0.2734 0.2718 425 0.0648 0.0841 0.1064 0.2870 0.3012 0.2975 0.0799 0.0951 0.0790 0.3072 0.3316 0.2836 0.0640 0.0922 0.0809 0.2942 0.2892 0.2891 500 0.1067 0.0701 0.0480 0.2956 0.2252 0.2378 0.0716 0.0481 0.0352 0.2785 0.2602 0.2309 0.0978 0.0517 0.0555 0.2972 0.2198 0.2521 6 8.5 11 6 8.5 11 Reduction Ratio 3.1.2 Analysis of variance (ANOVA) In Fig. 6 , the error bars per each bin on the histogram represent the variation between the mechanical properties (yield and ultimate strengths) measured at zones A, B and C on each extrudate. In Table 4 , each 3x1 group represents the yield strengths (on the left side) & ultimate strengths (on the right side) of zones A, B & C in each extrudate. Based on the information presented in Table 6 , it can be inferred with 95% confidence that the yield strength of the extruded material is notably influenced by the extrusion temperature , but not significantly impacted by the extrusion reduction ratio . However, the interaction effect between extrusion temperature and reduction ratio is significant , indicating that the reduction ratio's impact depends on the temperature . In such case, the combined effect of the two factors is more than the sum of their individual effects. By utilizing the data in Table 4 , and following the same procedure (ANOVA) done in Table 6 , the values of MSR c , MSR r and MSR c turn out to be 3.55 , 15.04 and 0.88 , respectively. These values provide, with 95% confidence, that the ultimate strength of the extruded material is influenced by both the extrusion temperature and reduction ratio , but there appears to be no interaction effect between them . This suggests that the effect of one factor on the dependent variable is not dependent on the other factor, and their impact is consistent across all levels of the other factor. As a result, the two factors are operating independently , and their combined effect on the dependent variable is simply the sum of their individual effects. Table 6 – Analysis of Variance (ANOVA) in two-factor experiment to determine significance of extrusion reduction ratio and extrusion temperature individually and their interaction on the yield strength of the recycled material. 3.1.3 Linear multiple regression analysis Another method to analyze the relationship between strength of the extrudate “dependent variable” and extrusion temperature and reduction ratio “independent variables” is Linear multiple regression analysis. The goal of the analysis is to create a linear equation that can be used to predict the value of the dependent variable based on the values of the independent variables. In linear multiple regression analysis, the relationship between the dependent variable and the independent variables is assumed to be linear. The analysis estimates the coefficients of the linear equation using a set of observed data points, with the goal of minimizing the differences (error) between the predicted values and the actual values of the dependent variable. The linear equation used in multiple regression analysis is often represented as: $${\varvec{\sigma }}_{\mathbf{t}\mathbf{h}}={\varvec{\beta }}_{0}+{\varvec{\beta }}_{1}\mathbf{T}+{\varvec{\beta }}_{2}\mathbf{R}+\varvec{\epsilon }$$ , where: σ th : Theoretical Yield or Ultimate Strength ε: Β 0 : Error term Intercept on the σ axis T : Extrusion Temperature Β 1 : Regression coefficient for T R : Extrusion Ratio Β 2 : Regression coefficient for R In order to validate the data analysis, correlation coefficients (R σ,T and R σ,R ) and coefficient of determination (R 2 ) have to be calculated first. Correlation coefficients measures the strength and direction of the linear relationship between the dependent variable and each of the independent variables, while the coefficient of determination is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables in the regression model. Following the abovementioned formulae, the linear regression equations (plotted in Figs. 8 & 9 ) for theoretical yield and ultimate strengths are: σ y,th = 155.03–0.116T – 1.585R + ε , with R σ,R = -0.32, R σ,T = -0.71, R 2 = 0.609, &: σ u,th = 187.34–0.044T – 1.008R + ε , with R σ,R = -0.35, R σ,T = -0.46, R 2 = 0.335. 3.2 Density Every sample representing different extrusion conditions was evaluated using an analytical balance density determination kit. The outcomes of these evaluations are presented Table 7 . The table displays how the density of each specimen is slightly lower than the parent material, which is reasonable due to the possibility of voids and impurities during the compaction and extrusion processes. Two analytical methods were used to examine each value. The first approach was the ANOVA method, which was also used to investigate the tensile test outcomes. It aimed to determine the importance of each variable separately and its interaction with the variation between each value and that of the parent material. The second method employed was the linear multiple regression analysis, which involved calculating both correlation and determination coefficients (R & R 2 ) to evaluate the strength, direction, and quality of the connection between the extrusion conditions (independent variables) and the density values. The results for each method are shown below: According to the findings presented above, it can be concluded that neither the individual variables nor their interaction have a significant impact on the density value of the extruded material. This is because all MSR values are lower than their corresponding minimum values. Moreover, the correlation and determination coefficients did not approach either + 1 or -1, indicating a weak or nonexistent linear relationship between the extrusion variables and the density values. Table 7 – Density values of each extrudate representing every variable combination. Sample # 0 1 2 3 4 Ratio - 11 11 8.5 8.5 Temp - 350 500 350 500 Pos. A 0B 0C 1A 1B 1C 2A 2B 2C 3A 3B 3C 4A 4B 4C Density 2.693 2.695 2.698 2.674 2.697 2.654 2.658 2.666 2.673 2.658 2.674 2.677 2.651 2.672 2.673 Avg. Density 2.695 2.675 2.666 2.670 2.665 Sample # 5 6 8 9 10 Ratio 6 6 11 6 8.5 Temp 350 500 425 425 425 Pos. 5A 5B 5C 6A 6B 6C 8A 8B 8C 9A 9B 9C 10A 10B 10C Density 2.631 2.657 2.661 2.679 2.661 2.642 2.652 2.677 2.658 2.693 2.668 2.666 2.668 2.670 2.664 Avg. Density 2.650 2.661 2.662 2.676 2.667 3.3 Microstructure In the microstructure analysis phase, as shown in Fig. 10 , it was clearly observed that as both reduction ratio and extrusion temperature increase , the sample’s grain size increases , while the grain boundaries and voids intensity decreases ; giving a visually more similar structure to that of the parent material (Specimen code: 0B). 4. Conclusion This study aimed to determine the optimal operating and forming factors for recycled aluminum material, evaluate the effect of direct hot extrusion on improving the material properties, and identify the optimal conditions for the direct hot extrusion process. The experimental work included selecting the aluminum alloy material, conducting mechanical and metallurgical tests on the original material, extracting the chips using a selected operation, turning the raw material at different depths, compressing the chips into blocks, and then hot extruding the blocks into the desired cross-sectional shapes. The final product's properties were compared with those of the original material. Through investigation, the following conclusions have been made: Microstructural analysis showed that it would be beneficial to increase both extrusion reduction ratio and temperature (within the capabilities of the material and machines used) in order to obtain a product with a more stable and uniform structure. It has been discovered, through ANOVA analysis, increasing both extrusion reduction ratio and temperature would only be beneficial in case the recycled material is to be used in metal-forming applications. If the recycled material is to be used in applications which only require elastic deformation, the main focus should only be on increasing the extrusion temperature, as the yield strength of the recycled material is not significantly impacted by the extrusion reduction ratio. Based on the Linear Multiple Regression analysis, it's clear that the extrusion temperature and reduction ratio, both individually and combined, do not significantly affect the material's extruded density. This is supported by MSR values below minimums and correlation coefficients not nearing + 1 or -1, indicating a weak or absent linear link between extrusion factors and density. Microstructure results show that high extrusion temperature and reduction ratio result in better mechanical properties, while tensile test results and ANOVA show that low extrusion temperature and reduction ratio result in better mechanical properties. Such contradiction can only be explained due to the fact that at high temperatures, the material as undergone a similar process to annealing, which led to decreasing its overall mechanical properties. Overall, the study provides insights into the potential of direct hot extrusion as a method for recycling aluminum chips and identifies the optimal operating conditions for producing high-quality recycled aluminum material. Declarations Author Contribution S.M. wrote the main manuscript. A.A. was a primary supervisor and R.E. was a secondary supervisor. Both A.A. and R.E. reviewed the manuscript. Data availability The datasets used and/or analyzed during the current study available from the corresponding author on reasonable request. 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Cite Share Download PDF Status: Published Journal Publication published 16 Mar, 2024 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 15 Jan, 2024 Reviews received at journal 09 Jan, 2024 Reviewers agreed at journal 05 Jan, 2024 Reviewers invited by journal 05 Jan, 2024 Editor assigned by journal 05 Jan, 2024 Editor invited by journal 05 Jan, 2024 Submission checks completed at journal 05 Jan, 2024 First submitted to journal 30 Dec, 2023 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3824523","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":265704159,"identity":"3ffad99a-b807-486e-a3dc-9fe87bd05b63","order_by":0,"name":"Seif El Din Mahmoud","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABB0lEQVRIie2RsWrDMBCGzxjsDk69Xil1XkEhS6GBvIpLwFoUyFTazV7kJWlXB/oQ7Ru43GpKR3dzlk4eOpqiQuXNS4THQvQNQnfw6e5HABbLP8Tzs6zBe4wGvdisnAdE7LpazMcrESYJPsjkNh2teCgYfkriT5f5B3SKIPQFg+8fgxK0bFa803r/XG2cnSS42LbM2T8aFP3mCu9o/VKLGCYpAasFcydbgwKCkfKIL7XiKL3Ysld+TcqZTo4yiRny0g08PUWnc6EzZSECrBazohZAV5IHWH1t3nbpcWWaZ3mnv3IaFvxwaNVNFOar16ZTx5UBASv7s7+Wjhyl+M2gGDfFYrFYToM/DCdXHpMc0doAAAAASUVORK5CYII=","orcid":"","institution":"Ain Shams University","correspondingAuthor":true,"prefix":"","firstName":"Seif","middleName":"El Din","lastName":"Mahmoud","suffix":""},{"id":265704160,"identity":"59864ee0-834f-42c2-a10c-70c7c052255e","order_by":1,"name":"Ramadan El-Gamasy","email":"","orcid":"","institution":"Ain Shams University","correspondingAuthor":false,"prefix":"","firstName":"Ramadan","middleName":"","lastName":"El-Gamasy","suffix":""},{"id":265704161,"identity":"440c183f-08a8-4b2e-9da2-0b09c129768d","order_by":2,"name":"Ayman Abd El-Wahab","email":"","orcid":"","institution":"Ain Shams University","correspondingAuthor":false,"prefix":"","firstName":"Ayman","middleName":"Abd","lastName":"El-Wahab","suffix":""}],"badges":[],"createdAt":"2023-12-30 16:59:42","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3824523/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3824523/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41598-024-55151-0","type":"published","date":"2024-03-16T15:01:14+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":49333488,"identity":"4cac0d09-f274-442d-a825-0d489e1107a1","added_by":"auto","created_at":"2024-01-08 19:55:19","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":348254,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eAluminum alloy 6082 chips formed via machine turning process at different depths of cut 'a' \u003c/strong\u003e– \u003cstrong\u003e(A) a = 0.5mm, continuous chips; (B) a = 1mm, curled or easily broken chips; (C) a = 1.5mm, very small broken chips.\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/1e03d7f8a5c5d99d409da4c7.png"},{"id":49333086,"identity":"cb1b30cb-405c-49b1-a6d3-cd046eda77c0","added_by":"auto","created_at":"2024-01-08 19:39:19","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":325745,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eCompaction of Aluminum chips – (A) Compacted billed; (B) Average dimensions for the nine billets compacted during this study; (C) Detailed schematic of the designed and manufactured compaction/extrusion die and container\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/819b6cb5a63e88fe37cf20b8.png"},{"id":49331877,"identity":"f5bfb860-dbe6-4456-b154-50e6d9de8423","added_by":"auto","created_at":"2024-01-08 19:23:19","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":239478,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eDirect hot extrusion of compacted aluminum chip billets – (A) Detailed schematic of the extrusion process; (B) High-chrome tool steel (BÖHLER W302) die for circular profile extrusion.\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/00baea03c437eba7066e4f23.png"},{"id":49332744,"identity":"e139df61-3d82-4456-a0c5-dd5666a87925","added_by":"auto","created_at":"2024-01-08 19:31:19","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":256844,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eHot extruded rods “Extrudates” – (A) Extrusion piping defect; (B) Die swell defect; (C) Extrudate rods after being separated from their dead-metal zones and labeled from 1 to 10. Each label represents a specific parametric combination of the extrusion conditions, except for No. 7, which was eliminated due to an experimental mishap.\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/ae92a0bc43179785943fbef2.png"},{"id":49331883,"identity":"c998022c-daea-4a1a-ad76-246dc6feb3d3","added_by":"auto","created_at":"2024-01-08 19:23:19","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":116008,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eTensile samples making – (A) Extrudate divided into three tensile samples and each given a letter; (B) Tensile sample manufactured as per ASTM E8/E8M, section 6.6.1, specimen 3 [14].\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/f0c42a3be0ebee0559b9c44a.png"},{"id":49333392,"identity":"85fc11e6-666c-4a7f-bc9d-20385038b994","added_by":"auto","created_at":"2024-01-08 19:47:19","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":159296,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eHistograms showing yield strength (A) and ultimate strength (B) of each tensile sample representing every combination between the values of extrusion temperature and reduction ratio.\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"6.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/1f232247f68de2a5c81e21be.png"},{"id":49331879,"identity":"94c84b96-f6db-4c05-910f-f0163ea00b10","added_by":"auto","created_at":"2024-01-08 19:23:19","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":177710,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eHistograms showing yield strain (A) and ultimate strain (B) of each tensile sample representing every combination between the values of extrusion temperature and reduction ratio.\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"7.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/77bf1086446c741513d4a194.png"},{"id":49331884,"identity":"f3b3bb81-0f3b-4f8a-b60a-687da1e1ba3c","added_by":"auto","created_at":"2024-01-08 19:23:19","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":98673,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eRegression lines representing theoretical yield strengths plotted against actual measured points and the errors between them (red dashed lines).\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/3976e093a1f5df0a8414bad9.png"},{"id":49332742,"identity":"9020e803-7607-4fa3-82a2-bffa4a7decab","added_by":"auto","created_at":"2024-01-08 19:31:19","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":84928,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eRegression lines representing theoretical ultimate strengths plotted against actual measured points and the errors between them (red dashed lines).\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/74e779cfe57decbfc8f68b80.png"},{"id":49331886,"identity":"a0198a58-91a9-41bc-843d-bd8e90b10836","added_by":"auto","created_at":"2024-01-08 19:23:19","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":559194,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eMicrostructural images of different extruded samples at three magnification levels.\u003c/strong\u003e\u003c/p\u003e","description":"","filename":"10.png","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/400086e2b5ba1b4a79a032be.png"},{"id":52907568,"identity":"4ba0e0b8-9ae6-4112-9420-a2a8a3f2cd19","added_by":"auto","created_at":"2024-03-18 15:13:26","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3087080,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3824523/v1/37afeee6-aae6-469a-ae1b-ff0821ef0e44.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Mechanical Behavior of Hot Extruded Aluminum 6082 Chip","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003eThe production of primary aluminum is a highly energy-intensive process in primary metal production. It demands approximately 10 times more energy than steel production, making it crucial to explore energy-efficient methods for aluminum production [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e]. The global aluminum production in 2010 was 41.2\u0026nbsp;million tons, with a recycling rate of 20%, expected to increase to 50% by 2030 [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. Recycling of aluminum can significantly reduce the amount of energy required for production, especially through the re-melting of aluminum alloy scrap. However, recycling aluminum machining chips, a type of aluminum scrap, is challenging due to their high surface to volume ratio, which intensifies oxidation. Solid-state recycling processes, such as hot extrusion, have emerged as promising alternatives to overcome these challenges and improve the energy balance of aluminum production [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eRecycling is a vital strategy to address the environmental impact of waste generation. However, there are concerns that increased recycling efforts may lead to a rebound effect, wherein individuals' increased recycling efforts may result in higher resource consumption [\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e]. Efficient recycling methods that minimize material loss and enhance the mechanical properties of recycled aluminum are necessary to mitigate such effects. Among various aluminum scraps, machining chips from semi-finished products are particularly difficult to recycle due to their elongated spiral shape and low apparent density, making handling and transportation inconvenient. Conventional recycling processes are characterized by high energy consumption, operating costs, and material losses, limiting the recycling rate to less than 55% for aluminum scraps [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e]. Thus, the development of more efficient and resource-saving recycling techniques is crucial for increasing the sustainability of aluminum production.\u003c/p\u003e \u003cp\u003eDirect conversion of aluminum alloy machining chips into finished or semi-finished products through hot extrusion has shown promise as an energy-efficient solid-state recycling method. In this process, the chips are compacted into billets and extruded using a conventional hot extrusion press. Proper extrusion die design is crucial to breaking the oxide layers on the chips' surfaces, enabling contact between pure metal surfaces and improving mechanical properties. The extrusion parameters, such as the extrusion ratio (R) and temperature, significantly affect the resulting mechanical properties of the chip-based extrudates [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e]. It is essential to optimize the hot extrusion process to achieve high-quality chip-based extrudates comparable to those obtained from extruded cast material.\u003c/p\u003e \u003cp\u003eSeveral research studies have contributed to advancing the understanding of hot extrusion and solid-state recycling of aluminum alloys. \u003cem\u003eA.E. Tekkaya et al.\u003c/em\u003e [\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e] explored hot profile extrusion of Aluminum alloy AA6060, achieving promising results with a reduction ratio (R) of 34.2. \u003cem\u003eRyoichi Chiba et al.\u003c/em\u003e [\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e] investigated solid-state recycling of aluminum alloy AC4CH chips through cold profile extrusion and cold rolling, and their results highlighted the importance of extrusion parameters on the resulting mechanical properties. Additionally, \u003cem\u003eJian-Yih Wang et al.\u003c/em\u003e [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e] studied the solid-state recycling of Magnesium Alloy AZ91D through hot extrusion, further adding to the knowledge of the process. Moreover, \u003cem\u003eS. Kuddus et al.\u003c/em\u003e [\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e] investigated the physical characteristics of solid-state recycled Aluminum chip AA6061 with silicon carbide reinforcement, using the hot extrusion technique. The study of \u003cem\u003eHaase and Tekkaya\u003c/em\u003e [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e] contributed insights into the direct conversion of aluminum alloy machining chips into finished parts through hot extrusion and its mechanical behavior. Furthermore, the impact of die design on the welding quality during solid-state recycling of AA6060 chips by hot extrusion was explored by \u003cem\u003eG\u0026uuml;ley et al.\u003c/em\u003e [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. \u003cem\u003eB. Wagdy\u003c/em\u003e [\u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e] proposed an eco-friendly hot extrusion method for recycling aluminum alloy AA2011, validating the findings using Regression analysis (RA) and analysis of variance (ANOVA). \u003cem\u003eZuo et al.\u003c/em\u003e [\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e] investigated the impact of extrusion temperature on microstructure and mechanical properties of solid-state recycled AA6063 aluminum alloy, determining the optimal extrusion temperature to be 400\u0026deg;C. \u003cem\u003eWu et al.\u003c/em\u003e [\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e] proposed a two-step solid-state recycling method for aluminum alloy chips, combining hot extrusion with equal channel angular pressing (ECAP), effectively refining the microstructure and enhancing mechanical properties. \u003cem\u003eZhang et al.\u003c/em\u003e [\u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e] investigated the influence of preheating temperature on microstructure and mechanical properties of solid-state recycled AA5083 aluminum alloy, determining the optimal preheating temperature to be 250\u0026deg;C.\u003c/p\u003e \u003cp\u003eThis paper aims to advance the understanding of the hot extrusion process for recycling chips of aluminum alloy 6082 and investigate its mechanical behavior, building upon previous research findings. The investigation of the mechanical behavior of recycled aluminum alloy 6082 holds significant potential for developing energy-efficient and sustainable recycling processes, which align with environmentally friendly manufacturing practices.\u003c/p\u003e \u003cp\u003eAfter conducting a thorough review of several published papers [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e] [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e] [\u003cspan additionalcitationids=\"CR6 CR7 CR8 CR9\" citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e], it was found that a number of parameters had been studied and correlated with the properties of recycled materials. However, it was also found that the interaction between \u003cb\u003eextrusion temperature\u003c/b\u003e and \u003cb\u003eextrusion reduction ratio\u003c/b\u003e and its impact on the mechanical behavior of solid-state recycled samples in comparison to conventionally recycled ones have been rarely explored. In light of this gap in the literature, this study has chosen to focus on aluminum alloy 6082 chips and employ direct hot extrusion as the recycling method.\u003c/p\u003e \u003cp\u003eThe selection of \u003cb\u003eAluminum 6082\u003c/b\u003e as the alloy for this study was made due to its widespread commercial availability and the diverse range of applications it can be used for. This alloy is commonly used in a variety of industries, such as construction, transportation, and manufacturing. Additionally, it is relatively easy to obtain and thus was deemed a practical choice for this research. Furthermore, Aluminum 6082 has a good combination of properties such as strength, corrosion resistance, weldability and machinability, so it\u0026rsquo;s a suitable candidate for many engineering applications.\u003c/p\u003e \u003cp\u003eThe primary emphasis of this research will be on investigating the combined influence of extrusion temperature and ratio, as both parameters play crucial roles in determining the mechanical properties of the recycled aluminum alloy. By examining these aspects simultaneously, this study aims to contribute valuable insights into optimizing the hot extrusion process for efficient and effective recycling of aluminum alloy 6082 chips.\u003c/p\u003e"},{"header":"2. Methodology","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003e1.1 Materials\u003c/h2\u003e \u003cp\u003eThe raw material used for chip formation in this study was an Aluminum 6082 hollow stock with inner diameter of 25mm and outer diameter of 50mm. It was purchased from a local supplier, and the chemical composition of the material was found to be as indicated in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab1\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 1\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eChemical compositions of the Aluminum alloy to be recycled (parent material) and standard Aluminum alloy.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003e(mass%)\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eAlloy\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cb\u003eSi\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cb\u003eFe\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cb\u003eCu\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e\u003cb\u003eMn\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e\u003cb\u003eMg\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e\u003cb\u003eZn\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e6082*\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0.96\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.07\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.48\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.79\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.01\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e6082**\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0.7\u0026ndash;1.3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u0026ndash;0.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u0026ndash;0.1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0.4\u0026ndash;1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e0.6\u0026ndash;1.2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0\u0026ndash;0.2\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"7\" nameend=\"c7\" namest=\"c1\"\u003e \u003cp\u003e\u003cem\u003e*Chemical composition measured using an optical emission spectrometer (OES)\u003c/em\u003e\u003c/p\u003e \u003cp\u003e\u003cem\u003e**Standard chemical composition as per to The Aluminum Association registration records\u003c/em\u003e [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e]\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec4\" class=\"Section2\"\u003e \u003ch2\u003e1.2 Chip formation\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"No\" id=\"Taba\" border=\"1\"\u003e \u003ccolgroup cols=\"2\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colspan=\"2\" nameend=\"c2\" namest=\"c1\"\u003e \u003cp\u003e\u003cem\u003eTool angles\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eRake angle\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e20\u0026ndash;30\u0026deg;\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eClearance angle\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e6\u0026ndash;10\u0026deg;\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c2\" namest=\"c1\"\u003e \u003cp\u003e\u003cb\u003eCutting parameters\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eDepth of cut\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0.4\u0026ndash;6.4 mm\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eFeed rate\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0.15-2.0 mm/rev\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eSpeed\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u0026le;\u0026thinsp;300 m/min\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003eAccording to the ASM \"American Society for Metals\" Handbook [\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e], Aluminum alloy 6082 has a machinability rating of C. This rating suggests using High-speed steel turning tools with tool angles and at cutting parameters indicated in the following table.\u003c/p\u003e \u003cp\u003eAfter utilizing the tool design and cutting parameters mentioned earlier, the aluminum hollow stock underwent turning at a consistent speed and feed rate. This process was carried out at three distinct depths of cut: 0.5 mm, 1 mm, and 1.5 mm, resulting in chips of different lengths and thicknesses. These variations are visually represented in \u003cb\u003eFig.\u0026nbsp;1\u003c/b\u003e. Later on, the depth of cut was set at a constant value of 1mm, as it represented the average value.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec5\" class=\"Section2\"\u003e \u003ch2\u003e1.3 Compaction\u003c/h2\u003e \u003cp\u003eFor the compaction process, a die and die container, shown in \u003cb\u003eFig.\u0026nbsp;2\u003c/b\u003e \u003cem\u003e(C)\u003c/em\u003e, were designed and manufactured for both purposes of compaction and later hot extrusion process. The material selected for the manufacturing of the die and container was high-chrome tool steel.\u003c/p\u003e \u003cp\u003eFor this study\u0026rsquo;s purposes, nine billets have been compacted at room temperature; each representing a unique combination of extrusion variable levels. The average weight, diameter, and height of these billets are approximately \u003cb\u003e125 grams\u003c/b\u003e, \u003cb\u003e38.2 mm\u003c/b\u003e, and \u003cb\u003e46 mm\u003c/b\u003e, respectively. Additionally, the dashed lines visible in \u003cb\u003eFig.\u0026nbsp;2\u003c/b\u003e \u003cem\u003e(B)\u003c/em\u003e represent the \u003cb\u003eradial seams\u003c/b\u003e on the exterior, which are indicative of the \u003cb\u003eincremental addition and compaction process\u003c/b\u003e used to achieve the final height of the billet.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab2\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 2\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003e\u0026ndash; Parametric conditions of each extrusion sample in terms of extrusion reduction ratio and extrusion working temperature.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"10\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c8\" colnum=\"8\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c9\" colnum=\"9\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c10\" colnum=\"10\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colspan=\"9\" nameend=\"c10\" namest=\"c2\"\u003e \u003cp\u003e\u003cem\u003eSample #\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cb\u003e1\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cb\u003e2\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cb\u003e3\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e\u003cb\u003e4\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e\u003cb\u003e5\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e\u003cb\u003e6\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e\u003cb\u003e8\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e\u003cb\u003e9\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c10\"\u003e \u003cp\u003e\u003cb\u003e10\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eRatio\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e8.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e8.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c10\"\u003e \u003cp\u003e8.5\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eTemp. (\u0026deg;C)\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e350\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e500\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e350\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e500\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e350\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e500\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e425\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e425\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c10\"\u003e \u003cp\u003e425\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003ctfoot\u003e \u003ctr\u003e\u003ctd colspan=\"10\"\u003es\u003c/td\u003e\u003c/tr\u003e \u003c/tfoot\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec6\" class=\"Section2\"\u003e \u003ch2\u003e1.4 Extrusion\u003c/h2\u003e \u003cp\u003eThe type of metal formation process selected for the purpose of aluminum chip solid-state recycling was direct hot extrusion; shown in \u003cb\u003eFig.\u0026nbsp;3\u003c/b\u003e \u003cem\u003e(A)\u003c/em\u003e. As previously stated, it was determined to vary two critical process parameters that significantly impact the final product's quality: the extrusion working temperature and the extrudate cross-sectional reduction ratio. Each parameter was explored at three different points, resulting in a 3x3 matrix of potential combinations (refer to Table\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e), hence the amount compacted billets.\u003c/p\u003e \u003cp\u003eThe 6082 aluminum alloy has a melting temperature of 585\u0026deg;C, and the recrystallization temperature of aluminum alloys may vary from 340\u0026deg;C to 400\u0026deg;C, so it was decided that the three points of work for the extrusion temperature parameter will be 350\u0026deg;C, 500\u0026deg;C, and their average value; 425\u0026deg;C.\u003c/p\u003e \u003cp\u003eKnowing that as the reduction ratio increases, the area of the die cross-section decreases, leading to an increase in the force required to push the billet through the die. Another constraint to be faced was the direct relationship between the reduction ratio and the extrudate length. Considering these facts, while taking the capacity of the hydraulic press on hand, it was decided that the maximum ratio to work at will be 11, minimum ratio will be 6, and the third point will be their average value which is 8.5.\u003c/p\u003e \u003cp\u003eA prevalent issue known as \"die swell\" was discovered at the tip of the extrudate. This defect arises from the elastic properties of the extruded material, which causes it to return to its original shape and cross-section as it exits the die. Die swell can be triggered by insufficient lubrication or excessive friction between the extrudate's surface and the die opening, resulting in surface irregularities.\u003c/p\u003e \u003cp\u003eWhile die swell is more commonly associated with polymer extrusion, it was also observed during the experiment of this study due to the elevated temperatures, relatively high reduction ratios, and lack of lubrication in the extrusion process. The presence of remnant voids between the material's particles from the compaction process likely contributed to this defect, resulting in a distinct flower-like appearance, as shown in \u003cb\u003eFig.\u0026nbsp;4\u003c/b\u003e \u003cem\u003e(B)\u003c/em\u003e. Another possible reason to why this phenomenon occurred lack of shear action at extrudate tip at the beginning of the extrusion process.\u003c/p\u003e \u003cp\u003eAnother common extrusion defect encountered during this study is extrusion piping or funneling, depicted in \u003cb\u003eFig.\u0026nbsp;4\u003c/b\u003e \u003cem\u003e(A)\u003c/em\u003e. This issue is believed to have occurred due to overshooting the extrusion press ram displacement, neglecting the preset 1-cm safety distance. This oversight led to the extrusion of all the designated material inside the container, leaving behind no dead-metal zone, and posing a risk of damaging both the punch and extrusion die.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec7\" class=\"Section2\"\u003e \u003ch2\u003e2.5 Tensile Samples Making\u003c/h2\u003e \u003cp\u003eTensile specimens have been manufactured from the recycled extrudates on a center lathe turning machine according to ASTM E8/E8M [\u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e]. Figure\u0026nbsp;5 shows that each extrudate was divided into three sections; A, B and C, yielding three tensile specimens per extrudate. Each specimen was given a code (i.e. 3B), indicating the original extrudate, and the specimens position along the extrudate. The parent material hollow stock has also undergone work to make tensile specimens for testing under the same conditions the recycled specimens went through.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec8\" class=\"Section2\"\u003e \u003ch2\u003e2.6 Testing\u003c/h2\u003e \u003cdiv id=\"Sec9\" class=\"Section3\"\u003e \u003ch2\u003e2.6.1 Tensile test\u003c/h2\u003e \u003cp\u003eAfter performing the test on all the specimens; 0A through 10C, using a universal Testing machine (Lloyd \u0026minus;\u0026thinsp;300 kN), at a constant crosshead speed 2mm/min, a stress/strain curve is drawn for each specimen using 200 measured points (Tracking load, elongation, stress and percentage Strain).\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec10\" class=\"Section3\"\u003e \u003ch2\u003e2.6.2 Density\u003c/h2\u003e \u003cp\u003eAfter conducting tensile testing on dog-bone specimens representing various extrusion conditions and sections of the extrudate rod, it was necessary to record the density of the specimens in order to assess variations and correlate them with the parameters being studied. This analysis was performed utilizing an \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003eanalytical balance density determination kit\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab3\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 3\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003e\u0026ndash; Specifications of the metallographic electropolishing and microetching processes.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"3\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cem\u003eElectropolishing\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cem\u003eMicroetching\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eStandard\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eASTM E1558-09 (III-14) [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e]\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eASTM E407-99 (Method 3) [\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eSolution formula\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eWater\u003c/p\u003e \u003cp\u003eEthanol 95%\u003c/p\u003e \u003cp\u003ePhosphoric acid 85%\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eHF\u003c/p\u003e \u003cp\u003eHCL\u003c/p\u003e \u003cp\u003eHNO\u003csub\u003e3\u003c/sub\u003e\u003c/p\u003e \u003cp\u003eWater\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eRatio (Respectively)\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e25:38:40\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e2:3:5:190\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eVoltage\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e50 VDC\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e-\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eImmersion time\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e4\u0026ndash;6 min\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e5\u0026ndash;15 sec.\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eWorking temperature\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e80\u0026deg;C\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e-\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec11\" class=\"Section3\"\u003e \u003ch2\u003e2.6.3 Microstructure\u003c/h2\u003e \u003cp\u003eAnother way to compare between the parent material alloy and the recycled one is to study their microstructural properties; such as grain size and shape, grain boundaries intensity and percentage of voids. In order to conduct such comparison, the specimens had to be studied metallographically. In order to conduct that procedure, the metallographic mounts had to be immersed in \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003eelectropolishing\u003c/span\u003e and/or \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003emicroetching\u003c/span\u003e solutions first. Metallographic electropolishing is a process that uses electrical current to remove surface material and create a highly polished surface. Microetching is a chemical process used to selectively dissolve or remove certain regions of a metal sample, revealing the microstructure. It can be used to reveal specific microstructural features, such as grain boundaries, phases, and defects. The specifications for both processes are shown in Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003c/p\u003e \u003c/div\u003e \u003c/div\u003e"},{"header":"3. Results and Discussion","content":"\u003cdiv id=\"Sec13\" class=\"Section2\"\u003e \u003ch2\u003e2.1 Tensile Test\u003c/h2\u003e \u003cdiv id=\"Sec14\" class=\"Section3\"\u003e \u003ch2\u003e2.1.1 Results\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"No\" id=\"Tabg\" border=\"1\"\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"9\" nameend=\"c9\" namest=\"c1\"\u003e \u003cp\u003e\u003cb\u003eTable\u0026nbsp;4 \u0026ndash; Mechanical strengths of each extrudate representing every variable combination.\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c2\" namest=\"c1\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colspan=\"4\" nameend=\"c6\" namest=\"c3\"\u003e \u003cp\u003e\u003cb\u003eYield Strength (σ\u003c/b\u003e\u003csub\u003e\u003cb\u003ey\u003c/b\u003e\u003c/sub\u003e\u003cb\u003e)\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"3\" nameend=\"c9\" namest=\"c7\"\u003e \u003cp\u003e\u003cb\u003eUltimate Strength (σ\u003c/b\u003e\u003csub\u003e\u003cb\u003eu\u003c/b\u003e\u003c/sub\u003e\u003cb\u003e)\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\" morerows=\"8\" rowspan=\"9\"\u003e \u003cp\u003e\u003cspan type=\"BoldItalicUnderline\" class=\"BoldItalicUnderline\" name=\"Emphasis\"\u003eExtrusion Temperature\u003c/span\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"2\" rowspan=\"3\"\u003e \u003cp\u003e\u003cb\u003e350\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e104.734\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e100.392\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e103.438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e169.322\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e167.43\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e161.994\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e113.722\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e107.118\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e75.96\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e166.302\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e176.292\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e157.63\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e118.146\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e117.636\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e90.316\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e165.508\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e169.478\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e164.876\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"2\" rowspan=\"3\"\u003e \u003cp\u003e\u003cb\u003e425\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e88.108\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e91.504\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e91.496\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e159.722\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e159.018\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e150.692\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e85.71\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e90.564\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e83.65\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e151.442\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e154.786\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e151.364\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e78.248\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e93.368\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e85.918\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e156.198\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e155.858\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e149.636\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"2\" rowspan=\"3\"\u003e \u003cp\u003e\u003cb\u003e500\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e100.038\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e90.112\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e86.26\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e168.704\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e169.28\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e160.804\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e84.232\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e75.908\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e82.618\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e161.696\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e149.084\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e155.206\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e85.752\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e82.762\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e87.714\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e158.124\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e157.75\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e159.446\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"2\" morerows=\"1\" nameend=\"c2\" namest=\"c1\" rowspan=\"2\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cb\u003e6\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cb\u003e8.5\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e\u003cb\u003e11\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e\u003cb\u003e6\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e\u003cb\u003e8.5\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e\u003cb\u003e11\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"7\" nameend=\"c9\" namest=\"c3\"\u003e \u003cp\u003e\u003cspan type=\"BoldItalicUnderline\" class=\"BoldItalicUnderline\" name=\"Emphasis\"\u003eReduction Ratio\u003c/span\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"No\" id=\"Tabh\" border=\"1\"\u003e \u003ctbody\u003e\u003ctr\u003e \u003ctd align=\"left\" colspan=\"9\" nameend=\"c9\" namest=\"c1\"\u003e \u003cp\u003e\u003cb\u003eTable\u0026nbsp;5 \u0026ndash; Mechanical strains of each extrudate representing every variable combination.\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c2\" namest=\"c1\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colspan=\"4\" nameend=\"c6\" namest=\"c3\"\u003e \u003cp\u003e\u003cb\u003eYield Strain (ε\u003c/b\u003e\u003csub\u003e\u003cb\u003ey\u003c/b\u003e\u003c/sub\u003e\u003cb\u003e)\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"3\" nameend=\"c9\" namest=\"c7\"\u003e \u003cp\u003e\u003cb\u003eUltimate Strain (ε\u003c/b\u003e\u003csub\u003e\u003cb\u003eu\u003c/b\u003e\u003c/sub\u003e\u003cb\u003e)\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\" morerows=\"8\" rowspan=\"9\"\u003e \u003cp\u003e\u003cspan type=\"BoldItalicUnderline\" class=\"BoldItalicUnderline\" name=\"Emphasis\"\u003eExtrusion Temperature\u003c/span\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"2\" rowspan=\"3\"\u003e \u003cp\u003e\u003cb\u003e350\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.0749\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0635\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0913\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2574\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2590\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2690\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.1093\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0752\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0644\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2781\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2642\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2674\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.1144\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0928\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0592\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2932\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2734\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2718\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"2\" rowspan=\"3\"\u003e \u003cp\u003e\u003cb\u003e425\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.0648\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0841\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.1064\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2870\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.3012\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2975\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.0799\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0951\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0790\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.3072\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.3316\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2836\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.0640\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0922\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0809\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2942\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2892\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2891\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c2\" morerows=\"2\" rowspan=\"3\"\u003e \u003cp\u003e\u003cb\u003e500\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.1067\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0701\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0480\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2956\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2252\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2378\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.0716\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0481\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0352\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2785\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2602\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2309\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0.0978\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0.0517\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e0.0555\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e0.2972\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.2198\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e0.2521\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"2\" morerows=\"1\" nameend=\"c2\" namest=\"c1\" rowspan=\"2\"\u003e\u0026nbsp;\u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cb\u003e6\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cb\u003e8.5\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e\u003cb\u003e11\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e\u003cb\u003e6\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e\u003cb\u003e8.5\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c9\"\u003e \u003cp\u003e\u003cb\u003e11\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colspan=\"7\" nameend=\"c9\" namest=\"c3\"\u003e \u003cp\u003e\u003cspan type=\"BoldItalicUnderline\" class=\"BoldItalicUnderline\" name=\"Emphasis\"\u003eReduction Ratio\u003c/span\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec15\" class=\"Section3\"\u003e \u003ch2\u003e3.1.2 Analysis of variance (ANOVA)\u003c/h2\u003e \u003cp\u003eIn \u003cb\u003eFig.\u0026nbsp;6\u003c/b\u003e, the error bars per each bin on the histogram represent the variation between the mechanical properties (yield and ultimate strengths) measured at zones A, B and C on each extrudate. In \u003cb\u003eTable\u0026nbsp;4\u003c/b\u003e, each 3x1 group represents the yield strengths (on the left side) \u0026amp; ultimate strengths (on the right side) of zones A, B \u0026amp; C in each extrudate. Based on the information presented in Table\u0026nbsp;\u003cspan refid=\"Tab4\" class=\"InternalRef\"\u003e6\u003c/span\u003e, it can be inferred with 95% confidence that the yield strength of the extruded material is notably \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003einfluenced by the extrusion temperature\u003c/span\u003e, but \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003enot significantly impacted by the extrusion reduction ratio\u003c/span\u003e. However, the interaction effect between extrusion temperature and reduction ratio is \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003esignificant\u003c/span\u003e, indicating that the \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003ereduction ratio's impact depends on the temperature\u003c/span\u003e. In such case, the combined effect of the two factors is more than the sum of their individual effects.\u003c/p\u003e \u003cp\u003eBy utilizing the data in \u003cb\u003eTable\u0026nbsp;4\u003c/b\u003e, and following the same procedure (ANOVA) done in Table\u0026nbsp;\u003cspan refid=\"Tab4\" class=\"InternalRef\"\u003e6\u003c/span\u003e, the values of MSR\u003csub\u003ec\u003c/sub\u003e, MSR\u003csub\u003er\u003c/sub\u003e and MSR\u003csub\u003ec\u003c/sub\u003e turn out to be \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003e3.55\u003c/span\u003e, \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003e15.04\u003c/span\u003e and \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003e0.88\u003c/span\u003e, respectively. These values provide, with 95% confidence, that the ultimate strength of the extruded material is \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003einfluenced by both the extrusion temperature and reduction ratio\u003c/span\u003e, but there appears to be \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003eno interaction effect between them\u003c/span\u003e. This suggests that the effect of one factor on the dependent variable is not dependent on the other factor, and their impact is consistent across all levels of the other factor. As a result, the \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003etwo factors are operating independently\u003c/span\u003e, and their combined effect on the dependent variable is simply the sum of their individual effects.\u003c/p\u003e \n\u003cp\u003e\u003cstrong\u003eTable 6 – Analysis of Variance (ANOVA) in two-factor experiment to determine significance of extrusion reduction ratio and extrusion temperature individually and their interaction on the yield strength of the recycled material.\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cimg 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\"\u003e\u003c/strong\u003e\u003cbr\u003e\u003c/p\u003e\n\u003cdiv id=\"Sec16\" class=\"Section3\"\u003e \u003ch2\u003e3.1.3 Linear multiple regression analysis\u003c/h2\u003e \u003cp\u003eAnother method to analyze the relationship between strength of the extrudate \u0026ldquo;dependent variable\u0026rdquo; and extrusion temperature and reduction ratio \u0026ldquo;independent variables\u0026rdquo; is Linear multiple regression analysis. The goal of the analysis is to create a \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003elinear equation\u003c/span\u003e that can be used to predict the value of the dependent variable based on the values of the independent variables.\u003c/p\u003e \u003cp\u003eIn linear multiple regression analysis, the relationship between the dependent variable and the independent variables is assumed to be linear. The analysis estimates the coefficients of the linear equation using a set of observed data points, with the goal of minimizing the differences (error) between the predicted values and the actual values of the dependent variable.\u003c/p\u003e \u003cp\u003eThe linear equation used in multiple regression analysis is often represented as:\u003cdiv id=\"Equa\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equa\" name=\"EquationSource\"\u003e\n$${\\varvec{\\sigma }}_{\\mathbf{t}\\mathbf{h}}={\\varvec{\\beta }}_{0}+{\\varvec{\\beta }}_{1}\\mathbf{T}+{\\varvec{\\beta }}_{2}\\mathbf{R}+\\varvec{\\epsilon }$$\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003e, where:\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"No\" id=\"Tabi\" border=\"1\"\u003e \u003ccolgroup cols=\"4\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eσ\u003csub\u003eth\u003c/sub\u003e:\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cem\u003eTheoretical Yield\u003c/em\u003e \u003cspan type=\"ItalicUnderline\" class=\"ItalicUnderline\" name=\"Emphasis\"\u003eor\u003c/span\u003e \u003cem\u003eUltimate Strength\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eε:\u003c/p\u003e \u003cp\u003eΒ\u003csub\u003e0\u003c/sub\u003e:\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cem\u003eError term\u003c/em\u003e\u003c/p\u003e \u003cp\u003e\u003cem\u003eIntercept on the σ axis\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eT\u003c/b\u003e:\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cem\u003eExtrusion Temperature\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cb\u003eΒ\u003c/b\u003e\u003csub\u003e\u003cb\u003e1\u003c/b\u003e\u003c/sub\u003e:\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cem\u003eRegression coefficient for T\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eR\u003c/b\u003e:\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cem\u003eExtrusion Ratio\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cb\u003eΒ\u003c/b\u003e\u003csub\u003e\u003cb\u003e2\u003c/b\u003e\u003c/sub\u003e:\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cem\u003eRegression coefficient for R\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003eIn order to validate the data analysis, correlation coefficients \u003cb\u003e(R\u003c/b\u003e\u003csub\u003e\u003cb\u003eσ,T\u003c/b\u003e\u003c/sub\u003e \u003cb\u003eand R\u003c/b\u003e\u003csub\u003e\u003cb\u003eσ,R\u003c/b\u003e\u003c/sub\u003e\u003cb\u003e)\u003c/b\u003e and coefficient of determination \u003cb\u003e(R\u003c/b\u003e\u003csup\u003e\u003cb\u003e2\u003c/b\u003e\u003c/sup\u003e\u003cb\u003e)\u003c/b\u003e have to be calculated first. Correlation coefficients measures the strength and direction of the linear relationship between the dependent variable and each of the independent variables, while the coefficient of determination is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables in the regression model.\u003c/p\u003e \u003cp\u003eFollowing the abovementioned formulae, the linear regression equations (plotted in \u003cb\u003eFigs.\u0026nbsp;8 \u0026amp; 9\u003c/b\u003e) for theoretical yield and ultimate strengths are:\u003c/p\u003e \u003cp\u003e \u003cb\u003eσ\u003c/b\u003e \u003csub\u003e \u003cb\u003ey,th\u003c/b\u003e \u003c/sub\u003e\u0026thinsp;=\u0026thinsp;155.03\u0026ndash;0.116T \u0026ndash; 1.585R\u0026thinsp;+\u0026thinsp;ε\u003c/p\u003e \u003cp\u003e, with \u003cb\u003eR\u003c/b\u003e\u003csub\u003e\u003cb\u003eσ,R\u003c/b\u003e\u003c/sub\u003e = -0.32, \u003cb\u003eR\u003c/b\u003e\u003csub\u003e\u003cb\u003eσ,T\u003c/b\u003e\u003c/sub\u003e = -0.71, \u003cb\u003eR\u003c/b\u003e\u003csup\u003e\u003cb\u003e2\u003c/b\u003e\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.609, \u0026amp;:\u003c/p\u003e \u003cp\u003e \u003cb\u003eσ\u003c/b\u003e \u003csub\u003e \u003cb\u003eu,th\u003c/b\u003e \u003c/sub\u003e\u0026thinsp;=\u0026thinsp;187.34\u0026ndash;0.044T \u0026ndash; 1.008R\u0026thinsp;+\u0026thinsp;ε\u003c/p\u003e \u003cp\u003e, with \u003cb\u003eR\u003c/b\u003e\u003csub\u003e\u003cb\u003eσ,R\u003c/b\u003e\u003c/sub\u003e = -0.35, \u003cb\u003eR\u003c/b\u003e\u003csub\u003e\u003cb\u003eσ,T\u003c/b\u003e\u003c/sub\u003e = -0.46, \u003cb\u003eR\u003c/b\u003e\u003csup\u003e\u003cb\u003e2\u003c/b\u003e\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.335.\u003c/p\u003e \u003c/div\u003e \u003c/div\u003e \u003cdiv id=\"Sec17\" class=\"Section2\"\u003e \u003ch2\u003e3.2 Density\u003c/h2\u003e \u003cp\u003eEvery sample representing different extrusion conditions was evaluated using an analytical balance density determination kit. The outcomes of these evaluations are presented Table\u0026nbsp;\u003cspan refid=\"Tab5\" class=\"InternalRef\"\u003e7\u003c/span\u003e. The table displays how the density of each specimen is slightly lower than the parent material, which is reasonable due to the possibility of voids and impurities during the compaction and extrusion processes.\u003c/p\u003e \u003cp\u003eTwo analytical methods were used to examine each value. The first approach was the ANOVA method, which was also used to investigate the tensile test outcomes. It aimed to determine the importance of each variable separately and its interaction with the variation between each value and that of the parent material. The second method employed was the linear multiple regression analysis, which involved calculating both correlation and determination coefficients (R \u0026amp; R\u003csup\u003e2\u003c/sup\u003e) to evaluate the strength, direction, and quality of the connection between the extrusion conditions (independent variables) and the density values. The results for each method are shown below:\u003c/p\u003e \n\u003cp\u003e\u003cimg src=\"data:image/png;base64,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\"\u003e\u003cbr\u003e\u003c/p\u003e\n \u003cp\u003eAccording to the findings presented above, it can be concluded that neither the individual variables nor their interaction have a significant impact on the density value of the extruded material. This is because all MSR values are lower than their corresponding minimum values. Moreover, the correlation and determination coefficients did not approach either +\u0026thinsp;1 or -1, indicating a \u003cb\u003eweak or nonexistent linear relationship\u003c/b\u003e between the extrusion variables and the density values.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab5\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 7\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003e\u0026ndash; Density values of each extrudate representing every variable combination.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"26\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c8\" colnum=\"8\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c9\" colnum=\"9\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c10\" colnum=\"10\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c11\" colnum=\"11\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c12\" colnum=\"12\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c13\" colnum=\"13\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c14\" colnum=\"14\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c15\" colnum=\"15\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c16\" colnum=\"16\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c17\" colnum=\"17\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c18\" colnum=\"18\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c19\" colnum=\"19\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c20\" colnum=\"20\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c21\" colnum=\"21\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c22\" colnum=\"22\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c23\" colnum=\"23\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c24\" colnum=\"24\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c25\" colnum=\"25\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c26\" colnum=\"26\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eSample #\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e2\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e3\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e4\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eRatio\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e-\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e8.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e8.5\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eTemp\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e-\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e350\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e500\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e350\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e500\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003ePos.\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c3\" namest=\"c2\"\u003e \u003cp\u003e\u003cem\u003eA\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003e\u003cem\u003e0B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e\u003cem\u003e0C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c8\" namest=\"c7\"\u003e \u003cp\u003e\u003cem\u003e1A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c10\" namest=\"c9\"\u003e \u003cp\u003e\u003cem\u003e1B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c11\"\u003e \u003cp\u003e\u003cem\u003e1C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c13\" namest=\"c12\"\u003e \u003cp\u003e\u003cem\u003e2A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c15\" namest=\"c14\"\u003e \u003cp\u003e\u003cem\u003e2B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c16\"\u003e \u003cp\u003e\u003cem\u003e2C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c18\" namest=\"c17\"\u003e \u003cp\u003e\u003cem\u003e3A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c20\" namest=\"c19\"\u003e \u003cp\u003e\u003cem\u003e3B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c21\"\u003e \u003cp\u003e\u003cem\u003e3C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c23\" namest=\"c22\"\u003e \u003cp\u003e\u003cem\u003e4A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c25\" namest=\"c24\"\u003e \u003cp\u003e\u003cem\u003e4B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c26\"\u003e \u003cp\u003e\u003cem\u003e4C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eDensity\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c3\" namest=\"c2\"\u003e \u003cp\u003e2.693\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003e2.695\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e2.698\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c8\" namest=\"c7\"\u003e \u003cp\u003e2.674\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c10\" namest=\"c9\"\u003e \u003cp\u003e2.697\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c11\"\u003e \u003cp\u003e2.654\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c13\" namest=\"c12\"\u003e \u003cp\u003e2.658\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c15\" namest=\"c14\"\u003e \u003cp\u003e2.666\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c16\"\u003e \u003cp\u003e2.673\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c18\" namest=\"c17\"\u003e \u003cp\u003e2.658\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c20\" namest=\"c19\"\u003e \u003cp\u003e2.674\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c21\"\u003e \u003cp\u003e2.677\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c23\" namest=\"c22\"\u003e \u003cp\u003e2.651\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c25\" namest=\"c24\"\u003e \u003cp\u003e2.672\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c26\"\u003e \u003cp\u003e2.673\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eAvg. Density\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e\u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003e2.695\u003c/span\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e2.675\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e2.666\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e2.670\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e2.665\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eSample #\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e\u003cb\u003e5\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e\u003cb\u003e6\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e\u003cb\u003e8\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e\u003cb\u003e9\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e\u003cb\u003e10\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eRatio\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e8.5\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eTemp\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e350\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e500\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e425\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e425\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e425\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003ePos.\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e\u003cem\u003e5A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c4\" namest=\"c3\"\u003e \u003cp\u003e\u003cem\u003e5B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e\u003cem\u003e5C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e\u003cem\u003e6A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c9\" namest=\"c8\"\u003e \u003cp\u003e\u003cem\u003e6B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c11\" namest=\"c10\"\u003e \u003cp\u003e\u003cem\u003e6C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c12\"\u003e \u003cp\u003e\u003cem\u003e8A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c14\" namest=\"c13\"\u003e \u003cp\u003e\u003cem\u003e8B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c16\" namest=\"c15\"\u003e \u003cp\u003e\u003cem\u003e8C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c17\"\u003e \u003cp\u003e\u003cem\u003e9A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c19\" namest=\"c18\"\u003e \u003cp\u003e\u003cem\u003e9B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c21\" namest=\"c20\"\u003e \u003cp\u003e\u003cem\u003e9C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c22\"\u003e \u003cp\u003e\u003cem\u003e10A\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c24\" namest=\"c23\"\u003e \u003cp\u003e\u003cem\u003e10B\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c26\" namest=\"c25\"\u003e \u003cp\u003e\u003cem\u003e10C\u003c/em\u003e\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eDensity\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e2.631\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c4\" namest=\"c3\"\u003e \u003cp\u003e2.657\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e \u003cp\u003e2.661\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e2.679\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c9\" namest=\"c8\"\u003e \u003cp\u003e2.661\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c11\" namest=\"c10\"\u003e \u003cp\u003e2.642\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c12\"\u003e \u003cp\u003e2.652\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c14\" namest=\"c13\"\u003e \u003cp\u003e2.677\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c16\" namest=\"c15\"\u003e \u003cp\u003e2.658\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c17\"\u003e \u003cp\u003e2.693\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c19\" namest=\"c18\"\u003e \u003cp\u003e2.668\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c21\" namest=\"c20\"\u003e \u003cp\u003e2.666\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c22\"\u003e \u003cp\u003e2.668\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c24\" namest=\"c23\"\u003e \u003cp\u003e2.670\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c26\" namest=\"c25\"\u003e \u003cp\u003e2.664\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003e\u003cb\u003eAvg. Density\u003c/b\u003e\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c6\" namest=\"c2\"\u003e \u003cp\u003e2.650\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c11\" namest=\"c7\"\u003e \u003cp\u003e2.661\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c16\" namest=\"c12\"\u003e \u003cp\u003e2.662\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c21\" namest=\"c17\"\u003e \u003cp\u003e2.676\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"5\" nameend=\"c26\" namest=\"c22\"\u003e \u003cp\u003e2.667\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec18\" class=\"Section2\"\u003e \u003ch2\u003e3.3 Microstructure\u003c/h2\u003e \u003cp\u003eIn the microstructure analysis phase, as shown in \u003cb\u003eFig.\u0026nbsp;10\u003c/b\u003e, it was clearly observed that as both reduction ratio and extrusion temperature \u003cspan type=\"BoldUnderline\" class=\"BoldUnderline\" name=\"Emphasis\"\u003eincrease\u003c/span\u003e, the sample\u0026rsquo;s grain size \u003cspan type=\"BoldUnderline\" class=\"BoldUnderline\" name=\"Emphasis\"\u003eincreases\u003c/span\u003e, while the grain boundaries and voids intensity \u003cspan type=\"BoldUnderline\" class=\"BoldUnderline\" name=\"Emphasis\"\u003edecreases\u003c/span\u003e; giving a visually more similar structure to that of the parent material \u003cem\u003e(Specimen code: 0B).\u003c/em\u003e\u003c/p\u003e "},{"header":"4. Conclusion","content":"\u003cp\u003eThis study aimed to determine the optimal operating and forming factors for recycled aluminum material, evaluate the effect of direct hot extrusion on improving the material properties, and identify the optimal conditions for the direct hot extrusion process. The experimental work included selecting the aluminum alloy material, conducting mechanical and metallurgical tests on the original material, extracting the chips using a selected operation, turning the raw material at different depths, compressing the chips into blocks, and then hot extruding the blocks into the desired cross-sectional shapes. The final product's properties were compared with those of the original material. Through investigation, the following conclusions have been made:\u003c/p\u003e \u003cp\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003eMicrostructural analysis showed that it would be beneficial to increase both extrusion reduction ratio and temperature (within the capabilities of the material and machines used) in order to obtain a product with a more stable and uniform structure.\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eIt has been discovered, through ANOVA analysis, increasing both extrusion reduction ratio and temperature would only be beneficial in case the recycled material is to be used in metal-forming applications.\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eIf the recycled material is to be used in applications which only require elastic deformation, the main focus should only be on increasing the extrusion temperature, as the yield strength of the recycled material is not significantly impacted by the extrusion reduction ratio.\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eBased on the Linear Multiple Regression analysis, it's clear that the extrusion temperature and reduction ratio, both individually and combined, do not significantly affect the material's extruded density. This is supported by MSR values below minimums and correlation coefficients not nearing\u0026thinsp;+\u0026thinsp;1 or -1, indicating a weak or absent linear link between extrusion factors and density.\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eMicrostructure results show that high extrusion temperature and reduction ratio result in better mechanical properties, while tensile test results and ANOVA show that low extrusion temperature and reduction ratio result in better mechanical properties. Such contradiction can only be explained due to the fact that at high temperatures, the material as undergone a similar process to annealing, which led to decreasing its overall mechanical properties.\u003c/p\u003e \u003c/li\u003e \u003c/ul\u003e \u003c/p\u003e \u003cp\u003eOverall, the study provides insights into the potential of direct hot extrusion as a method for recycling aluminum chips and identifies the optimal operating conditions for producing high-quality recycled aluminum material.\u003c/p\u003e"},{"header":"Declarations","content":"\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eS.M. wrote the main manuscript. A.A. was a primary supervisor and R.E. was a secondary supervisor. Both A.A. and R.E. reviewed the manuscript.\u003c/p\u003e\u003ch2\u003eData availability\u003c/h2\u003e \u003cp\u003eThe datasets used and/or analyzed during the current study available from the corresponding author on reasonable request.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eHaase, M., Tekkaya, A.E.: Cold extrusion of hot extruded aluminum chips: Journal of Materials Processing Technology 217 (2015) 356\u0026ndash;367\u003c/li\u003e\n\u003cli\u003eG\u0026uuml;ley, V., G\u0026uuml;zel, A., J\u0026auml;ger, A., Ben Khalifa, N., Tekkaya, A.E., Misiolek, W.Z: Effect of die design on the welding quality during solid state recycling of AA6060 chips by hot extrusion; Materials Science \u0026amp; Engineering A 574 (2013) 163\u0026ndash;175\u003c/li\u003e\n\u003cli\u003eBaolong, M., Xiaofei, L., Zhongjun, J., Jiefan, J.: Recycle more, waste more? When recycling efforts increase resource consumption; Journal of Cleaner Production 206 (2019) 870\u0026ndash;877\u003c/li\u003e\n\u003cli\u003eGronostajski, J.Z., Kaczmar, J.W., Marciniak, H., Matuszak, A.: Direct recycling of aluminium chips into extruded products; Journal of Materials Processing Technology 64 (1997) 149\u0026ndash;156\u003c/li\u003e\n\u003cli\u003eTekkaya, A.E., Schikorra, M., Becker, D., Biermann, D., Hammer, N., Pantke, K.: Hot profile extrusion of AA-6060 aluminum chips; Journal of Materials Processing Technology 209 (2009) 3343\u0026ndash;3350\u003c/li\u003e\n\u003cli\u003eChiba, R., Nakamura, T., Kuroda, M.: Solid-state recycling of aluminium alloy swarf through cold profile extrusion and cold rolling; Journal of Materials Processing Technology 211 (2011) 1878\u0026ndash;1887\u003c/li\u003e\n\u003cli\u003eWang, J., Lin, Y., Chang, T., Lee, S.: Recycling the Magnesium Alloy AZ91D in Solid State; Materials Transactions 47 (2006) 1047\u0026ndash;1051\u003c/li\u003e\n\u003cli\u003eKuddus, S., Mustapa, M.S., Ibrahim, M.R., Shamsudin, S., Lajis, M.A., Wagiman, A.: Physical Characteristics of Solid State Recycled Aluminum Chip AA6061 Reinforced with Silicon Carbide (SiC) by using Hot Extrusion Technique; Journal of Physics: Conference Series 1150 (2019) 012004\u003c/li\u003e\n\u003cli\u003eKore, A.S., Nayak, K.C., Date, P.P.: Formability of aluminium sheets manufactured by solid state recycling; Journal of Physics: Conference Series 896 (2017) 012007\u003c/li\u003e\n\u003cli\u003eChino, Y., Hoshika, T., Mabuchi, M.: Mechanical and Corrosion Properties of AZ31 Magnesium Alloy Repeatedly Recycled by Hot Extrusion; Materials Transactions 47 (2006) 1040\u0026ndash;1046\u003c/li\u003e\n\u003cli\u003eWagdy, B., Abd El-Wahab, A.A., El-gamasy, R.: Statistical analysis of solid-state recycled aluminum alloy 2011 chips by hot extrusion; Journal of Engineering Science and Military Technologies, Vol. 6, Issue 2 (2023) 86-94\u003c/li\u003e\n\u003cli\u003eZuo, X., Chen, X., Hu, J.: Effect of Extrusion Temperature on Microstructure and Mechanical Properties of Solid-State Recycled AA6063 Aluminum Alloy; Materials, 16(16) (2023) 5344 \u003c/li\u003e\n\u003cli\u003eWu, T., Yang, D., Yang, L., Zhang, Y., Lv, Z.: Solid-State Recycling of Aluminum Alloy Chips by Combined Extrusion and Equal Channel Angular Pressing; Journal of Materials Processing Technology, (2022) 111232\u003c/li\u003e\n\u003cli\u003eZhang, J., Xu, Y., Wang, Z., Zhang, L., Xu, M.: Effect of Preheating Temperature on Microstructure and Mechanical Properties of Solid-State Recycled AA5083 Aluminum Alloy. Metals, 11(12) (2021) 1961\u003c/li\u003e\n\u003cli\u003eMachining of Aluminum and Aluminum Alloys; ASM Handbook, Vol. 16 (1989) 761\u0026ndash;804\u003c/li\u003e\n\u003cli\u003eThe Aluminum Association Registration Record Series: Teal Sheets; International Alloy Designations and Chemical Composition Limits for Wrought Aluminum and Wrought Aluminum Alloys (2015)\u003c/li\u003e\n \u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Aluminum Recycling, Aluminum Chips, Hot Extrusion, Mechanical Behavior, Microstructure, Solid-State Recycling","lastPublishedDoi":"10.21203/rs.3.rs-3824523/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3824523/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In a bid to address the energy-intensive nature of primaryaluminum production, this study explores the solid-state recyclingof aluminum alloy 6082 chips through direct hot extrusion. Thechips were compacted at room temperature and extruded attemperatures of 350, 425, and 500°C, with reduction ratios of 6, 8.5,and 11. The influence of these extrusion parameters on themechanical behavior of the recycled material was thoroughlyinvestigated to optimize the recycling process. A comprehensiveanalysis of tensile properties, density variations, andmicrostructural changes was conducted. Experimental resultsrevealed a significant impact of varying extrusion parameters onmaterial properties. ANOVA and linear multiple regression analyseswere employed to establish relationships between extrusionconditions and mechanical properties. The findings underscore thepotential for enhanced recycling practices and sustainablemanufacturing.","manuscriptTitle":"Mechanical Behavior of Hot Extruded Aluminum 6082 Chip","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-01-08 19:23:14","doi":"10.21203/rs.3.rs-3824523/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-01-15T11:05:52+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-01-09T09:45:50+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"b0fe04b2-f98e-492c-ac37-fcbaf31f8bf1","date":"2024-01-05T18:19:09+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-01-05T12:02:08+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-01-05T11:53:53+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2024-01-05T10:17:54+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-01-05T10:14:42+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2023-12-30T16:52:52+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"9a68e1bd-e9a9-48ed-80bd-b312a1655c1e","owner":[],"postedDate":"January 8th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":27993582,"name":"Physical sciences/Materials science"},{"id":27993583,"name":"Physical sciences/Engineering/Mechanical engineering"}],"tags":[],"updatedAt":"2024-03-18T15:09:19+00:00","versionOfRecord":{"articleIdentity":"rs-3824523","link":"https://doi.org/10.1038/s41598-024-55151-0","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2024-03-16 15:01:14","publishedOnDateReadable":"March 16th, 2024"},"versionCreatedAt":"2024-01-08 19:23:14","video":"","vorDoi":"10.1038/s41598-024-55151-0","vorDoiUrl":"https://doi.org/10.1038/s41598-024-55151-0","workflowStages":[]},"version":"v1","identity":"rs-3824523","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3824523","identity":"rs-3824523","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}