Pub Date : 2025-12-20DOI: 10.1016/j.jmps.2025.106491
Yan Yang, Qifang Zhang, Junjie Liu, Guozheng Kang, Tiejun Wang
{"title":"Effect of water redistribution on the fracture of hydrogel in mechanochemical equilibrium state","authors":"Yan Yang, Qifang Zhang, Junjie Liu, Guozheng Kang, Tiejun Wang","doi":"10.1016/j.jmps.2025.106491","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106491","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"4 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145796195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inverse Elastica: A Theoretical Framework for Inverse Design of Morphing Slender Structures","authors":"JiaHao Li, Weicheng Huang, Yinbo Zhu, Luxia Yu, Xiaohao Sun, Mingchao Liu, HengAn Wu","doi":"10.1016/j.jmps.2025.106488","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106488","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"22 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145796196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-20DOI: 10.1016/j.jmps.2025.106489
Stephen Daynes
{"title":"TPMS sheet structures with orthorhombic symmetry: anisotropic elasticity and energy absorption","authors":"Stephen Daynes","doi":"10.1016/j.jmps.2025.106489","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106489","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"20 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145796198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-18DOI: 10.1016/j.jmps.2025.106484
Ranny R. Zhao, Kevin T. Turner, John L. Bassani
{"title":"Resistance to interface sliding and effects on detachment of directly-bonded pillars","authors":"Ranny R. Zhao, Kevin T. Turner, John L. Bassani","doi":"10.1016/j.jmps.2025.106484","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106484","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"1 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-18DOI: 10.1016/j.jmps.2025.106477
Pradeep K. Bal, Adam Ouzeri, Marino Arroyo
{"title":"Continuum theory for the mechanics of curved epithelial shells by coarse-graining an ensemble of active gel cellular surfaces","authors":"Pradeep K. Bal, Adam Ouzeri, Marino Arroyo","doi":"10.1016/j.jmps.2025.106477","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106477","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"17 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-18DOI: 10.1016/j.jmps.2025.106485
Qishan Huang, Zhenghao Zhang, Haofei Zhou, Wei Yang
{"title":"Multiscale modeling on evolving grain boundary network in polycrystals incorporating triple junction migration","authors":"Qishan Huang, Zhenghao Zhang, Haofei Zhou, Wei Yang","doi":"10.1016/j.jmps.2025.106485","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106485","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"172 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-16DOI: 10.1016/j.jmps.2025.106479
Ye Feng , Lu Hai
This paper develops a novel class of phase-field cohesive fracture models that naturally incorporate strong displacement discontinuities within a continuum framework. We derive the nonhomogeneous analytical solutions in one dimension (1D), demonstrating for the first time the emergence of a Dirac δ-function-type strain in phase-field models from crack nucleation to complete rupture, without requiring the limit of vanishing phase-field characteristic length ℓ. This enables the direct representation of discrete crack displacement jumps. We demonstrate the instability of homogeneous solutions through a second-order stability analysis, further highlighting the significance of the derived singular nonhomogeneous solutions. The proposed approach overcomes the limitation of conventional phase-field methods in capturing strong discontinuities, while retaining their advantages-such as mesh objectivity and the ability to handle complex crack topologies-due to the retained diffusive phase-field distribution. Furthermore, the implementation of the cohesive law into the phase-field model can be achieved in a more straightforward manner. The model’s effectiveness beyond 1D is validated by 2D and 3D numerical examples. These developments may open new possibilities for: (i) multiscale fracture analysis where competing length scales coexist, and (ii) multiphysics problems requiring precise kinematics of crack opening.
{"title":"Phase-field cohesive fracture models with strong displacement discontinuities","authors":"Ye Feng , Lu Hai","doi":"10.1016/j.jmps.2025.106479","DOIUrl":"10.1016/j.jmps.2025.106479","url":null,"abstract":"<div><div>This paper develops a novel class of phase-field cohesive fracture models that naturally incorporate strong displacement discontinuities within a continuum framework. We derive the nonhomogeneous analytical solutions in one dimension (1D), demonstrating <em>for the first time</em> the emergence of a Dirac <em>δ</em>-function-type strain in phase-field models from crack nucleation to complete rupture, without requiring the limit of vanishing phase-field characteristic length ℓ. This enables the direct representation of discrete crack displacement jumps. We demonstrate the instability of homogeneous solutions through a second-order stability analysis, further highlighting the significance of the derived singular nonhomogeneous solutions. The proposed approach overcomes the limitation of conventional phase-field methods in capturing strong discontinuities, while retaining their advantages-such as mesh objectivity and the ability to handle complex crack topologies-due to the retained diffusive phase-field distribution. Furthermore, the implementation of the cohesive law into the phase-field model can be achieved in a more straightforward manner. The model’s effectiveness beyond 1D is validated by 2D and 3D numerical examples. These developments may open new possibilities for: (i) multiscale fracture analysis where competing length scales coexist, and (ii) multiphysics problems requiring precise kinematics of crack opening.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106479"},"PeriodicalIF":6.0,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-13DOI: 10.1016/j.jmps.2025.106480
Hio Konishi , Seishiro Matsubara , So Nagashima , Dai Okumura
In this study, we refine the strain energy function of fiber-reinforced hyperelastic materials by adding a unique nonlinear term with a negative exponent on , i.e., , where is the pseudo-invariant of the right Cauchy–Green tensor, defined as the squared stretch in a fiber direction. This additional term is comprehensively tested when combined with the simple linear form or the conventional quadratic form . The conventional quadratic form causes unphysical material instability under principal stretches, where the instantaneous stiffness changes negatively in certain deformation regions. Using the negative exponent on can prevent this instability. The specific linear combination, , is unconditionally free from the instability under principal stretches. The instantaneous stiffness is linearly enhanced by fiber reinforcement, unlike the complex responses by a quadratic combination. This refinement is not incompatible with the physical interpretation of the material instability under simple shear deformation. A comprehensive understanding is achieved through the sufficient condition for derived from the strong ellipticity inequality.
{"title":"Using a negative exponent to prevent unphysical instability in fiber-reinforced hyperelastic materials","authors":"Hio Konishi , Seishiro Matsubara , So Nagashima , Dai Okumura","doi":"10.1016/j.jmps.2025.106480","DOIUrl":"10.1016/j.jmps.2025.106480","url":null,"abstract":"<div><div>In this study, we refine the strain energy function of fiber-reinforced hyperelastic materials by adding a unique nonlinear term with a negative exponent on <span><math><msub><mi>I</mi><mn>4</mn></msub></math></span>, i.e., <span><math><mrow><msubsup><mi>I</mi><mn>4</mn><mrow><mo>−</mo><mi>M</mi></mrow></msubsup><mo>−</mo><mn>1</mn><mspace></mspace><mrow><mo>(</mo><mi>M</mi><mo>></mo><mn>0</mn><mo>)</mo></mrow></mrow></math></span>, where <span><math><msub><mi>I</mi><mn>4</mn></msub></math></span> is the pseudo-invariant of the right Cauchy–Green tensor, defined as the squared stretch in a fiber direction. This additional term is comprehensively tested when combined with the simple linear form <span><math><mrow><mo>(</mo><mrow><msub><mi>I</mi><mn>4</mn></msub><mo>−</mo><mn>1</mn></mrow><mo>)</mo></mrow></math></span> or the conventional quadratic form <span><math><msup><mrow><mo>(</mo><mrow><msub><mi>I</mi><mn>4</mn></msub><mo>−</mo><mn>1</mn></mrow><mo>)</mo></mrow><mn>2</mn></msup></math></span>. The conventional quadratic form causes unphysical material instability under principal stretches, where the instantaneous stiffness changes negatively in certain deformation regions. Using the negative exponent on <span><math><msub><mi>I</mi><mn>4</mn></msub></math></span> can prevent this instability. The specific linear combination, <span><math><mrow><mrow><mo>(</mo><mrow><msub><mi>I</mi><mn>4</mn></msub><mo>−</mo><mn>1</mn></mrow><mo>)</mo></mrow><mo>+</mo><mrow><mo>(</mo><mrow><msubsup><mi>I</mi><mn>4</mn><mrow><mo>−</mo><mi>M</mi></mrow></msubsup><mo>−</mo><mn>1</mn></mrow><mo>)</mo></mrow><mo>/</mo><mi>M</mi></mrow></math></span>, is unconditionally free from the instability under principal stretches. The instantaneous stiffness is linearly enhanced by fiber reinforcement, unlike the complex responses by a quadratic combination. This refinement is not incompatible with the physical interpretation of the material instability under simple shear deformation. A comprehensive understanding is achieved through the sufficient condition for <span><math><msub><mi>I</mi><mn>4</mn></msub></math></span> derived from the strong ellipticity inequality.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106480"},"PeriodicalIF":6.0,"publicationDate":"2025-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145760384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-13DOI: 10.1016/j.jmps.2025.106481
Baixi Chen, Alessandro Fascetti
Concrete failure mechanics exhibit significant variability at the macroscopic scale, which is predominantly driven by stochasticity at the spatial scale of the coarse aggregate particles, generally referred to as mesoscopic scale. However, mesoscale material parameters are difficult to estimate, making uncertainty quantification a fundamental challenge. To address this limitation, a data-driven multiscale inverse inference framework is proposed to quantify the stochastic mesoscale behavior by integrating both mesoscale and macroscale observations. In this framework, a stochastic data-driven model using a hybrid Proper Orthogonal Decomposition–Gaussian Process Regression (POD-GPR) algorithm is first developed based on data generated by mesoscale Lattice Discrete Particle Model (LDPM) simulations. Leveraging this efficient data-driven model, a novel multiscale Bayesian inverse inference method is proposed to infer the stochastic distributions of the mesoscale features. When applied to experimental data, the proposed framework successfully captures the stochastic distributions of mesoscale material parameters, reproduces macroscale responses, and outperforms conventional single-scale Bayesian inference approaches. Additionally, SHapley Additive exPlanations (SHAP) are integrated to further interpret the effect of mesoscale stochastic material behavior on macroscale uncertainty, offering valuable insights for the accuracy improvement of LDPM simulations and future mesoscale-level optimization to achieve more robust macroscale performance.
{"title":"Stochastic data-driven inference of mesoscale lattice discrete particle model parameters via multiscale observations","authors":"Baixi Chen, Alessandro Fascetti","doi":"10.1016/j.jmps.2025.106481","DOIUrl":"10.1016/j.jmps.2025.106481","url":null,"abstract":"<div><div>Concrete failure mechanics exhibit significant variability at the macroscopic scale, which is predominantly driven by stochasticity at the spatial scale of the coarse aggregate particles, generally referred to as mesoscopic scale. However, mesoscale material parameters are difficult to estimate, making uncertainty quantification a fundamental challenge. To address this limitation, a data-driven multiscale inverse inference framework is proposed to quantify the stochastic mesoscale behavior by integrating both mesoscale and macroscale observations. In this framework, a stochastic data-driven model using a hybrid Proper Orthogonal Decomposition–Gaussian Process Regression (POD-GPR) algorithm is first developed based on data generated by mesoscale Lattice Discrete Particle Model (LDPM) simulations. Leveraging this efficient data-driven model, a novel multiscale Bayesian inverse inference method is proposed to infer the stochastic distributions of the mesoscale features. When applied to experimental data, the proposed framework successfully captures the stochastic distributions of mesoscale material parameters, reproduces macroscale responses, and outperforms conventional single-scale Bayesian inference approaches. Additionally, SHapley Additive exPlanations (SHAP) are integrated to further interpret the effect of mesoscale stochastic material behavior on macroscale uncertainty, offering valuable insights for the accuracy improvement of LDPM simulations and future mesoscale-level optimization to achieve more robust macroscale performance.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106481"},"PeriodicalIF":6.0,"publicationDate":"2025-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145760442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2025-12-12DOI: 10.1016/j.jmps.2025.106478
Xin Liu , Hyunsoo Lee , Yang Li , Liam Myhill , David Rodney , Pierre-Antoine Geslin , Nikhil Chandra Admal , Giacomo Po , Enrique Martinez , Yinan Cui
Multi-principal element alloys (MPEAs) continue to attract considerable attention. However, one fundamental question regarding their plasticity remains far from well understood, namely, how the nanoscale heterogeneity and chemical short-range order (SRO) control dislocation motion and plasticity. Different from previous studies incorporating statistical variations of the energy landscape into full dislocation dynamics, the current work proposes an innovative atomistically informed partial dislocation dynamics (PDD) method, which directly considers the spatially-correlated non-uniform planar fault energy (PFE) at the atomic scale, and at the same time benefits from the larger temporal and spatial scales of the dislocation dynamics methods. Through systematic analysis, we find that the PFE field exhibits a negative correlation along the atomic slip direction, which reduces the critical stress required for dislocation motion in that direction. In contrast, the correlation characteristics along other directions can be approximated as uncorrelated noise, which also contributes to strengthening. In addition, it is found that SRO only slightly enhances the correlation strength along certain crystallographic directions, while it weakens the degree of negative correlation along the slip direction. Overall, the increase in the mean PFE induced by SRO significantly contributes to the strengthening of the dislocation depinning transition. The proposed model provides new opportunities for designing MPEAs with tailored macroscopic mechanical properties by manipulating their atomic distribution and spatial correlations.
{"title":"Atomistically informed partial dislocation dynamics of multi-principal element alloys","authors":"Xin Liu , Hyunsoo Lee , Yang Li , Liam Myhill , David Rodney , Pierre-Antoine Geslin , Nikhil Chandra Admal , Giacomo Po , Enrique Martinez , Yinan Cui","doi":"10.1016/j.jmps.2025.106478","DOIUrl":"10.1016/j.jmps.2025.106478","url":null,"abstract":"<div><div>Multi-principal element alloys (MPEAs) continue to attract considerable attention. However, one fundamental question regarding their plasticity remains far from well understood, namely, how the nanoscale heterogeneity and chemical short-range order (SRO) control dislocation motion and plasticity. Different from previous studies incorporating statistical variations of the energy landscape into full dislocation dynamics, the current work proposes an innovative atomistically informed partial dislocation dynamics (PDD) method, which directly considers the spatially-correlated non-uniform planar fault energy (PFE) at the atomic scale, and at the same time benefits from the larger temporal and spatial scales of the dislocation dynamics methods. Through systematic analysis, we find that the PFE field exhibits a negative correlation along the atomic slip direction, which reduces the critical stress required for dislocation motion in that direction. In contrast, the correlation characteristics along other directions can be approximated as uncorrelated noise, which also contributes to strengthening. In addition, it is found that SRO only slightly enhances the correlation strength along certain crystallographic directions, while it weakens the degree of negative correlation along the slip direction. Overall, the increase in the mean PFE induced by SRO significantly contributes to the strengthening of the dislocation depinning transition. The proposed model provides new opportunities for designing MPEAs with tailored macroscopic mechanical properties by manipulating their atomic distribution and spatial correlations.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106478"},"PeriodicalIF":6.0,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}