Journal of The Mechanics and Physics of Solids最新文献

{"title":"Variational linear comparison estimates for elasto-viscoplastic composites with isotropic phases and microstructures","authors":"Cesar Spadea ,&nbsp;Pedro Ponte Castañeda","doi":"10.1016/j.jmps.2026.106546","DOIUrl":"10.1016/j.jmps.2026.106546","url":null,"abstract":"<div><div>Generalizing Hill’s classical formulation for purely elastic and purely viscoplastic composites, Ponte Castañeda (2025) proposed a variational framework for the time-incremental macroscopic response of elasto-viscoplastic (EVP) composites based on Rayleigh’s least dissipation principle. This framework enabled a consistent extension of the Variational Linear Comparison method (Ponte Castañeda, 1991), yielding estimates for the time-dependent macroscopic response of EVP composites in terms of the constitutive response of comparison linear viscoelastic (LVE) composites. In this approach, the viscosities of the LVE phases correspond to the secant viscosities of the EVP phases, evaluated at the instantaneous values of the second moments of the stress or strain-rate fields in the phases of the LVE comparison composite. In the present work, we leverage the estimates of Lahellec et al. (2024) for the macroscopic response and phase second moments in LVE composites — derived via the correspondence principle from the corresponding estimates of Willis (1977) for purely elastic composites — to generate predictions for EVP composites with isotropic phases and particulate microstructures. The new estimates significantly improve upon earlier results for the same class of EVP composites obtained by <span><span>Ponte Castañeda (2025)</span></span> using alternative LVE approximations. While the previously used estimates for the LVE composite were exact for the macroscopic response, the corresponding second moment predictions were only approximate, leading to inaccuracies for EVP composites with strong nonlinearities and large heterogeneity contrast. Numerical results for various special cases, including compressible non-well-ordered phases, ideally plastic (rate-independent) behavior and cyclic loadings, illustrate the enhanced capabilities of the new estimates.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"211 ","pages":"Article 106546"},"PeriodicalIF":6.0,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146152937","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":"An Energy-Based Physics-Informed Neural Network Framework for Efficient Mesh-free Homogenisation of Architected Metamaterials","authors":"Haolin Li, Menglei Li, Jinshuai Bai, Zahra Sharif Khodaei, M.H. Aliabadi","doi":"10.1016/j.jmps.2026.106542","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106542","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"73 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134448","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":"Sharp-interface cohesive fracture models with consistent bulk energies: Numerical investigations","authors":"A. Rodella ,&nbsp;J.-J Marigo ,&nbsp;C. Maurini ,&nbsp;S. Vidoli","doi":"10.1016/j.jmps.2026.106543","DOIUrl":"10.1016/j.jmps.2026.106543","url":null,"abstract":"<div><div>We investigate sharp-interface cohesive fracture models formulated as energy minimization problems. We argue that models with arbitrary cohesive interfaces are incompatible with linear bulk elasticity, in the sense that they cannot feature solutions in the form of a regular crack with a simple tip. To this end, we provide analytical and numerical solutions for a model problem consisting of a single straight crack under mode-III loading, where we show that the stress magnitude exceeds the cohesive yield threshold in a finite region around the crack tip. Our findings are consistent with the unavailability of existence results for such models, related to the lack of lower semicontinuity of the associated variational problem. In the mathematical literature, lower semicontinuity and existence of solutions is recovered by introducing a relaxed functional combining the cohesive surface energy on the crack set with a bulk behavior comparable to perfect plasticity, where the bulk strength is determined by the maximal allowable traction of the cohesive law. The relaxed energy provides a homogenised macroscopic model of the possible microscopic structuring of a dense distribution of cracks with vanishing displacement jumps. We report numerical simulations in antiplane shear that illustrate that the relaxed model admits an equilibrium solution in the form of straight cracks that capture both crack nucleation and propagation. Cracks emerging from pre-existing flaws and notches exhibit a smooth transition from classical crack tip plasticity solutions near the notch to a propagating cohesive crack accompanied by an elongated zone around the tip where the nonlinear bulk behavior is active and the stress is constant. We discuss how these observations can inform the development of mathematically consistent coupled models with a minimal number of constitutive parameters, highlighting the inconsistencies observed when arbitrarily combining models with different surface and bulk strengths.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"211 ","pages":"Article 106543"},"PeriodicalIF":6.0,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134450","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":"A thermo-mechanically coupled finite-deformation model for freezing-induced damage in soft materials","authors":"Ali Saeedi, Ram Devireddy, Mrityunjay Kothari","doi":"10.1016/j.jmps.2026.106545","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106545","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"293 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134458","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":"Toggling Energy Landscape to Enable Commutative and Non-commutative Responses in Multistable Structures","authors":"Lei Wu, Damiano Pasini","doi":"10.1016/j.jmps.2026.106544","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106544","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"286 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110148","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":"Generalized Configurational Force for Thermoelasticity with Application to Isogeometric Analysis of Thermoelastic Crack Propagation","authors":"Chung-Shuo Lee, Pei-En Chou, Ganesh Subbarayan","doi":"10.1016/j.jmps.2026.106541","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106541","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"58 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110149","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":"Modular Hybrid Machine Learning and Physics-based Potentials for Scalable Modeling of van der Waals Heterostructures","authors":"Hekai Bu, Wenwu Jiang, Penghua Ying, Ting Liang, Zheyong Fan, Wengen Ouyang","doi":"10.1016/j.jmps.2026.106540","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106540","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"32 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110154","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":"Link Statistics of Dislocation Network during Strain Hardening","authors":"Sh. Akhondzadeh, Hanfeng Zhai, Wurong Jian, Ryan B. Sills, Nicolas Bertin, Wei Cai","doi":"10.1016/j.jmps.2026.106533","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106533","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"27 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146089481","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":"A Physically Based Mechanical Model for Mullins Effect in Thermoplastic Polyurethanes","authors":"Samuel C. Lamont, David J. Walters","doi":"10.1016/j.jmps.2026.106532","DOIUrl":"https://doi.org/10.1016/j.jmps.2026.106532","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"54 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071711","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":"Coupled grain-pore fabric evolutions in sheared granular materials: Anisotropy lagging and geometric emergence","authors":"Amiya Prakash Das ,&nbsp;Jidong Zhao ,&nbsp;Thomas Sweijen","doi":"10.1016/j.jmps.2026.106530","DOIUrl":"10.1016/j.jmps.2026.106530","url":null,"abstract":"<div><div>The morphological evolution of pore spaces is a critical yet poorly quantified microstructural determinant of the macroscopic mechanical and hydraulic behavior of granular materials. While the anisotropy of the grain contact network (<em>F_c</em>) is known to dictate material response, the concurrent evolution of pore space anisotropy (<em>F_p</em>) and its coupling with <em>F_c</em> remains inadequately understood. This study employs Minkowski moment tensor analysis within a Discrete Element Method (DEM) framework to bridge this gap. We systematically investigate dense and loose, monodisperse and polydisperse assemblies under cyclic triaxial loading to quantify the dynamic coupling between <em>F_c</em> and <em>F_p</em>. We demonstrate a moderate to strong correlation between <em>F_c</em> and <em>F_p</em>, with a systematic lag in the response of <em>F_p</em> attributed to hierarchical geometric emergence across scales. This lag is constrained by particle-scale free-volume reorganization and its kinematic compatibility with particle motion. Additionally, key pore-scale metrics, including inverse Voronoi cell fractions <span><math><mrow><mo>(</mo><msubsup><mi>ϕ</mi><mi>v</mi><mrow><mo>−</mo><mn>1</mn></mrow></msubsup><mo>)</mo></mrow></math></span>, pore-scale porosity (<em>ϕ_p</em>), and pore shape anisotropy <span><math><mover><mi>β</mi><mo>^</mo></mover></math></span>, are well described by gamma distributions across all packing densities and strain levels. Notably, the scaled <span><math><msubsup><mi>ϕ</mi><mi>v</mi><mrow><mo>−</mo><mn>1</mn></mrow></msubsup></math></span> follows a <em>k</em>-gamma distribution, providing a statistically consistent descriptor for volume fluctuations. A strong correlation is also observed between the average pore shape factor (|<em>β</em>|_<em>avg</em>) and global porosity, suggesting that |<em>β</em>|_<em>avg</em> serves as a geometry-based descriptor linking collective pore deformation to packing density. These findings underscore the utility of the Minkowski tensor approach in capturing 3D fabric evolution and explicitly linking pore- and grain-scale interactions. The quantitative relationships and statistical descriptors presented here provide a new foundation for enhancing constitutive models in geotechnics and powder technology, offering insights relevant to future investigations into permeability evolution and shear band formation.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"210 ","pages":"Article 106530"},"PeriodicalIF":6.0,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071614","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}