Effect of Residual Thermal Stresses on Distortion in Bilayer Ceramic Restorations

Effect of Residual Thermal Stresses on Distortion in Bilayer Ceramic Restorations | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Effect of Residual Thermal Stresses on Distortion in Bilayer Ceramic Restorations Ender AKAN, Berker ALPÖZ, Bahar Merve ÜNAL ÜNLÜ, Bengisu AKÇAOĞLU, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9260866/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 8 You are reading this latest preprint version Abstract Background Thermo-mechanical compatibility between core and veneering ceramics plays a critical role in the performance of bilayer ceramic restorations. Although thermal expansion mismatch (Δα) is commonly used to assess compatibility, its ability to predict distortion behavior remains limited. This study aimed to evaluate the effect of residual thermal stresses on distortion in bilayer ceramic systems and to provide mechanical insight using finite element analysis (FEA). Methods Six bilayer ceramic systems, including four yttria-stabilized zirconia-based systems, one lithium disilicate system, and one alumina-based system, were investigated (n = 10, N = 60). Standardized disc-shaped specimens were fabricated and subjected to two dentin firing cycles followed by a glaze firing. Surface distortion was measured using contact profilometry at four time points (T0–T3). Experimental cooling curves were obtained and used to define thermal boundary conditions in finite element models. Three-dimensional models, including disc and bridge geometries, were analyzed using a coupled temperature–displacement approach to evaluate thermo-mechanical stress development during cooling. Statistical analyses were performed using one-way ANOVA, Wilcoxon signed-rank tests, and Pearson correlation analysis (α = 0.05). Results All systems exhibited significant distortion after thermal processing (p < 0.05), with the highest values observed after the second dentin firing. A significant positive correlation was calculated between thermal expansion mismatch (Δα) and distortion magnitude (p < 0.05); however, distortion was also present even in systems with minimal thermal mismatch. Finite element analysis demonstrated non-uniform stress distribution, with tensile stresses concentrated at the core–veneer interface and the veneering surface. Additional stress concentrations were observed in marginal regions of bridge models. Maximum tensile stresses ranged between approximately 52 and 144 MPa, while residual stresses ranged between approximately 7 and 29 MPa. Conclusions Within the limitations of the present study, distortion in bilayer ceramic systems appears to be associated with residual thermal stress development during thermal processing. Although thermo-mechanical mismatch contributed to this behavior, distortion could not be fully explained by differences in Δα alone. Based on the combined evaluation of experimental measurements and finite element analysis, residual thermal stress development seems to be governed by multiple interacting factors, including thermal gradients and material behavior. From a clinical perspective, even minor distortions may have the potential to affect prosthetic fit. Therefore, residual thermal stresses should be considered, together with thermo-mechanical compatibility, when evaluating bilayer ceramic restorations. Dental ceramics marginal adaptation thermal compatibility distortion firing cycles finite element analysis Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 INTRODUCTION In contemporary restorative dentistry, all-ceramic systems have become the material of choice because of their superior esthetic properties, chemical stability, and biocompatibility [ 1 , 2 ]. Among these systems, bilayer ceramic restorations—comprising a high-strength core material veneered with a more translucent ceramic—are widely used in clinical practice. Despite their favorable esthetic outcomes, the long-term clinical performance of bilayer restorations remains a major concern, primarily because of thermo-mechanical incompatibilities between the core and veneering layers [ 3 – 5 ]. Bilayer ceramic systems are inherently complex structures composed of materials with different thermal and mechanical properties. During fabrication, these restorations undergo multiple firing cycles, during which the veneering ceramic is sintered onto the core at elevated temperatures. Upon cooling, differences in thermal contraction behavior between the core and veneering ceramics may result in the development of residual stresses within the system [ 6 – 9 ]. These stresses are widely considered among the primary factors contributing to distortion, marginal misfit, interfacial debonding, and veneer chipping. Traditionally, thermal compatibility between core and veneering ceramics has been evaluated based on the difference in coefficients of thermal expansion (Δα = α_core − α_veneer). A slightly higher coefficient of thermal expansion (CTE) of the core material has been recommended to induce compressive stresses within the veneering ceramic and thereby improve fracture resistance [ 4 , 6 ]. However, this simplified approach does not fully reflect the complexity of thermo-mechanical interactions occurring during the cooling phase. Increasing evidence suggests that CTE mismatch alone is insufficient to explain the development of residual stresses and distortion behavior in bilayer ceramic systems [ 8 , 10 ]. Residual stresses have been reported even in systems with nominally compatible thermal expansion coefficients, indicating that additional factors—such as viscoelastic behavior of the veneering ceramic, thermal gradients, cooling rate, and processing conditions—play a critical role in stress evolution [ 7 , 11 ]. Thermal gradients generated during cooling further contribute to non-uniform stress distribution within the layered structure. Rapid or uneven cooling may lead to differential contraction between the core and veneering layers, producing tensile stresses, particularly at the veneer surface and at the core–veneer interface [ 7 , 11 ]. These regions are widely recognized as critical sites for crack initiation and propagation. In addition to material-related factors, structural parameters such as restoration geometry and boundary conditions significantly influence stress distribution. Previous studies have demonstrated that geometrical discontinuities and constraints may lead to localized stress concentrations, emphasizing that thermo-mechanical behavior cannot be predicted solely on the basis of material properties [ 12 , 13 ]. Finite element analysis (FEA) has emerged as a powerful tool for investigating thermo-mechanical behavior in layered ceramic systems. By enabling simulation of temperature-dependent material behavior and stress evolution during cooling, FEA provides detailed insight into the spatial distribution and magnitude of residual stresses that cannot be directly measured experimentally [ 12 , 13 ]. Furthermore, repeated firing cycles and thermal history have been shown to influence stress accumulation and distortion behavior, as successive heating and cooling processes may alter material response and lead to progressive stress development [ 9 , 14 ]. Accordingly, the aim of the present study was to evaluate the distortion behavior of different bilayer ceramic systems under repeated firing cycles and to investigate the relationship between thermal expansion mismatch (Δα) and thermo-mechanical distortion using both experimental measurements and finite element analysis. In addition, finite element modeling based on experimentally obtained thermal data was integrated to provide a more comprehensive understanding of stress development mechanisms. The study further aimed to provide clinically relevant insight into how thermo-mechanical distortion may influence prosthetic fit and long-term restoration performance. The null hypotheses of the present study were as follows: (1) there are no significant differences in distortion values among the tested bilayer ceramic systems; (2) there is no correlation between thermal expansion mismatch (Δα) and distortion; (3) distortion does not reach a clinically relevant level affecting prosthetic fit. MATERIALS AND METHODS Study design: This in vitro experimental study evaluated the distortion behavior of bilayer ceramic discs fabricated from six different core–veneer systems following repeated firing cycles. Disc-shaped specimens were used to standardize geometry and eliminate anatomical variability, thereby enabling controlled assessment of thermo-mechanical effects. Sample size calculation and reliability: An a priori power analysis (Cohen’s f = 0.40–0.50) indicated that a sample size of 10 specimens per group would provide a statistical power greater than 80% at a significance level of α = 0.05. All measurements were repeated twice at a 2-week interval to assess measurement consistency. Intra-observer reliability was evaluated using intraclass correlation coefficients (ICC), which demonstrated excellent agreement (ICC > 0.90). Materials: Six core–veneering ceramic systems were investigated, including four yttria-stabilized zirconia (Y-TZP) systems, one lithium disilicate glass-ceramic system, one alumina-based ceramic system ( Table 1 ) . Each core material was combined with its corresponding manufacturer-recommended veneering ceramic. Table 1 Composition of experimental groups Core Material Group Katana (Y-TZP) / Cerabien CZR ( Noritake dental supply Co., Japan ) A IPS e.max ZirCAD (Y-TZP) / Ceram ( Ivoclar Vivadent, Schaan, Liechtenstein ) B ICE Zirkon (Y-TZP) / Ceramic ( Zirkonzahn GmbH, Bruneck, Italy ) C LAVA Zirconia (Y-TZP) / Ceram ( LAVA 3M ESPE, AG, Germany ) D IPS e.max Press / Ceram ( Ivoclar Vivadent, Schaan, Liechtenstein ) E Turkom-Cera / Vita VM7 (Turkom-Ceramic Sdn. Bhd. Malaysia / VITA Zahnfabrik H. Rauter GmbH & Co.KG ) F Thermal expansion and mismatch calculation: The coefficients of thermal expansion (CTE) were obtained from manufacturer data, and thermal mismatch was calculated as: $$\:{\Delta\:}\alpha\:={\alpha\:}_{core}-{\alpha\:}_{veneer}$$ Manufacturer-reported values were used to ensure standardization ( Table 2 ) . Table 2 Coefficients of thermal expansion and thermal mismatch Core Ceramic Veneering Ceramic Manufacturer α (50 500°C) (10 − 6 K − 1 ) α core α veneer Δ α Zirconium Oxide Katana Cerabien CZR Noritake dental supply Co., Japan 10.5 9.1 + 1.4 Zirconium Oxide ICE Zirkon ICE ceramic Zirkonzahn GmbH, Bruneck, Italy 10.0 9.6 + 0.4 Zirconium Oxide White LAVA Lava Ceram LAVA 3M ESPE, AG, Germany 10.0 10.0 0.0 Zirconium Oxide IPS e.max ZirCAD IPS E-max Ceram Ivoclar Vivadent, Schaan, Liechtenstein 10.8 9.8 9.5 + 1 Lithium Disilicate IPS e.max Press IPS E-max Ceram Ivoclar Vivadent, Schaan, Liechtenstein 10.5 9.50 + 1 Aluminum Oxide Turkom- Cera Vita VM7 Turkom-Ceramic (M) Sdn. Bhd. Malaysia / VITA Zahnfabrik H. Rauter GmbH & Co. KG, Germany 6.7 7.1 -0.4 Specimen preparation: In total, specimens were prepared using six different core ceramic materials:Katana, IPS e.max ZirCAD, Zirkonzahn, Lava, IPS e.max Press, Turkom-Cera, representing zirconia- and alumina-based systems from different manufacturers. Zirkonzahn group: Zirconia blocks which are in pre-sintered stage were shaped using a copy-milling technique. The zirconia blanks were milled into cylindrical forms under controlled conditions and then carefully separated from their connectors.(Fig. 1 ) Following this step, the specimens were sintered according to the manufacturer’s recommendations, during which the expected volumetric shrinkage occurred, resulting in fully densified zirconia structures. For the Turkom-Cera group, the alumina core was first prepared by mixing an alumina slurry, shaping and sintering the alumina-based material to obtain a porous framework(Fig. 2 ). This porous structure was then used as a scaffold for subsequent glass infiltration. After sintering, all specimens were sectioned into standardized dimensions using a precision cutting device and subsequently finished to obtain uniform surfaces and geometry. Core discs were fabricated and standardized to a thickness of 0.50 ± 0.05 mm. One surface was polished for measurement, while the opposite surface was prepared for veneering. Reference notches were created to ensure reproducible positioning during profilometric measurements (Fig. 3 ). All specimens were ultrasonically cleaned and subjected to a stress-relief heat treatment prior to baseline measurements. For profilometric assessment, the specimen was adjusted using the system controls so that the stylus tip was positioned at the lower border of the “U”-shaped reference notch on the specimen surface (Fig. 4 ). The stylus load was set at 0.05 mg, and the scanning speed was adjusted to 0.2 mm/s. Veneering porcelain was applied to a uniform thickness of approximately 1.5 mm according to manufacturer recommendations, maintaining a consistent core–veneer thickness ratio across all groups. Firing protocol: All specimens underwent two consecutive dentin firing cycles followed by a glaze firing, in accordance with manufacturer-recommended firing schedules. Furnace calibration was verified prior to all firing procedures to ensure temperature accuracy. Cooling was performed under controlled conditions without forced air cooling to minimize thermal shock and ensure consistent thermal gradients across specimens. Distortion measurement: Surface profiles were obtained using a contact profilometer (XP-2, Ambios Technology Inc.) at four time points: T0: baseline T1: after first dentin firing T2: after second dentin firing T3: after glaze firing The profilometer was calibrated prior to each measurement session according to the manufacturer’s instructions. All measurements were performed by a single calibrated examiner under standardized conditions to minimize measurement bias. Distortion was defined as the change in mid-point vertical displacement relative to baseline. Finite element analysis (FEA) Finite element analysis was performed to evaluate thermo-mechanical stress development in bilayer ceramic systems during cooling and was used in a descriptive manner to better understand stress distribution patterns and support the interpretation of the experimental distortion results. Particular attention was paid to stress concentrations in marginal regions, where localized deformation may contribute to clinically relevant misfit. Three-dimensional models representing the experimental disc geometry were constructed. In addition, anatomically simplified models, including an anterior 3-unit bridge and a posterior 4-unit bridge, were generated to provide clinically relevant insight into stress distribution. The analyses were conducted using ABAQUS 6.6-1 (Dassault Systèmes, France). Material properties, including temperature-dependent mechanical and thermal parameters, were assigned to both core and veneering ceramics. A coupled temperature–displacement analysis was performed to simulate thermo-mechanical behavior during cooling. The total analysis time was set to 600 seconds. No external mechanical loading was applied; stress development resulted solely from thermal contraction. Experimentally obtained cooling curves were converted into equivalent convective heat transfer coefficients and applied to both internal and external surfaces to define thermal boundary conditions. The initial temperature corresponded to the firing temperature at the onset of cooling. The models were discretized using tetrahedral elements. Following simulation, transient and residual thermal stresses were calculated. Particular attention was given to stress distribution at the core–veneer interface, veneering ceramic surface, and abutment regions. Statistical analysis: Statistical analyses were performed using SPSS 15.0 (Statistical Package of Social Sciences SPSS Inc., Chicago, IL, USA) Data normality was assessed using the Shapiro–Wilk test, and homogeneity of variances was evaluated using Levene’s test prior to parametric analysis. Within-group comparisons: Wilcoxon signed-rank test Between-group comparisons: one-way ANOVA with Bonferroni post hoc correction Correlation analysis: Pearson correlation coefficient Effect sizes (η²) were calculated to assess the magnitude of differences among groups. The level of statistical significance was set at p < 0.05. RESULTS Experimental distortion results All bilayer systems exhibited measurable distortion following thermal processing, with statistically significant changes observed at all firing stages (p < 0.05). After the first dentin firing (T1), distortion values increased compared with baseline (T0). The highest distortion values were consistently recorded after the second dentin firing (T2). Following glaze firing (T3), distortion values decreased compared with T2; however, they remained higher than baseline levels. A-F refers to six different core ceramic materials described in Table 1 Significant intergroup differences were identified at all measurement stages (p < 0.05). Based on final distortion values (T3–T0), the Lava Zirconia/Lava Ceram system exhibited the lowest mean distortion, whereas the Turkom-Cera/Vita VM7 system demonstrated the highest distortion. Zirconia-based systems showed intermediate distortion values, with variability observed among different zirconia materials. Effect size analysis (η²) indicated that the magnitude of intergroup differences was substantial. Correlation analysis The correlation analysis was performed on a subset of the data, including only zirconia-based groups; therefore, the sample size was reduced to N = 40. A significant positive correlation was observed between thermal expansion mismatch (Δα) and distortion magnitude (p < 0.01). When absolute mismatch values (|Δα|) were considered, the strength of the correlation increased (Table 3) . Distortion was also observed in systems with minimal or near-zero Δα values. Table 3. Correlation matrix **All correlations were statistically significant (p < 0.01, N = 40). Although the magnitude of distortion was within the micrometer range, the changes were consistent and statistically significant across all experimental conditions Finite element analysis results Finite element analysis demonstrated non-uniform stress distribution across all modeled restorations. Both transient and residual thermal stresses developed during the cooling phase, with peak stress values occurring near the glass transition temperature range. Maximum principal tensile stresses were primarily concentrated at the core–veneer interface and at the external surface of the veneering ceramic. In bridge models, additional stress concentrations were observed at the cervical regions of the abutment units The magnitude of calculated maximum tensile stresses ranged between approximately 52 and 144 MPa, while residual thermal stresses ranged between approximately 7 and 29 MPa. Thermal stress evolution showed that stress intensity increased during cooling and stabilized at lower temperatures, resulting in residual stress accumulation within the bilayer structure. The FEA findings were considered together with the experimental data to provide a more comprehensive understanding of the thermo-mechanical behavior. Integration of experimental and numerical findings The stress distribution patterns obtained from finite element analysis were consistent with the experimentally observed distortion behavior. Systems exhibiting higher thermal mismatch and greater distortion values also demonstrated increased tensile stress concentrations in the numerical models Importantly, finite element analysis revealed that measurable tensile stresses were present even in systems with minimal Δα values, supporting the experimental finding that distortion cannot be explained solely by thermal expansion mismatch. The localization of tensile stresses at the veneering surface and core–veneer interface corresponds to regions most susceptible to deformation and failure, providing a mechanical explanation for the observed distortion patterns. DISCUSSION The present study demonstrated that distortion in bilayer ceramic systems is influenced by thermal expansion mismatch; however, it cannot be explained solely by Δα. This finding reinforces the concept that thermo-mechanical behavior in layered ceramic systems is governed by multiple interacting factors rather than by a single material parameter [ 8 , 10 ]. Residual stresses in bilayer ceramics develop primarily during cooling as a consequence of constrained shrinkage and differential thermal contraction between the core and veneering materials [ 3 , 5 ]. Early experimental studies demonstrated that thermal mismatch between bonded layers can generate measurable deflection and internal stresses, even under controlled conditions [ 4 , 5 ]. Although Δα remains an important indicator of compatibility, it does not fully capture the complexity of stress evolution within the restoration. A key finding of the present study is the presence of measurable distortion even in systems with minimal or near-zero thermal expansion mismatch. This observation is consistent with previous studies indicating that residual stresses may persist despite nominal thermal compatibility [ 8 , 15 ]. This behavior can be explained by the viscoelastic response of veneering ceramics, particularly near the glass transition temperature, where time-dependent deformation enables partial stress relaxation. However, due to non-uniform cooling and constrained geometry, this relaxation remains incomplete, leading to residual stress accumulation [ 7 , 11 ]. Thermal gradients generated during cooling play a critical role in stress development. Rapid or uneven cooling results in differential contraction within the layered structure, producing tensile stresses at the veneer surface and at the core–veneer interface [ 7 , 11 ]. These regions are considered critical zones for crack initiation and propagation and are therefore of particular clinical relevance. Repeated firing cycles further intensified distortion in the present study, indicating cumulative thermo-mechanical effects associated with thermal history. This finding is in agreement with previous studies demonstrating that multiple firing procedures can modify thermal contraction behavior and lead to progressive stress accumulation within ceramic systems [ 9 , 14 ]. Material-related factors also contribute to the observed behavior. Microstructural characteristics such as phase composition, grain size, and material heterogeneity influence both thermal and mechanical responses. In zirconia-based systems, these factors are particularly important because of their impact on phase stability and mechanical performance [ 16 – 18 ]. From a mechanical perspective, distortion in bilayer ceramic systems can be interpreted as bending induced by differential strain between bonded layers, consistent with classical multilayer mechanics [ 4 , 6 ]. Finite element analysis provided further insight into the mechanisms underlying distortion. Previous numerical studies have demonstrated that thermal gradients, material interaction, and restoration geometry significantly influence stress distribution in bilayer ceramic systems [ 21 ]. The present results showed that maximum tensile stresses were concentrated at the core–veneer interface and at the outer surface of the veneering ceramic, consistent with earlier numerical findings [ 12 , 13 ]. These findings are also in agreement with clinical and experimental observations, in which stress concentration at the veneer or interface has been associated with failure modes such as chipping, delamination, and unstable crack propagation in veneered ceramic restorations [ 19 , 20 , 22 ]. Importantly, the observation of tensile stresses in systems with minimal thermal mismatch further supports the conclusion that Δα alone is not a reliable predictor of thermo-mechanical behavior. In line with this, previous studies have emphasized that stress evolution is strongly influenced by thermal history and material interaction rather than by thermal expansion mismatch alone [ 24 ]. The partial reduction in distortion observed after glaze firing suggests that some degree of stress relaxation occurs at elevated temperatures; however, this relaxation remains incomplete, likely due to limitations in viscous flow and non-uniform cooling conditions [ 7 , 11 ]. From a clinical perspective, even micrometer-level distortions may influence the passive fit of restorations and act as stress concentrators under functional loading. In multi-unit restorations, such distortions may contribute to marginal discrepancies and increase susceptibility to long-term complications such as chipping or delamination [ 19 , 20 , 23 ]. This study has some limitations. The use of disc-shaped specimens enabled strict standardization but does not fully replicate the complex geometries of clinical restorations. Intraoral conditions such as cyclic loading, thermal fluctuations, and moisture exposure were not simulated. Thermal expansion mismatch was calculated using manufacturer-reported values, which may vary depending on processing conditions. Additionally, only a single core–veneer thickness ratio was evaluated, although thickness is known to influence stress distribution. CONCLUSION Within the limitations of this in vitro study, all bilayer ceramic systems showed measurable distortion after thermal processing, and the highest values were observed after repeated firing cycles. Although thermo-mechanical mismatch contributed to this behavior, distortion could not be explained by Δα alone. The findings suggest that residual thermal stress development during firing and cooling also played an important role. The first null hypothesis was rejected because significant differences in distortion were found among the tested systems. The second null hypothesis was also rejected, since thermal expansion mismatch was significantly correlated with distortion. The third null hypothesis could not be fully accepted because clinical fit was not measured directly; however, the combined experimental and finite element findings suggest that even small distortions may be relevant to prosthetic fit. Finite element analysis further showed that residual thermal stresses may develop even in systems with minimal thermal mismatch, highlighting the contribution of additional factors such as thermal gradients, viscoelastic behavior, and processing conditions. The stress concentrations observed in marginal and interfacial regions also support the possible clinical relevance of distortion. From a clinical perspective, even micrometer-level distortions may be important in restorations that require high precision or passive fit. Therefore, bilayer ceramic restorations should be assessed within a multifactorial framework that considers not only thermal expansion mismatch, but also residual thermal stress development and firing-related material behavior. Declarations Ethics approval and consent to participate Not applicable. This study did not involve human or animal subjects. Consent for publication Not applicable. Availability of data and materials The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request. Competing interests The authors declare that they have no competing interests. Funding No specific funding was received for this study. Authors’ contributions EA and BA conceived and designed the study. BA and EA performed the experimental procedures and data collection. EA, BA, BMÜÜ, BAK, and ZKK contributed to data interpretation and critically revised the manuscript. All authors read and approved the final manuscript. Acknowledgements Not applicable. References Zhang Y, Sailer I, Lawn BR. Fatigue of dental ceramics. J Dent. 2020;94:103289. Swain MV. Impact of oral environment on dental ceramics. J Mech Behav Biomed Mater. 2021;115:104275. Taskonak B, Mecholsky JJ Jr, Anusavice KJ. Residual stresses in bilayer dental ceramics. Biomaterials. 2005;26:3235–41. DeHoff PH, Barrett AA, Lee RB, Anusavice KJ. Thermal compatibility of dental ceramic systems using cylindrical and spherical geometries. Dent Mater. 2008;24:744–52. Isgrò G, Wang H, Kleverlaan CJ, Feilzer AJ. The effects of thermal mismatch and fabrication procedures on the deflection of layered all-ceramic discs. Dent Mater. 2005;21:649–55. Isgrò G, Kleverlaan CJ, Wang H, Feilzer AJ. Thermal dilatational behaviour of dental ceramics. Biomaterials. 2004;25:2447–53. Tholey MJ, Swain MV. 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Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 09 May, 2026 Reviewers agreed at journal 19 Apr, 2026 Reviewers agreed at journal 19 Apr, 2026 Reviewers invited by journal 17 Apr, 2026 Editor invited by journal 02 Apr, 2026 Editor assigned by journal 02 Apr, 2026 Submission checks completed at journal 02 Apr, 2026 First submitted to journal 29 Mar, 2026 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-9260866","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":627736139,"identity":"44fa3c97-eb47-4b56-9b4f-6016626ab613","order_by":0,"name":"Ender AKAN","email":"","orcid":"","institution":"Izmir Kâtip Çelebi University","correspondingAuthor":false,"prefix":"","firstName":"Ender","middleName":"","lastName":"AKAN","suffix":""},{"id":627736140,"identity":"7b0fc6c7-f3cc-426a-9bea-c23d9a3ab238","order_by":1,"name":"Berker ALPÖZ","email":"data:image/png;base64,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","orcid":"","institution":"Izmir Kâtip Çelebi University","correspondingAuthor":true,"prefix":"","firstName":"Berker","middleName":"","lastName":"ALPÖZ","suffix":""},{"id":627736141,"identity":"16f46915-6827-495f-81bf-ab944fb0ec0e","order_by":2,"name":"Bahar Merve ÜNAL ÜNLÜ","email":"","orcid":"","institution":"Izmir Kâtip Çelebi University","correspondingAuthor":false,"prefix":"","firstName":"Bahar","middleName":"Merve ÜNAL","lastName":"ÜNLÜ","suffix":""},{"id":627736142,"identity":"19bfc0db-eaf7-4017-a1d0-a0b723a67ae0","order_by":3,"name":"Bengisu AKÇAOĞLU","email":"","orcid":"","institution":"Izmir Kâtip Çelebi University","correspondingAuthor":false,"prefix":"","firstName":"Bengisu","middleName":"","lastName":"AKÇAOĞLU","suffix":""},{"id":627736143,"identity":"5b142496-508c-4c39-a1b7-2eaa4e7ec04c","order_by":4,"name":"Zeynep KONAÇOĞLU KIRCI","email":"","orcid":"","institution":"Izmir Kâtip Çelebi University","correspondingAuthor":false,"prefix":"","firstName":"Zeynep","middleName":"KONAÇOĞLU","lastName":"KIRCI","suffix":""}],"badges":[],"createdAt":"2026-03-29 20:23:55","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9260866/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9260866/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":107748542,"identity":"30f2ec84-1c2e-45bc-9e9a-58ca7a165998","added_by":"auto","created_at":"2026-04-24 16:35:53","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":371481,"visible":true,"origin":"","legend":"\u003cp\u003ePreparation of the Zirkonzahn specimen using a copy-milling system.\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-9260866/v1/eb263c281f633aa6f8946a83.png"},{"id":108006024,"identity":"c89e3137-2205-4ac7-a657-541c3ad11654","added_by":"auto","created_at":"2026-04-28 12:52:05","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":457547,"visible":true,"origin":"","legend":"\u003cp\u003eMixing a slurry for the Turkom-Cera system.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-9260866/v1/ff8f8b8129a617c4610d8f61.png"},{"id":107748543,"identity":"158463db-b947-41c8-8b28-61fbcf548ce2","added_by":"auto","created_at":"2026-04-24 16:35:53","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":153518,"visible":true,"origin":"","legend":"\u003cp\u003eReference notches created on the disc specimens to ensure reproducible positioning during profilometric measurements.\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-9260866/v1/1b7e3df1d95fbe54b1058126.png"},{"id":107748544,"identity":"d5ec0d23-1ab9-40b1-a3a7-bd8f5489e5bb","added_by":"auto","created_at":"2026-04-24 16:35:53","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":422846,"visible":true,"origin":"","legend":"\u003cp\u003eDisc-shaped specimen positioned in the profilometer during measurement.\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-9260866/v1/f3d564452217a349513d7e80.png"},{"id":109204129,"identity":"9e5cac18-950c-4043-a7ff-7ea50744583e","added_by":"auto","created_at":"2026-05-13 14:53:27","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":51252,"visible":true,"origin":"","legend":"\u003cp\u003eDistortion values across firing stages (T1, T2, and T3) for all experimental groups. A–F represent the six different core–veneer ceramic systems described in Table 1.\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-9260866/v1/90996ec2cf6eab73e155c9d6.png"},{"id":109206413,"identity":"8434f583-96bf-43dd-9c6a-de68c3b0df75","added_by":"auto","created_at":"2026-05-13 15:12:30","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2727283,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9260866/v1/02d61ee3-e203-4acc-95de-8918d4732d3a.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Effect of Residual Thermal Stresses on Distortion in Bilayer Ceramic Restorations","fulltext":[{"header":"INTRODUCTION","content":"\u003cp\u003eIn contemporary restorative dentistry, all-ceramic systems have become the material of choice because of their superior esthetic properties, chemical stability, and biocompatibility [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e, \u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. Among these systems, bilayer ceramic restorations\u0026mdash;comprising a high-strength core material veneered with a more translucent ceramic\u0026mdash;are widely used in clinical practice. Despite their favorable esthetic outcomes, the long-term clinical performance of bilayer restorations remains a major concern, primarily because of thermo-mechanical incompatibilities between the core and veneering layers [\u003cspan additionalcitationids=\"CR4\" citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eBilayer ceramic systems are inherently complex structures composed of materials with different thermal and mechanical properties. During fabrication, these restorations undergo multiple firing cycles, during which the veneering ceramic is sintered onto the core at elevated temperatures. Upon cooling, differences in thermal contraction behavior between the core and veneering ceramics may result in the development of residual stresses within the system [\u003cspan additionalcitationids=\"CR7 CR8\" citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e]. These stresses are widely considered among the primary factors contributing to distortion, marginal misfit, interfacial debonding, and veneer chipping.\u003c/p\u003e \u003cp\u003eTraditionally, thermal compatibility between core and veneering ceramics has been evaluated based on the difference in coefficients of thermal expansion (Δα\u0026thinsp;=\u0026thinsp;α_core\u0026thinsp;\u0026minus;\u0026thinsp;α_veneer). A slightly higher coefficient of thermal expansion (CTE) of the core material has been recommended to induce compressive stresses within the veneering ceramic and thereby improve fracture resistance [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e, \u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e]. However, this simplified approach does not fully reflect the complexity of thermo-mechanical interactions occurring during the cooling phase.\u003c/p\u003e \u003cp\u003eIncreasing evidence suggests that CTE mismatch alone is insufficient to explain the development of residual stresses and distortion behavior in bilayer ceramic systems [\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e, \u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e]. Residual stresses have been reported even in systems with nominally compatible thermal expansion coefficients, indicating that additional factors\u0026mdash;such as viscoelastic behavior of the veneering ceramic, thermal gradients, cooling rate, and processing conditions\u0026mdash;play a critical role in stress evolution [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThermal gradients generated during cooling further contribute to non-uniform stress distribution within the layered structure. Rapid or uneven cooling may lead to differential contraction between the core and veneering layers, producing tensile stresses, particularly at the veneer surface and at the core\u0026ndash;veneer interface [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e]. These regions are widely recognized as critical sites for crack initiation and propagation.\u003c/p\u003e \u003cp\u003eIn addition to material-related factors, structural parameters such as restoration geometry and boundary conditions significantly influence stress distribution. Previous studies have demonstrated that geometrical discontinuities and constraints may lead to localized stress concentrations, emphasizing that thermo-mechanical behavior cannot be predicted solely on the basis of material properties [\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e, \u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eFinite element analysis (FEA) has emerged as a powerful tool for investigating thermo-mechanical behavior in layered ceramic systems. By enabling simulation of temperature-dependent material behavior and stress evolution during cooling, FEA provides detailed insight into the spatial distribution and magnitude of residual stresses that cannot be directly measured experimentally [\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e, \u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eFurthermore, repeated firing cycles and thermal history have been shown to influence stress accumulation and distortion behavior, as successive heating and cooling processes may alter material response and lead to progressive stress development [\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e, \u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eAccordingly, the aim of the present study was to evaluate the distortion behavior of different bilayer ceramic systems under repeated firing cycles and to investigate the relationship between thermal expansion mismatch (Δα) and thermo-mechanical distortion using both experimental measurements and finite element analysis. In addition, finite element modeling based on experimentally obtained thermal data was integrated to provide a more comprehensive understanding of stress development mechanisms. The study further aimed to provide clinically relevant insight into how thermo-mechanical distortion may influence prosthetic fit and long-term restoration performance.\u003c/p\u003e \u003cp\u003eThe null hypotheses of the present study were as follows:\u003c/p\u003e \u003cp\u003e(1) there are no significant differences in distortion values among the tested bilayer ceramic systems;\u003c/p\u003e \u003cp\u003e(2) there is no correlation between thermal expansion mismatch (Δα) and distortion;\u003c/p\u003e \u003cp\u003e(3) distortion does not reach a clinically relevant level affecting prosthetic fit.\u003c/p\u003e"},{"header":"MATERIALS AND METHODS","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003eStudy design:\u003c/h2\u003e \u003cp\u003eThis in vitro experimental study evaluated the distortion behavior of bilayer ceramic discs fabricated from six different core\u0026ndash;veneer systems following repeated firing cycles. Disc-shaped specimens were used to standardize geometry and eliminate anatomical variability, thereby enabling controlled assessment of thermo-mechanical effects.\u003c/p\u003e \u003c/div\u003e\n\u003ch3\u003eSample size calculation and reliability:\u003c/h3\u003e\n\u003cp\u003eAn a priori power analysis (Cohen\u0026rsquo;s f\u0026thinsp;=\u0026thinsp;0.40\u0026ndash;0.50) indicated that a sample size of 10 specimens per group would provide a statistical power greater than 80% at a significance level of α\u0026thinsp;=\u0026thinsp;0.05.\u003c/p\u003e \u003cp\u003eAll measurements were repeated twice at a 2-week interval to assess measurement consistency. Intra-observer reliability was evaluated using intraclass correlation coefficients (ICC), which demonstrated excellent agreement (ICC\u0026thinsp;\u0026gt;\u0026thinsp;0.90).\u003c/p\u003e\n\u003ch3\u003eMaterials:\u003c/h3\u003e\n\u003cp\u003eSix core\u0026ndash;veneering ceramic systems were investigated, including four yttria-stabilized zirconia (Y-TZP) systems, one lithium disilicate glass-ceramic system, one alumina-based ceramic system \u003cb\u003e(\u003c/b\u003eTable\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e\u003cb\u003e)\u003c/b\u003e. Each core material was combined with its corresponding manufacturer-recommended veneering ceramic.\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\u003eComposition of experimental groups\u003c/p\u003e \u003c/div\u003e \u003c/caption\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\" colname=\"c1\"\u003e \u003cp\u003eCore Material\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eGroup\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eKatana (Y-TZP) / Cerabien CZR ( Noritake dental supply Co., Japan )\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eA\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eIPS e.max ZirCAD (Y-TZP) / Ceram ( Ivoclar Vivadent, Schaan, Liechtenstein )\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eB\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eICE Zirkon (Y-TZP) / Ceramic ( Zirkonzahn GmbH, Bruneck, Italy )\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eC\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eLAVA Zirconia (Y-TZP) / Ceram ( LAVA 3M ESPE, AG, Germany )\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eD\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eIPS e.max Press / Ceram ( Ivoclar Vivadent, Schaan, Liechtenstein )\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eE\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eTurkom-Cera / Vita VM7 (Turkom-Ceramic Sdn. Bhd. Malaysia / VITA Zahnfabrik H. Rauter GmbH \u0026amp; Co.KG )\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eF\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e\n\u003ch3\u003eThermal expansion and mismatch calculation:\u003c/h3\u003e\n\u003cp\u003eThe coefficients of thermal expansion (CTE) were obtained from manufacturer data, and thermal mismatch was calculated as:\u003cdiv id=\"Equa\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equa\" name=\"EquationSource\"\u003e\n$$\\:{\\Delta\\:}\\alpha\\:={\\alpha\\:}_{core}-{\\alpha\\:}_{veneer}$$\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eManufacturer-reported values were used to ensure standardization \u003cb\u003e(\u003c/b\u003eTable\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e\u003cb\u003e)\u003c/b\u003e.\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\u003eCoefficients of thermal expansion and thermal mismatch\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"8\"\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 \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c2\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eCore Ceramic\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eVeneering Ceramic\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eManufacturer\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"4\" nameend=\"c8\" namest=\"c5\"\u003e \u003cp\u003eα (50 500\u0026deg;C) (10\u003csup\u003e\u0026minus;\u0026thinsp;6\u003c/sup\u003e K\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e)\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003ctr\u003e \u003cth align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e\u0026nbsp;\u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003e\u003cb\u003eα\u003c/b\u003e\u003csub\u003e\u003cb\u003ecore\u003c/b\u003e\u003c/sub\u003e\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003e\u003cb\u003eα\u003c/b\u003e\u003csub\u003e\u003cb\u003eveneer\u003c/b\u003e\u003c/sub\u003e\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c8\"\u003e \u003cp\u003e\u003cb\u003eΔ\u003c/b\u003e\u003csub\u003e\u003cb\u003eα\u003c/b\u003e\u003c/sub\u003e\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eZirconium Oxide\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eKatana\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eCerabien CZR\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003eNoritake dental supply Co., Japan\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e10.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e9.1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e+\u0026thinsp;1.4\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eZirconium Oxide\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eICE Zirkon\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eICE ceramic\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003eZirkonzahn GmbH, Bruneck, Italy\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e10.0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e9.6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e+\u0026thinsp;0.4\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eZirconium Oxide\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eWhite LAVA\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eLava Ceram\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003eLAVA 3M ESPE, AG, Germany\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e10.0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e10.0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e0.0\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eZirconium Oxide\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eIPS e.max ZirCAD\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eIPS E-max Ceram\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003eIvoclar Vivadent, Schaan, Liechtenstein\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e10.8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e9.8 9.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e+\u0026thinsp;1\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eLithium\u003c/p\u003e \u003cp\u003eDisilicate\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eIPS e.max Press\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eIPS E-max Ceram\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003eIvoclar Vivadent, Schaan, Liechtenstein\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e10.5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e9.50\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e+\u0026thinsp;1\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eAluminum Oxide\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eTurkom- Cera\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eVita VM7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colspan=\"2\" nameend=\"c5\" namest=\"c4\"\u003e \u003cp\u003eTurkom-Ceramic (M) \u003c/p\u003e \u003cp\u003eSdn. Bhd. Malaysia / VITA Zahnfabrik H. Rauter GmbH \u0026amp; Co. KG, Germany\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003e6.7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003e7.1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c8\"\u003e \u003cp\u003e-0.4\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e\n\u003ch3\u003eSpecimen preparation:\u003c/h3\u003e\n\u003cp\u003eIn total, specimens were prepared using six different core ceramic materials:Katana, IPS e.max ZirCAD, Zirkonzahn, Lava, IPS e.max Press, Turkom-Cera, representing zirconia- and alumina-based systems from different manufacturers.\u003c/p\u003e \u003cp\u003eZirkonzahn group: Zirconia blocks which are in pre-sintered stage were shaped using a copy-milling technique. The zirconia blanks were milled into cylindrical forms under controlled conditions and then carefully separated from their connectors.(Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e1\u003c/span\u003e) Following this step, the specimens were sintered according to the manufacturer\u0026rsquo;s recommendations, during which the expected volumetric shrinkage occurred, resulting in fully densified zirconia structures.\u003c/p\u003e \u003cp\u003eFor the Turkom-Cera group, the alumina core was first prepared by mixing an alumina slurry, shaping and sintering the alumina-based material to obtain a porous framework(Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e2\u003c/span\u003e). This porous structure was then used as a scaffold for subsequent glass infiltration.\u003c/p\u003e \u003cp\u003eAfter sintering, all specimens were sectioned into standardized dimensions using a precision cutting device and subsequently finished to obtain uniform surfaces and geometry.\u003c/p\u003e \u003cp\u003eCore discs were fabricated and standardized to a thickness of 0.50\u0026thinsp;\u0026plusmn;\u0026thinsp;0.05 mm. One surface was polished for measurement, while the opposite surface was prepared for veneering. Reference notches were created to ensure reproducible positioning during profilometric measurements (Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e3\u003c/span\u003e). All specimens were ultrasonically cleaned and subjected to a stress-relief heat treatment prior to baseline measurements.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eFor profilometric assessment, the specimen was adjusted using the system controls so that the stylus tip was positioned at the lower border of the \u0026ldquo;U\u0026rdquo;-shaped reference notch on the specimen surface (Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e4\u003c/span\u003e). The stylus load was set at 0.05 mg, and the scanning speed was adjusted to 0.2 mm/s.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eVeneering porcelain was applied to a uniform thickness of approximately 1.5 mm according to manufacturer recommendations, maintaining a consistent core\u0026ndash;veneer thickness ratio across all groups.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cdiv id=\"Sec8\" class=\"Section2\"\u003e \u003ch2\u003eFiring protocol:\u003c/h2\u003e \u003cp\u003eAll specimens underwent two consecutive dentin firing cycles followed by a glaze firing, in accordance with manufacturer-recommended firing schedules. Furnace calibration was verified prior to all firing procedures to ensure temperature accuracy. Cooling was performed under controlled conditions without forced air cooling to minimize thermal shock and ensure consistent thermal gradients across specimens.\u003c/p\u003e \u003c/div\u003e\n\u003ch3\u003eDistortion measurement:\u003c/h3\u003e\n\u003cp\u003eSurface profiles were obtained using a contact profilometer (XP-2, Ambios Technology Inc.) at four time points:\u003c/p\u003e \u003cp\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003eT0: baseline\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eT1: after first dentin firing\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eT2: after second dentin firing\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eT3: after glaze firing\u003c/p\u003e \u003c/li\u003e \u003c/ul\u003e \u003c/p\u003e \u003cp\u003eThe profilometer was calibrated prior to each measurement session according to the manufacturer\u0026rsquo;s instructions. All measurements were performed by a single calibrated examiner under standardized conditions to minimize measurement bias.\u003c/p\u003e \u003cp\u003eDistortion was defined as the change in mid-point vertical displacement relative to baseline.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e\n\u003ch3\u003eFinite element analysis (FEA)\u003c/h3\u003e\n\u003cp\u003eFinite element analysis was performed to evaluate thermo-mechanical stress development in bilayer ceramic systems during cooling and was used in a descriptive manner to better understand stress distribution patterns and support the interpretation of the experimental distortion results. Particular attention was paid to stress concentrations in marginal regions, where localized deformation may contribute to clinically relevant misfit.\u003c/p\u003e \u003cp\u003eThree-dimensional models representing the experimental disc geometry were constructed. In addition, anatomically simplified models, including an anterior 3-unit bridge and a posterior 4-unit bridge, were generated to provide clinically relevant insight into stress distribution.\u003c/p\u003e \u003cp\u003eThe analyses were conducted using ABAQUS 6.6-1 (Dassault Syst\u0026egrave;mes, France). Material properties, including temperature-dependent mechanical and thermal parameters, were assigned to both core and veneering ceramics.\u003c/p\u003e \u003cp\u003eA coupled temperature\u0026ndash;displacement analysis was performed to simulate thermo-mechanical behavior during cooling. The total analysis time was set to 600 seconds. No external mechanical loading was applied; stress development resulted solely from thermal contraction.\u003c/p\u003e \u003cp\u003eExperimentally obtained cooling curves were converted into equivalent convective heat transfer coefficients and applied to both internal and external surfaces to define thermal boundary conditions. The initial temperature corresponded to the firing temperature at the onset of cooling.\u003c/p\u003e \u003cp\u003eThe models were discretized using tetrahedral elements. Following simulation, transient and residual thermal stresses were calculated. Particular attention was given to stress distribution at the core\u0026ndash;veneer interface, veneering ceramic surface, and abutment regions.\u003c/p\u003e \u003cdiv id=\"Sec11\" class=\"Section2\"\u003e \u003ch2\u003eStatistical analysis:\u003c/h2\u003e \u003cp\u003eStatistical analyses were performed using SPSS 15.0 (Statistical Package of Social Sciences SPSS Inc., Chicago, IL, USA)\u003c/p\u003e \u003cp\u003eData normality was assessed using the Shapiro\u0026ndash;Wilk test, and homogeneity of variances was evaluated using Levene\u0026rsquo;s test prior to parametric analysis.\u003c/p\u003e \u003cp\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003eWithin-group comparisons: Wilcoxon signed-rank test\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eBetween-group comparisons: one-way ANOVA with Bonferroni post hoc correction\u003c/p\u003e \u003c/li\u003e \u003cli\u003e \u003cp\u003eCorrelation analysis: Pearson correlation coefficient\u003c/p\u003e \u003c/li\u003e \u003c/ul\u003e \u003c/p\u003e \u003cp\u003eEffect sizes (η\u0026sup2;) were calculated to assess the magnitude of differences among groups.\u003c/p\u003e \u003cp\u003eThe level of statistical significance was set at p\u0026thinsp;\u0026lt;\u0026thinsp;0.05.\u003c/p\u003e \u003c/div\u003e"},{"header":"RESULTS","content":"\u003cdiv id=\"Sec13\" class=\"Section2\"\u003e \u003ch2\u003eExperimental distortion results\u003c/h2\u003e \u003cp\u003eAll bilayer systems exhibited measurable distortion following thermal processing, with statistically significant changes observed at all firing stages (p\u0026thinsp;\u0026lt;\u0026thinsp;0.05).\u003c/p\u003e \u003cp\u003eAfter the first dentin firing (T1), distortion values increased compared with baseline (T0). The highest distortion values were consistently recorded after the second dentin firing (T2). Following glaze firing (T3), distortion values decreased compared with T2; however, they remained higher than baseline levels.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec14\" class=\"Section2\"\u003e \u003ch2\u003eA-F refers to six different core ceramic materials described in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e\u003c/h2\u003e \u003cp\u003eSignificant intergroup differences were identified at all measurement stages (p\u0026thinsp;\u0026lt;\u0026thinsp;0.05). Based on final distortion values (T3\u0026ndash;T0), the Lava Zirconia/Lava Ceram system exhibited the lowest mean distortion, whereas the Turkom-Cera/Vita VM7 system demonstrated the highest distortion. Zirconia-based systems showed intermediate distortion values, with variability observed among different zirconia materials.\u003c/p\u003e \u003cp\u003eEffect size analysis (η\u0026sup2;) indicated that the magnitude of intergroup differences was substantial.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec15\" class=\"Section2\"\u003e \u003ch2\u003eCorrelation analysis\u003c/h2\u003e \u003cp\u003eThe correlation analysis was performed on a subset of the data, including only zirconia-based groups; therefore, the sample size was reduced to N\u0026thinsp;=\u0026thinsp;40.\u003c/p\u003e \u003cp\u003eA significant positive correlation was observed between thermal expansion mismatch (Δα) and distortion magnitude (p\u0026thinsp;\u0026lt;\u0026thinsp;0.01). When absolute mismatch values (|Δα|) were considered, the strength of the correlation increased \u003cb\u003e(Table\u0026nbsp;3)\u003c/b\u003e.\u003c/p\u003e \u003cp\u003eDistortion was also observed in systems with minimal or near-zero Δα values.\u003c/p\u003e \u003cp\u003e \u003cb\u003eTable\u0026nbsp;3. Correlation matrix\u003c/b\u003e \u003c/p\u003e \u003cp\u003e\u003cimg 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\" width=\"609\" height=\"280\"\u003e\u003c/p\u003e\u003cp\u003e**All correlations were statistically significant (p\u0026thinsp;\u0026lt;\u0026thinsp;0.01, N\u0026thinsp;=\u0026thinsp;40).\u003c/p\u003e \u003cp\u003eAlthough the magnitude of distortion was within the micrometer range, the changes were consistent and statistically significant across all experimental conditions\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec16\" class=\"Section2\"\u003e \u003ch2\u003eFinite element analysis results\u003c/h2\u003e \u003cp\u003eFinite element analysis demonstrated non-uniform stress distribution across all modeled restorations. Both transient and residual thermal stresses developed during the cooling phase, with peak stress values occurring near the glass transition temperature range.\u003c/p\u003e \u003cp\u003eMaximum principal tensile stresses were primarily concentrated at the core\u0026ndash;veneer interface and at the external surface of the veneering ceramic. In bridge models, additional stress concentrations were observed at the cervical regions of the abutment units\u003c/p\u003e \u003cp\u003eThe magnitude of calculated maximum tensile stresses ranged between approximately 52 and 144 MPa, while residual thermal stresses ranged between approximately 7 and 29 MPa.\u003c/p\u003e \u003cp\u003eThermal stress evolution showed that stress intensity increased during cooling and stabilized at lower temperatures, resulting in residual stress accumulation within the bilayer structure.\u003c/p\u003e \u003cp\u003eThe FEA findings were considered together with the experimental data to provide a more comprehensive understanding of the thermo-mechanical behavior.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec17\" class=\"Section2\"\u003e \u003ch2\u003eIntegration of experimental and numerical findings\u003c/h2\u003e \u003cp\u003eThe stress distribution patterns obtained from finite element analysis were consistent with the experimentally observed distortion behavior. Systems exhibiting higher thermal mismatch and greater distortion values also demonstrated increased tensile stress concentrations in the numerical models\u003c/p\u003e \u003cp\u003eImportantly, finite element analysis revealed that measurable tensile stresses were present even in systems with minimal Δα values, supporting the experimental finding that distortion cannot be explained solely by thermal expansion mismatch.\u003c/p\u003e \u003cp\u003eThe localization of tensile stresses at the veneering surface and core\u0026ndash;veneer interface corresponds to regions most susceptible to deformation and failure, providing a mechanical explanation for the observed distortion patterns.\u003c/p\u003e \u003c/div\u003e"},{"header":"DISCUSSION","content":"\u003cp\u003eThe present study demonstrated that distortion in bilayer ceramic systems is influenced by thermal expansion mismatch; however, it cannot be explained solely by Δα. This finding reinforces the concept that thermo-mechanical behavior in layered ceramic systems is governed by multiple interacting factors rather than by a single material parameter [\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e, \u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eResidual stresses in bilayer ceramics develop primarily during cooling as a consequence of constrained shrinkage and differential thermal contraction between the core and veneering materials [\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e, \u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e]. Early experimental studies demonstrated that thermal mismatch between bonded layers can generate measurable deflection and internal stresses, even under controlled conditions [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e, \u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e]. Although Δα remains an important indicator of compatibility, it does not fully capture the complexity of stress evolution within the restoration.\u003c/p\u003e \u003cp\u003eA key finding of the present study is the presence of measurable distortion even in systems with minimal or near-zero thermal expansion mismatch. This observation is consistent with previous studies indicating that residual stresses may persist despite nominal thermal compatibility [\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e, \u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]. This behavior can be explained by the viscoelastic response of veneering ceramics, particularly near the glass transition temperature, where time-dependent deformation enables partial stress relaxation. However, due to non-uniform cooling and constrained geometry, this relaxation remains incomplete, leading to residual stress accumulation [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThermal gradients generated during cooling play a critical role in stress development. Rapid or uneven cooling results in differential contraction within the layered structure, producing tensile stresses at the veneer surface and at the core\u0026ndash;veneer interface [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e]. These regions are considered critical zones for crack initiation and propagation and are therefore of particular clinical relevance.\u003c/p\u003e \u003cp\u003eRepeated firing cycles further intensified distortion in the present study, indicating cumulative thermo-mechanical effects associated with thermal history. This finding is in agreement with previous studies demonstrating that multiple firing procedures can modify thermal contraction behavior and lead to progressive stress accumulation within ceramic systems [\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e, \u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eMaterial-related factors also contribute to the observed behavior. Microstructural characteristics such as phase composition, grain size, and material heterogeneity influence both thermal and mechanical responses. In zirconia-based systems, these factors are particularly important because of their impact on phase stability and mechanical performance [\u003cspan additionalcitationids=\"CR17\" citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eFrom a mechanical perspective, distortion in bilayer ceramic systems can be interpreted as bending induced by differential strain between bonded layers, consistent with classical multilayer mechanics [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e, \u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eFinite element analysis provided further insight into the mechanisms underlying distortion. Previous numerical studies have demonstrated that thermal gradients, material interaction, and restoration geometry significantly influence stress distribution in bilayer ceramic systems [\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e]. The present results showed that maximum tensile stresses were concentrated at the core\u0026ndash;veneer interface and at the outer surface of the veneering ceramic, consistent with earlier numerical findings [\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e, \u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThese findings are also in agreement with clinical and experimental observations, in which stress concentration at the veneer or interface has been associated with failure modes such as chipping, delamination, and unstable crack propagation in veneered ceramic restorations [\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e, \u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e, \u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e22\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eImportantly, the observation of tensile stresses in systems with minimal thermal mismatch further supports the conclusion that Δα alone is not a reliable predictor of thermo-mechanical behavior. In line with this, previous studies have emphasized that stress evolution is strongly influenced by thermal history and material interaction rather than by thermal expansion mismatch alone [\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThe partial reduction in distortion observed after glaze firing suggests that some degree of stress relaxation occurs at elevated temperatures; however, this relaxation remains incomplete, likely due to limitations in viscous flow and non-uniform cooling conditions [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eFrom a clinical perspective, even micrometer-level distortions may influence the passive fit of restorations and act as stress concentrators under functional loading. In multi-unit restorations, such distortions may contribute to marginal discrepancies and increase susceptibility to long-term complications such as chipping or delamination [\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e, \u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e, \u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThis study has some limitations. The use of disc-shaped specimens enabled strict standardization but does not fully replicate the complex geometries of clinical restorations. Intraoral conditions such as cyclic loading, thermal fluctuations, and moisture exposure were not simulated.\u003c/p\u003e \u003cp\u003eThermal expansion mismatch was calculated using manufacturer-reported values, which may vary depending on processing conditions. Additionally, only a single core\u0026ndash;veneer thickness ratio was evaluated, although thickness is known to influence stress distribution.\u003c/p\u003e"},{"header":"CONCLUSION","content":"\u003cp\u003eWithin the limitations of this in vitro study, all bilayer ceramic systems showed measurable distortion after thermal processing, and the highest values were observed after repeated firing cycles. Although thermo-mechanical mismatch contributed to this behavior, distortion could not be explained by Δα alone. The findings suggest that residual thermal stress development during firing and cooling also played an important role. The first null hypothesis was rejected because significant differences in distortion were found among the tested systems. The second null hypothesis was also rejected, since thermal expansion mismatch was significantly correlated with distortion. The third null hypothesis could not be fully accepted because clinical fit was not measured directly; however, the combined experimental and finite element findings suggest that even small distortions may be relevant to prosthetic fit. Finite element analysis further showed that residual thermal stresses may develop even in systems with minimal thermal mismatch, highlighting the contribution of additional factors such as thermal gradients, viscoelastic behavior, and processing conditions. The stress concentrations observed in marginal and interfacial regions also support the possible clinical relevance of distortion. From a clinical perspective, even micrometer-level distortions may be important in restorations that require high precision or passive fit. Therefore, bilayer ceramic restorations should be assessed within a multifactorial framework that considers not only thermal expansion mismatch, but also residual thermal stress development and firing-related material behavior.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eEthics approval and consent to participate\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNot applicable. This study did not involve human or animal subjects.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eConsent for publication\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNot applicable.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAvailability of data and materials\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCompeting interests\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors declare that they have no competing interests.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eFunding\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNo specific funding was received for this study.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAuthors\u0026rsquo; contributions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eEA and BA conceived and designed the study.\u003c/p\u003e\n\u003cp\u003eBA and EA performed the experimental procedures and data collection.\u003c/p\u003e\n\u003cp\u003eEA, BA, BM\u0026Uuml;\u0026Uuml;, BAK, and ZKK contributed to data interpretation and critically revised the manuscript.\u003c/p\u003e\n\u003cp\u003eAll authors read and approved the final manuscript.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAcknowledgements\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNot applicable.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003eZhang Y, Sailer I, Lawn BR. 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Oral. 2024;5(1):15. \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003e10.3390/oral5010015\u003c/span\u003e\u003cspan address=\"10.3390/oral5010015\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eLi Z, Zhang Y, Sun MJ. Finite element analysis of stress evolution in dental materials: the role of thermal history and material interaction. Strain. 2021;57(5):e12405. \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003e10.1080/10255842.2021.1955869\u003c/span\u003e\u003cspan address=\"10.1080/10255842.2021.1955869\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e.\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"bmc-oral-health","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ohea","sideBox":"Learn more about [BMC Oral Health](http://bmcoralhealth.biomedcentral.com/)","snPcode":"","submissionUrl":"https://www.editorialmanager.com/ohea/default.aspx","title":"BMC Oral Health","twitterHandle":"BMC_series","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"em","reportingPortfolio":"BMC Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Dental ceramics, marginal adaptation, thermal compatibility, distortion, firing cycles, finite element analysis","lastPublishedDoi":"10.21203/rs.3.rs-9260866/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9260866/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003ch2\u003eBackground\u003c/h2\u003e \u003cp\u003eThermo-mechanical compatibility between core and veneering ceramics plays a critical role in the performance of bilayer ceramic restorations. Although thermal expansion mismatch (Δα) is commonly used to assess compatibility, its ability to predict distortion behavior remains limited. This study aimed to evaluate the effect of residual thermal stresses on distortion in bilayer ceramic systems and to provide mechanical insight using finite element analysis (FEA).\u003c/p\u003e\u003ch2\u003eMethods\u003c/h2\u003e \u003cp\u003eSix bilayer ceramic systems, including four yttria-stabilized zirconia-based systems, one lithium disilicate system, and one alumina-based system, were investigated (n\u0026thinsp;=\u0026thinsp;10, N\u0026thinsp;=\u0026thinsp;60). Standardized disc-shaped specimens were fabricated and subjected to two dentin firing cycles followed by a glaze firing. Surface distortion was measured using contact profilometry at four time points (T0\u0026ndash;T3). Experimental cooling curves were obtained and used to define thermal boundary conditions in finite element models. Three-dimensional models, including disc and bridge geometries, were analyzed using a coupled temperature\u0026ndash;displacement approach to evaluate thermo-mechanical stress development during cooling. Statistical analyses were performed using one-way ANOVA, Wilcoxon signed-rank tests, and Pearson correlation analysis (α\u0026thinsp;=\u0026thinsp;0.05).\u003c/p\u003e\u003ch2\u003eResults\u003c/h2\u003e \u003cp\u003eAll systems exhibited significant distortion after thermal processing (p\u0026thinsp;\u0026lt;\u0026thinsp;0.05), with the highest values observed after the second dentin firing. A significant positive correlation was calculated between thermal expansion mismatch (Δα) and distortion magnitude (p\u0026thinsp;\u0026lt;\u0026thinsp;0.05); however, distortion was also present even in systems with minimal thermal mismatch. Finite element analysis demonstrated non-uniform stress distribution, with tensile stresses concentrated at the core\u0026ndash;veneer interface and the veneering surface. Additional stress concentrations were observed in marginal regions of bridge models. Maximum tensile stresses ranged between approximately 52 and 144 MPa, while residual stresses ranged between approximately 7 and 29 MPa.\u003c/p\u003e\u003ch2\u003eConclusions\u003c/h2\u003e \u003cp\u003eWithin the limitations of the present study, distortion in bilayer ceramic systems appears to be associated with residual thermal stress development during thermal processing. Although thermo-mechanical mismatch contributed to this behavior, distortion could not be fully explained by differences in Δα alone. Based on the combined evaluation of experimental measurements and finite element analysis, residual thermal stress development seems to be governed by multiple interacting factors, including thermal gradients and material behavior. From a clinical perspective, even minor distortions may have the potential to affect prosthetic fit. Therefore, residual thermal stresses should be considered, together with thermo-mechanical compatibility, when evaluating bilayer ceramic restorations.\u003c/p\u003e","manuscriptTitle":"Effect of Residual Thermal Stresses on Distortion in Bilayer Ceramic Restorations","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-04-24 16:35:49","doi":"10.21203/rs.3.rs-9260866/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"editorInvitedReview","content":"","date":"2026-05-09T11:15:49+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"110465959484308476249351565458703073797","date":"2026-04-20T02:51:26+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"319973374175813550812851412858713933496","date":"2026-04-19T12:51:55+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2026-04-17T09:59:47+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2026-04-02T14:58:07+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-04-02T10:27:06+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2026-04-02T10:26:47+00:00","index":"","fulltext":""},{"type":"submitted","content":"BMC Oral Health","date":"2026-03-29T20:19:20+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"bmc-oral-health","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ohea","sideBox":"Learn more about [BMC Oral Health](http://bmcoralhealth.biomedcentral.com/)","snPcode":"","submissionUrl":"https://www.editorialmanager.com/ohea/default.aspx","title":"BMC Oral Health","twitterHandle":"BMC_series","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"em","reportingPortfolio":"BMC Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"f45ed833-848f-4574-bc2b-f8a52b3dc93c","owner":[],"postedDate":"April 24th, 2026","published":true,"recentEditorialEvents":[{"type":"editorInvitedReview","content":"","date":"2026-05-09T11:15:49+00:00","index":54,"fulltext":""}],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-04-24T16:35:49+00:00","versionOfRecord":[],"versionCreatedAt":"2026-04-24 16:35:49","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9260866","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9260866","identity":"rs-9260866","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}