Journal of The Mechanics and Physics of Solids最新文献

{"title":"Material Fingerprinting for rapid discovery of hyperelastic models: First experimental validation","authors":"Denisa Martonová ,&nbsp;Ellen Kuhl ,&nbsp;Moritz Flaschel","doi":"10.1016/j.jmps.2025.106463","DOIUrl":"10.1016/j.jmps.2025.106463","url":null,"abstract":"<div><div>Material Fingerprinting is an emerging approach for the rapid discovery of mechanical material models directly from experimental data. By interpreting a material’s response in standardized experiments as its fingerprint, Material Fingerprinting employs pattern recognition to match experimental data against a precomputed database, enabling real-time model discovery. This strategy is both fast and robust, as it avoids solving potentially non-convex optimization problems. Unlike traditional calibration methods, Material Fingerprinting simultaneously selects the most suitable material model and identifies its parameters. Since the fingerprint database is fully controllable, the method guarantees interpretable and physically meaningful models. In previous work, we showed the feasibility of this concept for experiments with homogeneous or heterogeneous deformation fields using synthetically generated data. Here we present the first experimental validation of Material Fingerprinting. We carefully design a fingerprint database for uniaxial tension/compression, equibiaxial tension as well as pure and simple shear experiments. Once computed in an offline phase, this database can be reused for rapid model discovery across diverse experimental datasets. We demonstrate that this single database enables the robust and efficient discovery of hyperelastic strain energy functions to accurately characterize the isotropic mechanical responses of rubber, hydrogel, and brain tissue in less than one second on a standard personal computer. To make this approach openly accessible for rapid material model discovery across laboratories, we release the database and the implementation of Material Fingerprinting as a pip-installable Python package alongside this publication.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106463"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145689701","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":"Bounds on the uniaxial effective complex permittivity tensor of two-phase composites and optimal or near optimal microstructures","authors":"Kshiteej J. Deshmukh ,&nbsp;Graeme W. Milton","doi":"10.1016/j.jmps.2025.106429","DOIUrl":"10.1016/j.jmps.2025.106429","url":null,"abstract":"<div><div>Electromagnetic metamaterials with a uniaxial effective permittivity tensor, characterized by its transverse (<span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span>) and axial (ϵ_∥) components, play a central role in the design of advanced photonic and electromagnetic materials including hyperbolic metamaterials, and biological imaging platforms. Tight bounds on the complex effective permittivity of such metamaterials are critical for predicting and optimizing their macroscopic electromagnetic response. While rigorous tight bounds exist for isotropic two-phase composites, corresponding results for uniaxial composites remain relatively unexplored. In this work, we systematically investigate the attainable range of <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span> and ϵ_∥ in the quasistatic regime for two-phase metamaterials with isotropic homogeneous phases. By analyzing known microgeometries and constructing hierarchical laminates (HLs), we demonstrate that the classical bounds on <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span> are not optimal. We conjecture improved bounds based on numerically fitted circular arcs derived from convex hulls of <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span> values obtained from HLs, and we identify optimal rank-4 HL structures that achieve all points on the conjectured bounds. Additionally, we quantify the correlation between <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span> and ϵ_∥ for fixed volume fractions, and propose a design algorithm to construct HL microstructures achieving prescribed values of <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span>. Leveraging the Cherkaev-Gibiansky transformation and the translation method, we extend recent techniques developed for isotropic composites by Kern-Miller-Milton to derive translation bounds on the uniaxial complex effective permittivity tensor. Using the trace bounds we also numerically obtain the correlated bounds on <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span> when <span><math><msub><mi>ϵ</mi><mo>⊥</mo></msub></math></span> and ϵ_∥ differ by a fixed proportionality constant. Finally, bounds on the sensitivity of the effective permittivity tensor of low-loss composites are obtained and their optimality is shown in two-dimensions. Our results advance the theoretical understanding of uniaxial metamaterials and provide practical tools for the design of tailored anisotropic metamaterials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106429"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145560044","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":"TPMS sheet structures with orthorhombic symmetry: Anisotropic elasticity and energy absorption","authors":"Stephen Daynes","doi":"10.1016/j.jmps.2025.106489","DOIUrl":"10.1016/j.jmps.2025.106489","url":null,"abstract":"<div><div>Triply periodic minimal surface (TPMS) architectures have gained prominence as high-performance cellular structures due to their smooth geometry, load-bearing efficiency, and suitability for additive manufacturing. While prior work has explored TPMS lattices with cubic symmetry, this is the first study to systematically evaluate orthorhombic TPMS lattices using a combined experimental, finite element analysis (FEA), and orientation tensor approach to derive predictive structure–property scaling laws. This study investigates the anisotropic elastic and energy absorption characteristics of four orthorhombic TPMS topologies (CLP, I-6, I-8, and I-9) through a combination of FEA, geometric orientation tensor analysis, and experimental compression testing. Thin-walled TPMS specimens (0.3 mm thickness) were additively manufactured and tested along three orthogonal directions. A novel, interpretable method is proposed to relate directional stiffness and energy absorption to the eigenvalues of orientation tensors derived from surface geometry. The results reveal topology-dependent scaling laws that capture the influence of anisotropy and relative density on mechanical response. Experimental and simulated outcomes show strong agreement, validating the predictive capability of the geometric scaling models. These findings provide new insights into the structure-property relationships of anisotropic shell-based cellular solids, enabling more efficient and targeted design of multifunctional architected cellular materials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106489"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","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}

{"title":"The broad wrinkling landscape of hyperelastic parallelogram-shaped membranes: From wrinkle migration to restabilization and their subsequent reappearance elsewhere","authors":"Mohammad Hosein Nejabatmeimandi ,&nbsp;Francesco Dal Corso","doi":"10.1016/j.jmps.2025.106461","DOIUrl":"10.1016/j.jmps.2025.106461","url":null,"abstract":"<div><div>Wrinkling is a commonly observed out-of-plane instability in membrane structures due to their extremely low bending-to-stretching stiffness ratio. It has been extensively investigated for symmetric membrane geometries and boundary conditions that induce planar non-uniform stress states by preventing the lateral contraction at the edges, and is also known to potentially display self-restabilization. This study investigates an initially flat, parallelogram-shaped hyperelastic membrane, focusing on the effect of the inclination angle that defines its deviation from rectangular geometry. It is shown that wrinkling can occur either centrally or at the two opposite obtuse-angled corners–even for small inclination angles–during stretching with unconstrained lateral contraction, a condition under which the flat configuration for the rectangular counterpart remains always stable. Three distinct evolutions of the wrinkling pattern are numerically identified, all ultimately leading to corner-localized wrinkles. This final state may arise (i) directly, without a prior bifurcation, or after the appearance of central wrinkling that either (ii) restabilizes or (iii) separates and migrates toward the corners. A closed-form expression for the critical wrinkling condition is derived by combining a perturbation approach with an energy-based method in the framework of linear elasticity. This provides an accurate estimate of the onset and pattern of central wrinkling. The present findings reveal new pathways in wrinkling pattern evolution and introduce a novel approach to unconventional boundary-value problems, with potential applications ranging from lightweight structural systems to flexible electronics.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106461"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145689712","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 continuum mechanics approach for the deformation of non-Euclidean origami generated by piecewise constant nematic director fields","authors":"Linjuan Wang ,&nbsp;Fan Feng","doi":"10.1016/j.jmps.2025.106460","DOIUrl":"10.1016/j.jmps.2025.106460","url":null,"abstract":"<div><div>We merge classical origami concepts with active actuation by designing origami patterns whose panels undergo prescribed metric changes. These metric changes render the system non-Euclidean, inducing non-zero Gaussian curvature at the vertices after actuation. Such patterns can be realized by programming piecewise constant director fields in liquid crystal elastomer (LCE) sheets. In this work, we address the geometric design of both compatible reference director patterns and their corresponding actuated configurations. On the reference configuration, we systematically construct director patterns that satisfy metric compatibility across interfaces. We prove the existence and uniqueness of compatible director fields at a vertex for the generic case, up to orthogonal duals. The Gaussian curvature of the actuated vertex is computed based on the compatible director fields. On the actuated configuration, we develop a continuum mechanics framework to analyze the kinematics of non-Euclidean origami. In particular, we fully characterize the deformation spaces of three-fold and four-fold vertices and establish analytical relationships between their deformations and the director patterns. Building on these kinematic insights, we propose rational designs of large director patterns: one based on a quadrilateral tiling with alternating positive and negative actuated Gaussian curvature, and the other combining three-fold and four-fold vertices governed by a folding angle theorem. Remarkably, both designs achieve compatibility in both the reference and actuated states. We also propose a design strategy for active metamaterials based on the periodic non-Euclidean origami. The active metamaterials can have two modes of motions by folding or stimulating. We anticipate that our geometric framework will facilitate the design of non-Euclidean/active origami structures and broaden their application in active metamaterials, soft actuators, and robotic systems.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106460"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145657137","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":"Micromechanical insights into the uniaxial stress-strain behaviour of glassy amorphous polymers through molecular dynamics simulations","authors":"Pramod Kumar Patel,&nbsp;Sumit Basu","doi":"10.1016/j.jmps.2025.106496","DOIUrl":"10.1016/j.jmps.2025.106496","url":null,"abstract":"<div><div>The intrinsic uniaxial stress-strain response of a glassy amorphous polymer exhibits a set of generic features that determine its toughness under monotonic or cyclic loads. Phenomenological constitutive models successfully mimic these generic features and often insightfully allude to their micromechanical origins. On the other hand, atomistic simulations, notwithstanding their well-known limitations, are also successful in capturing these features using a variety of force fields. This motivates us to delve deeper into these simulations and attempt to identify the micromechanical events that synergistically give rise to these very distinctive features. Especially, we study the roles of the evolution of the free volume and the entanglement network formed by the macromolecules. We show that the small-strain response is largely governed by how free volume proliferates in the material. At larger strains, entanglement slips and disentanglement events decide the extent of plastic strain that will accumulate and the reversibility of the material on unloading. The cohesive strength of the non-bonded interactions between monomers and the energy barrier between torsional flips are the most important underlying features of the force field that affect both evolution of free volume and behaviour of the entanglement network. By perturbing these parameters, we can, control the extent of strain softening, hardening, accumulation of plastic strains and reversibility on unloading. The parameters of the force field, which are determined by the macromolecular architecture, can be used to ‘sculpt’ a targeted stress-strain response.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106496"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145845499","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":"Fracture analysis of nonlocally homogenised solids via stochastic gradient estimates embedded in physics-informed neural networks","authors":"Rohit Sinha ,&nbsp;Kolati Heman Sudeep ,&nbsp;Arjun Kaithavalappil,&nbsp;Saikat Sarkar","doi":"10.1016/j.jmps.2025.106458","DOIUrl":"10.1016/j.jmps.2025.106458","url":null,"abstract":"<div><div>Architected materials exhibit rich fracture behaviour, governed by microstructural interactions that are often difficult to capture. To overcome this challenge, we present a length-scale-informed, homogenised continuum framework in which nonlocal interactions are captured through a stochastic gradient estimator (SGE). The method substitutes explicit microstructural resolution with a radius of influence, which represents the communication distance between neighbours in a homogenised medium. This nonlocal continuum is embedded in a physics-informed neural network (PINN), which minimises a nonlocal energy functional involving displacement and phase field damage. PINN is adopted due to its computational efficiency compared to finite-element implementations of nonlocal models. Using two benchmark problems-a single-edge notched plate and a notched plate with an off-centre hole-we demonstrate that the present model recovers classic nonlocal fracture behaviours and reveals new geometric effects. In the notched plate, increasing the interaction radius produces the expected nonlocalisation of strain energy. In the plate with a hole, however, the same nonlocal mechanism leads to a geometry-induced shift in crack nucleation at the curved hole boundary, accompanied by a counterintuitive reversal of the expected stiffness reduction. This behaviour arises from curvature-assisted, nonlocal stress redistribution that cannot be produced by a local formulation. Dimensional benchmarking against existing damage models confirms the physical consistency and accuracy of the proposed approach. Overall, the study indicates that a homogenised nonlocal continuum, when coupled with an efficient solver, can capture both standard and nonintuitive fracture phenomena without explicit microstructural modelling.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106458"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145689697","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":"Peierls-Nabarro modeling of dislocations in high-entropy alloys","authors":"Xin Liu ,&nbsp;Terrence P. Moran ,&nbsp;Bastien F. G. Aymon ,&nbsp;W. A. Curtin","doi":"10.1016/j.jmps.2025.106457","DOIUrl":"10.1016/j.jmps.2025.106457","url":null,"abstract":"<div><div>The Peierls-Nabarro (PN) framework for modeling of dislocations is adapted and evaluated for application to high-entropy alloys. Solute-dislocation interactions in the complex alloys are introduced rigorously within elasticity theory. Detailed studies are performed on model 1/2⟨111⟩{110} edge dislocations in the BCC NbTaV high-entropy alloy. Key findings are that: (i) solute misfit stresses dominate the strengthening while fluctuations in the generalized stacking fault energy (GSFE) are negligible; (ii) the misfit stresses cannot be accurately measured using the atomic virial stress; (iii) the core spreading influences the alloy strength; (iv) the PN model using the atomistically-measured GSFE predicts a core narrower than measured atomistically; (v) correlations in atomic stresses have moderate influences on the distribution and spacing of energy barriers at the critical length scale but a small effect on the yield stress, and (vi) with increasing dislocation line length the yield stress using uncorrelated stresses converges quickly but to a value much lower than that found in direct atomistic stresses at 1100Å. Specifically, for segments at the theoretical characteristic length <em>ζ_c</em> ≈ 24Å, the PN model captures the energy landscape encountered by a gliding dislocation in good agreement with atomistic Nudged Elastic Band (NEB) calculations on the same atomistic realizations when the atomistic GSFE is used. Comparisons of the energy barrier distribution and barrier spacing across many simulations show reasonable agreement with NEB. Using a GSFE fitted to match the atomistic core spreading, however, the PN energy landscape is smoother. Using the atomistic GSFE, direct simulations of the <span><math><mrow><mi>T</mi><mo>=</mo><mn>0</mn></mrow></math></span>K stress to achieve dislocation glide are also in good overall agreement with NEB results. Lower strengths are found using the fitted GSFE due to the larger barrier spacing. Strengths with and without the true spatial correlations in the misfit stresses are slightly different. PN predictions of strength of longer dislocation lines show a decrease in strength but saturating at a length of  ≈ 100Å to a value notably lower than atomistic simulations. This very detailed study of the computationally-efficient PN model for HEAs shows that it is viable for the studying dislocations in random alloys but remains imperfect. Nonetheless, the PN model provides significant flexibility to quantitatively and parametrically investigate the role of many different material parameters on many features of alloy strengthening, and enables future incorporation of additional complex metallurgical features such as short-range-order, clustering, and precipitation.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106457"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145657138","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":"On dissipative effects in thermo-electrically coupled systems: Hill–Mandel-type homogenisation, asymptotic expansions and two-scale convergence","authors":"D. Güzel ,&nbsp;D. Wiedemann ,&nbsp;T. Kaiser ,&nbsp;A. Menzel","doi":"10.1016/j.jmps.2025.106427","DOIUrl":"10.1016/j.jmps.2025.106427","url":null,"abstract":"<div><div>Accurately predicting the macroscopic behaviour of heterogeneous materials, particularly in thermo-electrically coupled systems, remains a challenging problem in materials science and engineering. Against this background, this study presents a comprehensive framework for the homogenisation of electrical conductors subject to strongly coupled thermo-electrical processes in (quasi-)stationary settings, with particular focus lying on Joule heating and temperature-dependent electrical conductivities. The proposed methodology combines analytical homogenisation, asymptotic expansions and Hill–Mandel-type multiscale techniques. In doing so, both, a natural physical interpretation and a rigorous mathematical justification of the governing set of effective macroscopic field equations are provided. Representative boundary value problems in two- and three dimensional settings are eventually studied to validate the effectiveness of these methods in capturing the complex behaviour of heterogeneous thermo-electric materials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106427"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145657139","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":"Intergranular creep damage in an austenitic stainless steel: A coupled phase field-crystal plasticity study","authors":"Lifeng Gan,&nbsp;Esteban P. Busso,&nbsp;Chao Ling,&nbsp;Dongfeng Li","doi":"10.1016/j.jmps.2025.106401","DOIUrl":"10.1016/j.jmps.2025.106401","url":null,"abstract":"<div><div>A novel coupled phase field-crystal plasticity framework is proposed to study intergranular damage during creep in a commercial austenitic stainless steel (HR3C) exposed to different service times. In the formulation, the phase field order parameter, which represents a scalar measure of damage, is driven by both the elastic energy and the stored energy associated with the local dislocation structure. Detailed grain boundary analyses revealed that the primary mechanism responsible for the initiation of creep damage was the nucleation of microcavities at random high-angle grain boundaries, where carbides and <span><math><mi>σ</mi></math></span>-FeCr phases tend to precipitate during service. A novel approach is proposed to account for the critical separation work of grain boundaries (GBs) of either tilt, twist, or mixed tilt–twist character, and it is made to depend on both the surface energy of the newly created intergranular microcavity and the energy of the GB given by an extended Read–Shockley model. The proposed framework relies on representative volume elements of EBSD-based digitally reconstructed microstructures to obtain predictions of creep deformation, damage and ultimate rupture, which were found to be consistent with experimental data. Experimentally observed microcavity sites were also successfully predicted and found to nucleate preferentially at random high angle GBs of mixed tilt–twist character with misorientations ranging from 50° to 60°. Furthermore, good agreement was found between the trends exhibited by the measured and predicted GB cavitation ratios with GB misorientation angle.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106401"},"PeriodicalIF":6.0,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405054","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}