Journal of The Mechanics and Physics of Solids最新文献

{"title":"Hydrogen embrittlement: Modelling material degradation and computational issues","authors":"S. Xenos ,&nbsp;I. Papadioti ,&nbsp;E. Kamoutsi ,&nbsp;G.N. Haidemenopoulos ,&nbsp;P. Sofronis ,&nbsp;N. Aravas","doi":"10.1016/j.jmps.2025.106486","DOIUrl":"10.1016/j.jmps.2025.106486","url":null,"abstract":"<div><div>A damage mechanics constitutive model for the simulation of hydrogen embrittlement has been developed. The model builds on the “modified Bai-Wierzbicki” (MBW) model (Lian et al., 2013; Wu et al., 2017) and incorporates the effects of hydrogen on the mechanical behavior of steels. The proposed model accounts for hydrogen diffusion, transient trapping and detrapping kinetics, as well as for the effect of hydrogen on material softening and fracture through the hydrogen-enhanced-plasticity mediated decohesion concept (Nagao et al., 2018). Criteria for both ductile and quasi-cleavage failure are considered and implemented independently. The mathematical character of the incremental elastoplastic problem is studied in detail. It is shown that hydrogen-induced softening may lead to loss of ellipticity of the incremental problem, so that weak solutions with discontinuous velocity gradients become possible; this is known to lead to mesh-dependent finite element solutions. To overcome this difficulty, a viscoplastic regularization of the problem is introduced, which restores the ellipticity of the incremental problem and removes the undesired mesh-dependence of finite element solutions. A methodology for the numerical integration of the damage constitutive equations is presented. A discussion of the thermo-mechanical analogy for the coupled stress-analysis–hydrogen-diffusion problem is given, and several issues related to the use of ABAQUS for the simulation of hydrogen embrittlement phenomenon are addressed. Finite element solutions are developed for the problem of plastic flow localization in plane strain tension, and the problem of uniaxial tension of grade X65 pipeline steel round specimens, both in ambient air and in hydrogen under pressure.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106486"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145813943","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":"Interfacial evolution explains the complex swelling-shrinkage responses of porous materials from vacuum-dry to full liquid saturation","authors":"Mohammadali Behboodi,&nbsp;Yida Zhang","doi":"10.1016/j.jmps.2025.106425","DOIUrl":"10.1016/j.jmps.2025.106425","url":null,"abstract":"<div><div>Adsorption-induced swelling occurs in a wide spectrum of natural and engineered porous materials. A key underlying mechanism is the monotonic reduction of solid-fluid surface energy upon fluid adsorption, which lowers the contractive adsorption stress and causes the porous skeleton to swell (Bangham and Fakhoury, 1928). Some mesoporous materials, however, deviate from the monotonic swelling pattern predicted by this mechanism, exhibiting an abrupt shrinkage at intermediate adsorbate partial pressures before swelling resumes and continues to full saturation. This behavior is commonly attributed to capillary condensation of the adsorbate from the vapor to the liquid phase within the pores. Understanding the stresses and the shrinkage induced by capillary condensation is critical in various industrial applications including micro-/nanofabrication, geotechnical engineering in collapsible soils, and sorption-driven actuation technologies. This work aims to develop a unified poromechanics theory that captures the full sequence of adsorption-induced deformation, including initial swelling, contraction during capillary condensation, and resumed expansion near full saturation. The formulation begins with a thermodynamic analysis of an unsaturated deformable porous solid, acknowledging the energetics of the solid-fluid (<em>sl</em>), solid-vapor (<em>sv</em>), and liquid-vapor (<em>lv</em>) interfaces. The resulting free energy balance permits the simultaneous derivation of the liquid retention characteristics curve and the coupled mechanical effects driven by adsorption and partial saturation. Within this framework, two strategies for constructing constitutive relations are examined: one explicitly resolves the dynamic evolution of <em>sl-sv-lv</em> interfacial areas to emphasize the underlying physics, while the other partially lumps the surface energies into a macroscopic capillary potential to facilitate model calibration using standard laboratory tests. The models are evaluated using datasets from two markedly different solid-fluid systems: N₂ gas adsorption on a hierarchical porous silica at 77 K and water adsorption on a carbon xerogel at 298 K. Both approaches effectively capture the complex, non-monotonic strain isotherms exhibited by the adsorbent. The adsorption-desorption hysteresis is also addressed in a thermodynamically consistent framework. The proposed theory demonstrates both robustness and unifying power in explaining the complex strain isotherms of porous materials along adsorption and desorption paths, covering the entire spectrum from vacuum-dry to fully liquid-saturated states.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"207 ","pages":"Article 106425"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145545472","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":"Stress dependence of the chemical potential of lithium in a silicon electrode","authors":"Anh Tuan Le ,&nbsp;Xavier Bruant ,&nbsp;Ngoc Tram Phung ,&nbsp;François Ozanam ,&nbsp;Michel Rosso ,&nbsp;Laurent Guin","doi":"10.1016/j.jmps.2025.106421","DOIUrl":"10.1016/j.jmps.2025.106421","url":null,"abstract":"<div><div>We report <em>operando</em> measurements and concurrent modeling of the stress dependence of the chemical potential of lithium in a silicon electrode. An experimental study is carried out on hydrogenated amorphous silicon thin films in which the electrode stress state is modified <em>operando</em> during electrochemical lithiation and delithiation by applying an external mechanical load. During galvanostatic cycling, the electrode is periodically subjected to a tensile strain, inducing stress variations that are reflected in voltage changes. The measured stress-induced voltage changes are interpreted using a well-established chemomechanical model of lithium insertion in silicon. Comparison of voltage measurements with model predictions allows us to determine the concentration-dependent Young’s modulus (from 29 GPa to 26 GPa with increasing lithium content) and some of the viscoplastic parameters of lithiated silicon. The calibrated model shows good predictive capability when applied to lithiation cycles performed at a C-rate different from that of the calibration cycle. However, it shows limitations in explaining voltage changes under delithiation. These results show that thermodynamically-consistent chemomechanical models of lithiation not only adequately describe the effect of lithium insertion and deinsertion on stress, as already shown in the literature, but also capture the reverse effect of stress on lithium chemical potential in silicon. In this respect, this work opens up new perspectives for the quantitative validation and calibration of existing diffusion-deformation theories, notably by highlighting their possible limitations.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"207 ","pages":"Article 106421"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145546297","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":"Mechanical instabilities and snapping phenomena in helical rods with perversion","authors":"Émilien Dilly ,&nbsp;Sébastien Neukirch ,&nbsp;Julien Derr ,&nbsp;Williams Brett ,&nbsp;Dražen Zanchi","doi":"10.1016/j.jmps.2025.106402","DOIUrl":"10.1016/j.jmps.2025.106402","url":null,"abstract":"<div><div>The mechanical instabilities of clamped helical elastic rods under controlled rotation and extension, featuring perversion, are studied experimentally, numerically and theoretically. Perversion appears at a winding lower than the intrinsic one. When the extension and winding are varied, the perversion is involved in three main instabilities. They can all be identified visually as abrupt qualitative modifications of the conformation. Singularities in the axial force and torque acting on the clamps are observed at critical winding and/or extension. (i) Transitioning from a pure helix to a configuration with perversion (and vice versa) is accompanied by a snapping instability. (ii) At zero net turns, the rod undergoes a writhing bifurcation from a straight to a writhed configuration. (iii) The perversion jumps to self-contact at critical extension. While the transitions (i) and (iii) are subcritical bifurcations, the writhing bifurcation is continuous and supercritical. The singularity at the creation of the perversion is reproduced numerically by incorporating clamping effects within path-following methods. A shooting technique, path-following method and finite element simulations are employed to assess the stability of the perversion and the associated snapping towards self-contact.An analogy with first-order phase transitions is discussed.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"207 ","pages":"Article 106402"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145461549","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":"Hydrodynamics of stresses and pressures in saturated and unsaturated deformable porous media","authors":"Yanni Chen ,&nbsp;Zhongxuan Yang ,&nbsp;Itai Einav","doi":"10.1016/j.jmps.2025.106419","DOIUrl":"10.1016/j.jmps.2025.106419","url":null,"abstract":"<div><div>Stresses and pressures are used to represent the hydromechanical state of deformable porous media. Past formulations often adopt the effective stress principle, usually in an empirical and energetically inconsistent way. Using the rigorous hydrodynamic procedure, this study pursues an alternative energy-consistent formulation for the full characterisation of both saturated and unsaturated porous materials. An elastic stress is consistently linked to its energy-conjugated elastic strain and, in the absence of viscous stress, has a structure that was previously interpreted as an effective stress. Here, it is emphasised that this similarity does not imply that the elastic stress is ‘effective’ in the classical sense, namely that it can replace total stress in dry soils to represent the mechanical behaviour of saturated or unsaturated soils. The dependence of the elastic stress on the deformability of the solid is incorporated constitutively using a general elastic strain energy of pressure- and density-dependent media, excluding energy costs from solid density changes due to volumetric elastic straining. By adopting the resulting internal energy that is convex for physically realistic porous materials, the proposed formulation yields a rigorous quantification of the elastic stress, and the pressures of the air, water, and solid required for characterising saturated and unsaturated soils, including the Biot stress correction coefficient for deformable porous media at variable saturation. The formulation also reveals the intrinsic dependence of the stress coefficients on material elasticity and the characteristics of water retention responses.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"207 ","pages":"Article 106419"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145519062","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":"Using a negative exponent to prevent unphysical instability in fiber-reinforced hyperelastic materials","authors":"Hio Konishi ,&nbsp;Seishiro Matsubara ,&nbsp;So Nagashima ,&nbsp;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>&gt;</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":"2026-02-01","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}

{"title":"Phase-field cohesive fracture models with strong displacement discontinuities","authors":"Ye Feng ,&nbsp;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":"2026-02-01","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}

{"title":"Effects of multiscale substructures on the effective behavior and field statistics of porous materials","authors":"Shuvrangsu Das","doi":"10.1016/j.jmps.2025.106411","DOIUrl":"10.1016/j.jmps.2025.106411","url":null,"abstract":"<div><div>This work investigates the effects of multiscale substructure on the mechanical response of porous materials. First, we consider porous materials consisting of two populations of cylindrical pores embedded in an incompressible anisotropic viscous matrix and obtain analytical estimates for the overall response and field statistics under plane-strain loading in transverse plane. We demonstrate that the effective bulk viscosity of three-scale porous materials is lower compared to that of two-scale porous materials, whereas the effective shear viscosity remains unaffected. However, the stress and strain-rate fields become substantially more heterogeneous because of the multiscale substructure, with the enhancement increasing with the anisotropy of the viscous matrix, the total pore volume fraction, and the relative volume fraction of large and small pores. Next, we consider porous polycrystals in which the pores of two populations are distributed in a polycrystalline material composed of anisotropic viscous grains. Depending on the relative sizes of the pores to the grains, three types of porous polycrystals are considered: porous polycrystals containing intergranular pores and voids; porous polycrystals with porous grains and intergranular pores; and porous polycrystals with porous grains and voids. As before, the overall deviatoric response remains largely independent of the relative sizes of pores and grains, but the polycrystals containing porous grains show a softer dilatational response than the other two types of porous polycrystals. Moreover, the polycrystals consisting of intragranular pores exhibit substantially more heterogeneity of the stress and strain-rate fields, compared to polycrystals containing only voids or intergranular pores. While this work focuses on multiscale porous viscous materials, the framework to derive the overall response and field statistics is quite general and, with an appropriate linearization scheme, it can be extended to multiscale porous viscoplastic materials. In this work, however, we considered porous materials with anisotropic viscous phases and focused on uncovering the effects of multiscale substructures, which are found to significantly influence the field statistics of porous materials with strongly anisotropic phases.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"207 ","pages":"Article 106411"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145434316","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 thermo-chemo-mechanical modeling of reactive solids: Applications to thermochemical energy storage materials","authors":"Srivatsa Bhat Kaudur,&nbsp;Claudio V. Di Leo","doi":"10.1016/j.jmps.2025.106448","DOIUrl":"10.1016/j.jmps.2025.106448","url":null,"abstract":"<div><div>A continuum-scale thermo-chemo-mechanical modeling framework is developed to investigate the multiphysics behavior of thermochemical energy storage (TES) materials undergoing hydration and dehydration during thermal cycling. The formulation integrates species diffusion, chemical reaction kinetics, heat generation/transport, and mechanical deformation within a unified theoretical framework to resolve spatial and temporal evolution of species concentration, reaction progress, temperature, and stress across material domains. A series of non-dimensional parametric studies quantifies the influence of key material parameters, including thermal conductivity, diffusivity, and reaction kinetics, on transformation dynamics, revealing critical interdependencies among physical processes that govern TES performance. To illustrate the capabilities of the framework, simulations of representative potassium carbonate pellets are presented with constitutive models and material properties adopted from the literature. In order to isolate chemo-thermal effects and facilitate comparison with fully coupled simulations, initial case studies focus on pellet hydration/dehydration without mechanical coupling, demonstrating the predictive capability of the model in capturing chemo-thermal gradients and transient performance. Subsequently, a fully coupled simulation is presented to explicitly illustrate the influence of mechanical stresses on the progression of the reaction. Mechanical stress can alter local chemical equilibrium conditions, thereby enhancing or suppressing hydration and dehydration reactions. By systematically accounting for interactions between stress, reaction pathways, and transport phenomena, this framework enables a mechanistic understanding of the dynamic interplay of physical processes that govern energy storage efficiency and material reliability, ultimately supporting the design of more robust and high-performance TES systems.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106448"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145689704","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":"Shell-lattice metamaterials with intrinsic contact stabilization for exceptional mechanical performance and nonlinear stability","authors":"Peijie Zhang ,&nbsp;Xueyan Chen ,&nbsp;Penghui Yu ,&nbsp;Kun Zhao ,&nbsp;Hang Yin ,&nbsp;Changguo Wang ,&nbsp;Huifeng Tan ,&nbsp;Muamer Kadic","doi":"10.1016/j.jmps.2025.106467","DOIUrl":"10.1016/j.jmps.2025.106467","url":null,"abstract":"<div><div>Although lattice mechanical metamaterials offer low weight and tailorable properties, they face a fundamental barrier to adoption at low relative densities: optimising elastic-plastic performance usually results in reduced buckling resistance (nonlinear stability). Here, we present a novel shell-lattice metamaterial design methodology that eliminates the need to compromise between high yield strength and nonlinear stability at low relative densities. This methodology also provides high specific stiffness and high energy absorption. Our design features seamlessly integrated elliptical hollow struts and hollow spherical nodes. Leveraging a stretching-dominated mechanism augmented by contact-enhanced stabilisation, the architecture provides compensatory reinforcement under large deformations. We numerically investigate and experimentally validate the influence of key geometrical ratios on the mechanical properties. Crucially, elastic isotropy can be achieved through parameter optimisation, and broad tenability enables customised anisotropic elastic responses for diverse applications. Across relative densities ranging from 0.01 to 0.5, our proposed shell lattices demonstrate consistent superiority over conventional truss and shell lattices of equal density. At a relative density of 0.1, the designs deliver a 5 % rise in Young’s modulus, a 38 % increase in yield strength, and almost double the energy absorption capacity, significantly outperforming conventional TPMS-like shell lattices. These enhancements arise from internal contact mechanisms that stabilise post-buckling behaviour, yielding consistent or enhanced stress-strain responses. This methodology overcomes the limitations of low-density stretching-dominated lattices, paving the way for advanced, lightweight, load-bearing structures, energy absorbers, and multifunctional metamaterials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"208 ","pages":"Article 106467"},"PeriodicalIF":6.0,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145689710","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}