Pub Date : 2026-02-10DOI: 10.1016/j.ijmecsci.2026.111371
Kun He, Jimin Zhang, Hechao Zhou
Subway trains operate with high passenger density and complex environments. In collisions, anti-climb energy absorbers may bend under uncertain boundaries, leading to crashworthiness degradation. To clarify this degradation mechanism, an explainable machine learning framework is proposed. First, the sources of uncertain boundary conditions are systematically analyzed, and representative collision parameters are extracted. A quadratic sampling strategy based on local response entropy is developed to construct the collision dataset. Several machine learning models are employed to fit the mapping between boundary conditions and energy-absorption performance, with SHapley Additive exPlanations used to provide explainability of feature contributions. Research findings indicate that absorber alignment and lateral slip are critical factors affecting crashworthiness. Under the most severe boundary conditions, energy absorption decreased by 43.6%. Under single boundary variation, energy absorption exhibits a nonlinear decline as boundary conditions deteriorate. However, under coupled boundary variations, the impact of different boundaries on collision safety shows an intertwined positive and negative pattern. Specifically, when the lateral tilt angle is large, energy absorption first increases and then decreases as lateral displacement increases. This is primarily attributed to the inability of anti-creep teeth to effectively constrain lateral slip. Further explainable analysis quantified the relative contributions of boundary conditions, revealing that vertical displacement is the dominant factor causing collision safety degradation, accounting for over 48% of the contribution. These findings provide theoretical insights and data-driven support for optimizing the design of subway anti-climb energy absorbers.
{"title":"Degradation Mechanism of Subway Energy Absorber Crashworthiness Under Complex Boundaries","authors":"Kun He, Jimin Zhang, Hechao Zhou","doi":"10.1016/j.ijmecsci.2026.111371","DOIUrl":"https://doi.org/10.1016/j.ijmecsci.2026.111371","url":null,"abstract":"Subway trains operate with high passenger density and complex environments. In collisions, anti-climb energy absorbers may bend under uncertain boundaries, leading to crashworthiness degradation. To clarify this degradation mechanism, an explainable machine learning framework is proposed. First, the sources of uncertain boundary conditions are systematically analyzed, and representative collision parameters are extracted. A quadratic sampling strategy based on local response entropy is developed to construct the collision dataset. Several machine learning models are employed to fit the mapping between boundary conditions and energy-absorption performance, with SHapley Additive exPlanations used to provide explainability of feature contributions. Research findings indicate that absorber alignment and lateral slip are critical factors affecting crashworthiness. Under the most severe boundary conditions, energy absorption decreased by 43.6%. Under single boundary variation, energy absorption exhibits a nonlinear decline as boundary conditions deteriorate. However, under coupled boundary variations, the impact of different boundaries on collision safety shows an intertwined positive and negative pattern. Specifically, when the lateral tilt angle is large, energy absorption first increases and then decreases as lateral displacement increases. This is primarily attributed to the inability of anti-creep teeth to effectively constrain lateral slip. Further explainable analysis quantified the relative contributions of boundary conditions, revealing that vertical displacement is the dominant factor causing collision safety degradation, accounting for over 48% of the contribution. These findings provide theoretical insights and data-driven support for optimizing the design of subway anti-climb energy absorbers.","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"32 1","pages":""},"PeriodicalIF":7.3,"publicationDate":"2026-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146146771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanical energy harvesting has gained increasing attention in recent years, driven primarily by the escalating demand for autonomous power sources in diverse applications, such as the Internet of Things (IoT). The fundamental challenge lies in developing high-efficiency devices capable of scavenging energy from irregular environmental sources. This paper proposes a novel nonlinear piezoelectric energy harvester (NPEH) incorporating a spatial chaotic pendulum to effectively capture broadband and omnidirectional vibration energy. By integrating a spiral curved beam with a magnetic pendulum, the system’s nonlinearity is enhanced, thereby significantly broadening the operational bandwidth. Under specific excitation conditions, chaotic motion is induced, leading to a substantial increase in output power and energy density. From a nonlinear dynamics perspective, the performance was rigorously analyzed by investigating the effects of excitation direction and frequency, revealing the role of chaotic phenomena in optimizing energy harvesting capacity. A dedicated experimental platform was established to evaluate the influence of structural parameters, encompassing theoretical-experimental comparisons, frequency response analysis, and verification of chaotic behavior. Furthermore, the device’s performance under typical outdoor road conditions was assessed. Experimental results confirm the feasibility of the proposed design and the fidelity of the theoretical model. This research provides a robust solution for designing piezoelectric harvesters capable of efficient energy transduction from complex, multidimensional excitation sources.
{"title":"Omnidirectional Piezoelectric Energy Harvester Using Chaotic Spatial Magnetic Pendulum","authors":"Haocheng Yang, Mingming Yu, Jichun Xing, Yongfei Gu, Marcelo A. Savi","doi":"10.1016/j.ijmecsci.2026.111374","DOIUrl":"https://doi.org/10.1016/j.ijmecsci.2026.111374","url":null,"abstract":"Mechanical energy harvesting has gained increasing attention in recent years, driven primarily by the escalating demand for autonomous power sources in diverse applications, such as the Internet of Things (IoT). The fundamental challenge lies in developing high-efficiency devices capable of scavenging energy from irregular environmental sources. This paper proposes a novel nonlinear piezoelectric energy harvester (NPEH) incorporating a spatial chaotic pendulum to effectively capture broadband and omnidirectional vibration energy. By integrating a spiral curved beam with a magnetic pendulum, the system’s nonlinearity is enhanced, thereby significantly broadening the operational bandwidth. Under specific excitation conditions, chaotic motion is induced, leading to a substantial increase in output power and energy density. From a nonlinear dynamics perspective, the performance was rigorously analyzed by investigating the effects of excitation direction and frequency, revealing the role of chaotic phenomena in optimizing energy harvesting capacity. A dedicated experimental platform was established to evaluate the influence of structural parameters, encompassing theoretical-experimental comparisons, frequency response analysis, and verification of chaotic behavior. Furthermore, the device’s performance under typical outdoor road conditions was assessed. Experimental results confirm the feasibility of the proposed design and the fidelity of the theoretical model. This research provides a robust solution for designing piezoelectric harvesters capable of efficient energy transduction from complex, multidimensional excitation sources.","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"57 1","pages":""},"PeriodicalIF":7.3,"publicationDate":"2026-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146146770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-09DOI: 10.1016/j.ijmecsci.2026.111367
Yaxi Li, Xin Wang, Ming Liu, Tang Gu, Xu Long
Nanoindentation is widely employed to evaluate elastic properties of crystalline materials; however, the influence of in-plane rotation of non-axisymmetric indenters on elastic modulus extraction in elastically anisotropic single crystals remains insufficiently quantified. In this study, the effect of Berkovich indenter rotation on elastic modulus measurements performed on the [001] surface of a DD6 Ni-based single-crystal superalloy is systematically investigated. By combining nanoindentation experiments with finite element simulations, it is demonstrated that indenter rotation alone—without any change in crystallographic orientation—induces reproducible, orientation-dependent fluctuations in the apparent elastic modulus. Two finite element frameworks are employed for comparison: a crystal elasticity-based finite element model (CE-FEM) and a macroscopic anisotropic elastic model (Macro-FEM). Their close agreement under purely elastic conditions confirms that the observed modulus fluctuations originate from an intrinsic geometry–crystal coupling between the asymmetric Berkovich indenter and elastic anisotropy, rather than from constitutive modeling artifacts. Experimental results further reveal that the orientation-dependent modulation of the measured modulus persists under realistic testing conditions, indicating that indenter orientation can constitute a non-negligible source of systematic variation in high-precision nanoindentation measurements. By systematically comparing Berkovich and spherical indentation responses and analyzing orientation-dependent trends, this work establishes indenter rotation as an intrinsic, geometry-driven factor affecting elastic modulus extraction in anisotropic single crystals. The findings provide practical guidance for improving the reliability and interpretability of nanoindentation-based elastic characterization in anisotropic materials.
{"title":"Orientation-induced fluctuations of elastic modulus by Berkovich nanoindentation","authors":"Yaxi Li, Xin Wang, Ming Liu, Tang Gu, Xu Long","doi":"10.1016/j.ijmecsci.2026.111367","DOIUrl":"https://doi.org/10.1016/j.ijmecsci.2026.111367","url":null,"abstract":"Nanoindentation is widely employed to evaluate elastic properties of crystalline materials; however, the influence of in-plane rotation of non-axisymmetric indenters on elastic modulus extraction in elastically anisotropic single crystals remains insufficiently quantified. In this study, the effect of Berkovich indenter rotation on elastic modulus measurements performed on the [001] surface of a DD6 Ni-based single-crystal superalloy is systematically investigated. By combining nanoindentation experiments with finite element simulations, it is demonstrated that indenter rotation alone—without any change in crystallographic orientation—induces reproducible, orientation-dependent fluctuations in the apparent elastic modulus. Two finite element frameworks are employed for comparison: a crystal elasticity-based finite element model (CE-FEM) and a macroscopic anisotropic elastic model (Macro-FEM). Their close agreement under purely elastic conditions confirms that the observed modulus fluctuations originate from an intrinsic geometry–crystal coupling between the asymmetric Berkovich indenter and elastic anisotropy, rather than from constitutive modeling artifacts. Experimental results further reveal that the orientation-dependent modulation of the measured modulus persists under realistic testing conditions, indicating that indenter orientation can constitute a non-negligible source of systematic variation in high-precision nanoindentation measurements. By systematically comparing Berkovich and spherical indentation responses and analyzing orientation-dependent trends, this work establishes indenter rotation as an intrinsic, geometry-driven factor affecting elastic modulus extraction in anisotropic single crystals. The findings provide practical guidance for improving the reliability and interpretability of nanoindentation-based elastic characterization in anisotropic materials.","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"42 1","pages":""},"PeriodicalIF":7.3,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146146775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-09DOI: 10.1016/j.ijmecsci.2026.111370
Shinya Matsuda, Koichi Goda
A stochastic model is proposed to provide a unified description of the nonlinear relationship between fracture strength and crack length, alongside the associated scatter, in ceramics containing short cracks. Although linear elastic fracture mechanics (LEFM) successfully describes fracture in the long-crack regime, short cracks exhibit pronounced nonlinearity and significant scatter, which are not adequately captured by conventional deterministic models. The proposed framework formulates transitions between the discretized effective crack length states as a Markov process combined with a Weibull distribution of fracture strength. This framework characterizes both the nonlinear mean response and the associated scatter. Theoretical analysis reveals that the curvature of the nonlinear behavior in the short-crack regime is governed by the Weibull shape parameter, whereas the finite size of the process zone dictates the magnitude of the scatter without affecting the mean response. The model is validated against experimental data for four ceramic materials, demonstrating its ability to accurately reproduce both the nonlinear behavior and the associated variability. Since the model relies solely on independently measurable material properties—including Weibull parameters, fracture toughness, and the process-zone length—it offers a practical and physically transparent framework for the reliability assessment of ceramic components.
{"title":"Stochastic modeling of short crack fracture in ceramics","authors":"Shinya Matsuda, Koichi Goda","doi":"10.1016/j.ijmecsci.2026.111370","DOIUrl":"https://doi.org/10.1016/j.ijmecsci.2026.111370","url":null,"abstract":"A stochastic model is proposed to provide a unified description of the nonlinear relationship between fracture strength and crack length, alongside the associated scatter, in ceramics containing short cracks. Although linear elastic fracture mechanics (LEFM) successfully describes fracture in the long-crack regime, short cracks exhibit pronounced nonlinearity and significant scatter, which are not adequately captured by conventional deterministic models. The proposed framework formulates transitions between the discretized effective crack length states as a Markov process combined with a Weibull distribution of fracture strength. This framework characterizes both the nonlinear mean response and the associated scatter. Theoretical analysis reveals that the curvature of the nonlinear behavior in the short-crack regime is governed by the Weibull shape parameter, whereas the finite size of the process zone dictates the magnitude of the scatter without affecting the mean response. The model is validated against experimental data for four ceramic materials, demonstrating its ability to accurately reproduce both the nonlinear behavior and the associated variability. Since the model relies solely on independently measurable material properties—including Weibull parameters, fracture toughness, and the process-zone length—it offers a practical and physically transparent framework for the reliability assessment of ceramic components.","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"16 1","pages":""},"PeriodicalIF":7.3,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146146773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-09DOI: 10.1016/j.ijmecsci.2026.111372
Jinghan Guan, Shijing Zhang, Jie Deng, Junkao Liu, Yingxiang Liu
Two-degree-of-freedom (2-DOF) piezoelectric rotary platforms enable high-precision angle, ideal for attitude adjustment applications. However, robotic and aerospace demand smaller size and lower power consumption. This work proposes a different actuation approach from existing platforms and develops a rotary platform. It achieves 2-DOF rotation by integrating a compliant mechanism with a single sandwich-type bending piezoelectric actuator (BPA). The BPA consists of four independently segmented piezoelectric ceramics and generates orthogonal bending motions using two voltage signals. Its capacitance is 8 nF, and it incorporates a displacement-amplifying horn. This enables large output angles while maintaining low power consumption. A theoretical model is developed to describe the transmission of the actuator bending displacement to the elastic deformation of the compliant mechanism, showing strong agreement with finite element analysis. Experimental results show that the platform achieves a rotational stroke of 2.6 mrad and exhibits good linearity. Its resolution can reach 0.27 μrad. Its first natural frequency is 8571 Hz, and the operational bandwidth under load reaches 3604 Hz. Its miniaturization is reflected in a weight of 50 g and dimensions of Φ24 mm × 32.2 mm. It is demonstrated that miniaturization, low power consumption, and high bandwidth enhance its application potential in attitude adjustment systems.
{"title":"A miniaturized 2-DOF piezoelectric rotary platform for low-power and high-bandwidth","authors":"Jinghan Guan, Shijing Zhang, Jie Deng, Junkao Liu, Yingxiang Liu","doi":"10.1016/j.ijmecsci.2026.111372","DOIUrl":"https://doi.org/10.1016/j.ijmecsci.2026.111372","url":null,"abstract":"Two-degree-of-freedom (2-DOF) piezoelectric rotary platforms enable high-precision angle, ideal for attitude adjustment applications. However, robotic and aerospace demand smaller size and lower power consumption. This work proposes a different actuation approach from existing platforms and develops a rotary platform. It achieves 2-DOF rotation by integrating a compliant mechanism with a single sandwich-type bending piezoelectric actuator (BPA). The BPA consists of four independently segmented piezoelectric ceramics and generates orthogonal bending motions using two voltage signals. Its capacitance is 8 nF, and it incorporates a displacement-amplifying horn. This enables large output angles while maintaining low power consumption. A theoretical model is developed to describe the transmission of the actuator bending displacement to the elastic deformation of the compliant mechanism, showing strong agreement with finite element analysis. Experimental results show that the platform achieves a rotational stroke of 2.6 mrad and exhibits good linearity. Its resolution can reach 0.27 μrad. Its first natural frequency is 8571 Hz, and the operational bandwidth under load reaches 3604 Hz. Its miniaturization is reflected in a weight of 50 g and dimensions of Φ24 mm × 32.2 mm. It is demonstrated that miniaturization, low power consumption, and high bandwidth enhance its application potential in attitude adjustment systems.","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"315 1","pages":""},"PeriodicalIF":7.3,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146146772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-07DOI: 10.1016/j.ijmecsci.2026.111366
Zichuan Li , Jiajie Fan , Guoqi Zhang
<div><div>This study is motivated by a conceptual inconsistency in the physical interpretation of eight-chain hyperelastic theory, which arises from the combined effect of two distinct issues: the use of the marginal projection distribution <span><math><mrow><msub><mrow><mi>p</mi></mrow><mrow><mi>z</mi></mrow></msub><mrow><mo>(</mo><mrow><mo>|</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>z</mi></mrow></msub><mo>|</mo></mrow><mo>)</mo></mrow></mrow></math></span> as a surrogate for the full probability density of end-to-end distance <span><math><mrow><msub><mrow><mi>p</mi></mrow><mrow><mover><mrow><mi>r</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msub><mrow><mo>(</mo><mover><mrow><mi>r</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>)</mo></mrow></mrow></math></span>, and the subsequent reliance on a root mean square (RMS) approximation step in the micro–macro averaging of chain stretch. We first revisit this probabilistic mismatch by reformulating the probability density function of freely-jointed chains (FJCs) in terms of the squared end-to-end vector <span><math><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, thereby restoring consistency on chain-level statistics. Building on this formulation, the micro–macro mapping averaging of chain conformational free energy is constructed directly in terms of <span><math><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, leading to a one-step mean-field approximation that avoids RMS averaging. The modified probability transformation is examined by Monte Carlo sampling at the microscopic level. To account for interchain interactions, <span><math><mi>q</mi></math></span>-mean statistical description of micro tube confinement was incorporated, leading to the appearance of the general invariant <span><math><mrow><msub><mrow><mi>I</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>=</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow><mrow><mi>q</mi></mrow></msubsup><mo>+</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>2</mn></mrow><mrow><mi>q</mi></mrow></msubsup><mo>+</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>3</mn></mrow><mrow><mi>q</mi></mrow></msubsup></mrow></math></span>. The resulting continuum constitutive model is assessed against multiaxial experimental data for several polymer networks, including vulcanized natural rubber, Entec Enflex S4035A thermoplastic elastomer, Tetra-PEG, and isoprene rubber vulcanizate. Comparisons with three existing hyperelastic strain energy formulations, the extended eight-chain, extended tube models, and the four-parameter ”comprehensive” model, demonstrate comparable phenomenological accuracy of the current model while providing a clearer and more consistent micro–macro physical interpretation of model parameters. A parametric study further illustrates how the dimensionless parameters <span><math><mi>n</mi></math></span> and <span><math><mi>q</mi></math></span> govern the shape of the macroscopic stress–strain re
{"title":"A new physics-motivated constitutive model of hyperelastic polymer networks","authors":"Zichuan Li , Jiajie Fan , Guoqi Zhang","doi":"10.1016/j.ijmecsci.2026.111366","DOIUrl":"10.1016/j.ijmecsci.2026.111366","url":null,"abstract":"<div><div>This study is motivated by a conceptual inconsistency in the physical interpretation of eight-chain hyperelastic theory, which arises from the combined effect of two distinct issues: the use of the marginal projection distribution <span><math><mrow><msub><mrow><mi>p</mi></mrow><mrow><mi>z</mi></mrow></msub><mrow><mo>(</mo><mrow><mo>|</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>z</mi></mrow></msub><mo>|</mo></mrow><mo>)</mo></mrow></mrow></math></span> as a surrogate for the full probability density of end-to-end distance <span><math><mrow><msub><mrow><mi>p</mi></mrow><mrow><mover><mrow><mi>r</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msub><mrow><mo>(</mo><mover><mrow><mi>r</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>)</mo></mrow></mrow></math></span>, and the subsequent reliance on a root mean square (RMS) approximation step in the micro–macro averaging of chain stretch. We first revisit this probabilistic mismatch by reformulating the probability density function of freely-jointed chains (FJCs) in terms of the squared end-to-end vector <span><math><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, thereby restoring consistency on chain-level statistics. Building on this formulation, the micro–macro mapping averaging of chain conformational free energy is constructed directly in terms of <span><math><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, leading to a one-step mean-field approximation that avoids RMS averaging. The modified probability transformation is examined by Monte Carlo sampling at the microscopic level. To account for interchain interactions, <span><math><mi>q</mi></math></span>-mean statistical description of micro tube confinement was incorporated, leading to the appearance of the general invariant <span><math><mrow><msub><mrow><mi>I</mi></mrow><mrow><mi>q</mi></mrow></msub><mo>=</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow><mrow><mi>q</mi></mrow></msubsup><mo>+</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>2</mn></mrow><mrow><mi>q</mi></mrow></msubsup><mo>+</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>3</mn></mrow><mrow><mi>q</mi></mrow></msubsup></mrow></math></span>. The resulting continuum constitutive model is assessed against multiaxial experimental data for several polymer networks, including vulcanized natural rubber, Entec Enflex S4035A thermoplastic elastomer, Tetra-PEG, and isoprene rubber vulcanizate. Comparisons with three existing hyperelastic strain energy formulations, the extended eight-chain, extended tube models, and the four-parameter ”comprehensive” model, demonstrate comparable phenomenological accuracy of the current model while providing a clearer and more consistent micro–macro physical interpretation of model parameters. A parametric study further illustrates how the dimensionless parameters <span><math><mi>n</mi></math></span> and <span><math><mi>q</mi></math></span> govern the shape of the macroscopic stress–strain re","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"314 ","pages":"Article 111366"},"PeriodicalIF":9.4,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-07DOI: 10.1016/j.ijmecsci.2026.111361
Chang-Yeon Gu, Min Hyeok Choi, Min Sang Ju, Dohun Kim, Sung Woo Ma, Tae-Ik Lee, Taek-Soo Kim
{"title":"Nonlinear Warpage Modeling of Dielectric-Controlled Carrier Wafers","authors":"Chang-Yeon Gu, Min Hyeok Choi, Min Sang Ju, Dohun Kim, Sung Woo Ma, Tae-Ik Lee, Taek-Soo Kim","doi":"10.1016/j.ijmecsci.2026.111361","DOIUrl":"https://doi.org/10.1016/j.ijmecsci.2026.111361","url":null,"abstract":"","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"42 1","pages":""},"PeriodicalIF":7.3,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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