Journal of The Mechanics and Physics of Solids最新文献

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Cracking and wrinkling morphomechanics of animal skins
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-22 DOI: 10.1016/j.jmps.2025.106167
Shiyuan Chu , Jinshuai Bai , Xi-Qiao Feng
{"title":"Cracking and wrinkling morphomechanics of animal skins","authors":"Shiyuan Chu ,&nbsp;Jinshuai Bai ,&nbsp;Xi-Qiao Feng","doi":"10.1016/j.jmps.2025.106167","DOIUrl":"10.1016/j.jmps.2025.106167","url":null,"abstract":"<div><div>Through the long history of evolution, the skins of animals have developed different geometric patterns that confer multiple functions adapted to various environments. To achieve flexibility, which is critical for their predation and survival, the skins must undergo large deformations, with relatively lower energy dissipation and stress levels. To this end, rich surface patterns can be observed on the skins of different animals, for example, cracked fragments on crocodiles, surface wrinkles on dogs, and intricately patterned scales on fishes. In this paper, we investigate how the skin patterns of animals are determined by morphomechanics and reveal that, apart from wrinkling, cracking is another essential morphomechanical strategy. A core–shell model is established to reveal how the surface patterns of the skins are affected by the biological activities, body sizes, and skin curvatures of the animals. A non-dimensional parameter is defined to differentiate the skin patterns governed by surface wrinkling and fragmentation mechanisms. For thin and soft skins (e.g., humans, frogs, and dogs), surface wrinkling is easier to occur, while for thick and stiff skins (e.g., crocodiles and dinosaurs), they evolve into cracked fragments to avoid high stresses during larger deformation. The theoretical results are in good agreement with a wide range of animals. Furthermore, scaling laws are provided for the geometric features of the morphological patterns of cracking-regulated skins. This work not only helps uncover the secrets underlying the skin morphogenesis of animals, but also hold potential applications in paleontological reconstructions and designs of biomimetic soft robots.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106167"},"PeriodicalIF":5.0,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874622","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}
引用次数: 0
Inflation and instabilities of a spherical magnetoelastic balloon
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-21 DOI: 10.1016/j.jmps.2025.106146
Nadeem Karim Shaikh, Ganesh Tamadapu
{"title":"Inflation and instabilities of a spherical magnetoelastic balloon","authors":"Nadeem Karim Shaikh,&nbsp;Ganesh Tamadapu","doi":"10.1016/j.jmps.2025.106146","DOIUrl":"10.1016/j.jmps.2025.106146","url":null,"abstract":"<div><div>This study explores the instabilities during the axisymmetric inflation of an initially spherical magnetoelastic balloon, modeled as a magnetizable Ogden material, under combined internal pressure and a non-uniform magnetic field generated by current-carrying coils. The nonlinear interplay of geometric and material effects leads to governing equations sensitive to bifurcations and instabilities. A coordinate singularity at the poles of the balloon is identified within the system of governing differential equations, which is resolved through an appropriate choice of field variables and L’Hôpital’s rule. Stability analysis reveals that as inflation progresses, axisymmetry is broken through a supercritical pitchfork bifurcation, resulting in a pear-shaped equilibrium. This symmetry is later restored through a reverse subcritical pitchfork bifurcation, forming an isolated loop of pear-shaped solutions containing stable and unstable branches in the case of a six-parameter Ogden material model (SPOM). The onset of symmetry-breaking bifurcations is influenced by material parameters and magnetic field intensity, with critical values beyond which such bifurcations are suppressed. Both symmetry-preserving and pear-shaped configurations are stable under small asymmetric perturbations in both magnetic and non-magnetic cases. Snap-through transitions between pear-shaped and axisymmetric configurations are also observed.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106146"},"PeriodicalIF":5.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874619","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}
引用次数: 0
A multiscale constitutive model for the elasticity of clay nanoparticle assemblies
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-17 DOI: 10.1016/j.jmps.2025.106140
Hejian Zhu , Andrew J. Whittle , Roland J.-M. Pellenq
{"title":"A multiscale constitutive model for the elasticity of clay nanoparticle assemblies","authors":"Hejian Zhu ,&nbsp;Andrew J. Whittle ,&nbsp;Roland J.-M. Pellenq","doi":"10.1016/j.jmps.2025.106140","DOIUrl":"10.1016/j.jmps.2025.106140","url":null,"abstract":"<div><div>Due to its particulate nature, the mechanical properties of bulk clay are determined by interparticle forces and fabrics of particle assemblies. A thorough study of the connection between properties across length scales is crucial to a fundamental understanding of the mechanisms behind the complex mechanical behavior of clays and clayey soils. This paper demonstrates the development of a multiscale constitutive model for describing the small-strain elastic properties of illite, based on the results of coarse-grained mesoscale molecular dynamic simulations for monodisperse assemblies of illite primary particles. The formulation consists of a homogenization scheme linking the potential energy of the system with an optimal parameter set describing the mesoscale fabric of the particles, and a perturbation scheme describing the change of the parameters in response to infinitesimal strains applied to the systems. The small strain elastic stiffness tensors are calculated as the second-order derivative of the potential energy with respect to the infinitesimal strain. The results from model prediction are validated against the stiffness properties interpreted from numerical simulations as well as experimental findings from prior research studies. The multiscale constitutive model is able to effectively capture the elastic properties of illite in terms of magnitude and material symmetry purely based on the information of interparticle forces and fabrics.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106140"},"PeriodicalIF":5.0,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874620","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}
引用次数: 0
Material instability and subsequent restabilization from homogenization of periodic elastic lattices
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-17 DOI: 10.1016/j.jmps.2025.106129
Davide Bigoni, Andrea Piccolroaz
{"title":"Material instability and subsequent restabilization from homogenization of periodic elastic lattices","authors":"Davide Bigoni,&nbsp;Andrea Piccolroaz","doi":"10.1016/j.jmps.2025.106129","DOIUrl":"10.1016/j.jmps.2025.106129","url":null,"abstract":"<div><div>Two classes of non-linear elastic materials are derived via two-dimensional homogenization. These materials are equivalent to a periodic grid of axially-deformable and axially-preloaded structural elements, subject to incremental deformations that involve bending, shear, and normal forces. The unit cell of one class is characterized by elements where deformations are lumped within a finite-degrees-of-freedom framework. In contrast, the other class involves smeared deformation, modelled as flexurally deformable rods with sufficiently high axial compliance. Under increasing compressive load, the elasticity tensor of the equivalent material loses positive definiteness and subsequently undergoes an ellipticity loss. Remarkably, in certain conditions, this loss of stability is followed by a subsequent restabilization; that is, the material re-enters the elliptic regime and even the positive definiteness domain and simultaneously, the underlying elastic lattice returns to a stable state. This effect is closely related to the axial compliance of the elements.</div><div>The lumped structural model is homogenized using a purely mechanical approach (whose results are also confirmed via formal homogenization based on variational calculus), resulting in an analytical closed-form solution that serves as a reference model. Despite its simplicity, the model exhibits a surprisingly rich mechanical behaviour. Specifically, for certain radial paths in stress space: (i.) stability is always preserved; (ii.) compaction, shear, and mixed-mode localization bands emerge; (iii.) shear bands initially form, but later ellipticity is recovered, and finally, mixed-mode localization terminates the path. This lumped structural model is (at least in principle) realizable in practice and offers an unprecedented and vivid representation of strain localization modes, where the corresponding equations remain fully ‘manageable by hand’. The structural model with smeared deformability behaves similarly to the discrete model but introduces a key distinction: ‘islands’ of instability emerge within a broad zone of stability. This unique feature leads to unexpected behaviour, where shear bands appear, vanish and reappear along radial stress paths originating from the unloaded state.</div><div>Our results: (i.) demonstrate new possibilities for exploiting structural elements within the elastic range, characterized by a finite number of degrees of freedom, to create architected materials with tuneable instabilities, (ii.) introduce reconfigurable materials characterized by ‘islands’ of stability or instability.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106129"},"PeriodicalIF":5.0,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848498","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}
引用次数: 0
Inverse design of reconfigurable metabeams: Harnessing multi-wave coupling for tailored dispersion
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-16 DOI: 10.1016/j.jmps.2025.106156
Jiao Wang , Bin Wu , Miao Yang , Wei Jiang , Nan Gao , Ronghao Bao , Weiqiu Chen
{"title":"Inverse design of reconfigurable metabeams: Harnessing multi-wave coupling for tailored dispersion","authors":"Jiao Wang ,&nbsp;Bin Wu ,&nbsp;Miao Yang ,&nbsp;Wei Jiang ,&nbsp;Nan Gao ,&nbsp;Ronghao Bao ,&nbsp;Weiqiu Chen","doi":"10.1016/j.jmps.2025.106156","DOIUrl":"10.1016/j.jmps.2025.106156","url":null,"abstract":"<div><div>The roton-like dispersion has recently been realized in elastic metamaterials through the introduction of the nonlocal effect, which is facilitated by beyond-nearest-neighbor interactions. Here, we propose an innovative but simple reconfigurable structure composed of a rectangular beam integrated with an array of oblique quadrangular prisms. This design leverages structural symmetry to control wave coupling, enabling precise tuning of dispersion characteristics and the creation of extremum points (EPs). By manipulating the symmetry and coupling mechanisms, we can selectively design structures that promote the interaction of specific wave types, achieving targeted dispersion patterns. Through this inverse design approach, we can control the number and location of EPs, effectively customizing the dispersion profile to meet desired specifications, including the realization of maxon-like and roton-like dispersions. Comprehensive simulations and experimental validation have confirmed the feasibility of achieving high-precision control over the dispersion characteristics. This groundbreaking approach paves the way for advanced wave manipulation in elastic metamaterials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106156"},"PeriodicalIF":5.0,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851685","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}
引用次数: 0
Cracking resistance of nanostructured freestanding tungsten films
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-16 DOI: 10.1016/j.jmps.2025.106143
S.E. Naceri , M. Rusinowicz , M. Coulombier , T. Pardoen
{"title":"Cracking resistance of nanostructured freestanding tungsten films","authors":"S.E. Naceri ,&nbsp;M. Rusinowicz ,&nbsp;M. Coulombier ,&nbsp;T. Pardoen","doi":"10.1016/j.jmps.2025.106143","DOIUrl":"10.1016/j.jmps.2025.106143","url":null,"abstract":"<div><div>The fracture toughness <em>K<sub>c</sub></em> of freestanding tungsten films is explored using a MEMS-based crack-on-chip method and multiscale finite element modelling, in the context of miniaturised testing of structural materials for nuclear fusion applications. The primary ambition is to determine to what extent testing thin nanostructured tungsten films can provide relevant data with respect to bulk tungsten fracture behavior, particularly in view of irradiation testing. The second objective is to enhance fundamental knowledge on the cracking behavior of thin metallic films with a quasi-brittle response. Tungsten films with 370 nm thickness are deposited by magnetron sputtering under different pressures and characterized using grazing incidence X-ray diffraction, surface curvature measurements, scanning electron microscopy and nano-indentation. Microstructure evolution, residual stresses, and tensile properties are analyzed to confirm the BCC α-phase. The fracture toughness of the tungsten films is determined on-chip using a crack arrest approach and finite element modelling to extract <em>K<sub>c</sub></em>. The analysis conducted on 90 successful test structures provides an average fracture toughness value of 3.2 ± 0.36 MPa √m. This value is typically, 50 % lower than for bulk tungsten, despite the submicron thickness, while similar intergranular fracture mechanism is observed. The link with crack tip plasticity is further unravelled by XFEM-based simulations relying on a cohesive zone model. Care is taken to properly resolve the mechanical behavior of the nanometer scale fracture process zone. The calibrated peak strength is equal 7.8 GPa, which is less than two times the large yield stress of the nanocrystalline film. With such a ratio, the impact of plasticity outside the fracture process zone is limited, corresponding to negligible R curve effect and extra dissipation upon crack growth in contrast with bulk specimens for which a ratio above four is expected.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106143"},"PeriodicalIF":5.0,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874621","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}
引用次数: 0
A finite deformation theory of dislocation thermomechanics
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-15 DOI: 10.1016/j.jmps.2025.106141
Gabriel D. Lima-Chaves , Amit Acharya , Manas V. Upadhyay
{"title":"A finite deformation theory of dislocation thermomechanics","authors":"Gabriel D. Lima-Chaves ,&nbsp;Amit Acharya ,&nbsp;Manas V. Upadhyay","doi":"10.1016/j.jmps.2025.106141","DOIUrl":"10.1016/j.jmps.2025.106141","url":null,"abstract":"<div><div>A geometrically nonlinear theory for field dislocation thermomechanics based entirely on measurable state variables is proposed. Instead of starting from an ordering-dependent multiplicative decomposition of the total deformation gradient tensor, the additive decomposition of the velocity gradient into elastic, plastic and thermal distortion rates is obtained as a natural consequence of the conservation of the Burgers vector. Based on this equation, the theory consistently captures the contribution of transient heterogeneous temperature fields on the evolution of the (polar) dislocation density. The governing equations of the model are obtained from the conservation of Burgers vector, mass, linear and angular momenta, and the First Law. The Second Law is used to deduce the hyperelastic constitutive equation for the Cauchy stress and the thermodynamical driving force for the dislocation velocity. An evolution equation for temperature is obtained from the First Law and the Helmholtz free energy density, which is taken as a function of the following measurable quantities: elastic distortion, temperature and the dislocation density (the theory allows prescribing additional measurable quantities as internal state variables if needed). Furthermore, the theory allows one to compute the Taylor-Quinney factor, which is material and strain rate dependent. Accounting for the polar dislocation density as a state variable in the Helmholtz free energy of the system allows for temperature solutions in the form of dispersive waves with finite propagation speed, i.e. <em>thermal waves</em>, despite using Fourier’s law of heat conduction as the constitutive assumption for the heat flux vector.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106141"},"PeriodicalIF":5.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851687","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}
引用次数: 0
Geometrically characteristic kinetic thermodynamic deformation theory and intrinsic indices of the plasticity and damage of crystalline solid
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-14 DOI: 10.1016/j.jmps.2025.106139
Jinqiu Liu , Chuang Ma , Yichao Zhu , Biao Wang
{"title":"Geometrically characteristic kinetic thermodynamic deformation theory and intrinsic indices of the plasticity and damage of crystalline solid","authors":"Jinqiu Liu ,&nbsp;Chuang Ma ,&nbsp;Yichao Zhu ,&nbsp;Biao Wang","doi":"10.1016/j.jmps.2025.106139","DOIUrl":"10.1016/j.jmps.2025.106139","url":null,"abstract":"<div><div>A geometrically characteristic kinetic thermodynamic deformation theory is proposed for effective predictions over the full-life mechanical behaviour of crystalline solid. From a theoretic perspective, the proposed theory is distinguished from existing internal state variable theories at least in two aspects. Firstly, it is “geometrically characteristic” because the quantities employed for summarising the underlying defect status bear clear geometric meaning. An inelastic deformation status can be considered as the combination of two modes: a deviatoric mode resulting from the motion of distortional defects mainly underlying plasticity, and a volumetric mode resulting from the evolution of dilating defects likely giving rise to damage. Secondly, the proposed theory is said to be “kinetic”, because the mechanisms of underlying microstructural evolution impeded by local energy barriers are taken into account. A pair of material-intrinsic quantities measuring the hosting materials’ capabilities of resisting further inelastic deformation are then identified, which are employed as indices to assess the mechanical performance of crystalline solid. It is shown that conventional uniaxially loading data should suffice for calibrating the present theory, and this is in comparison with most existing ductile-damage models, where multi-triaxiality data seem necessary for calibration. The present theory, upon calibration against monotonic loading data, is also shown to be capable of describing non-monotonically loading situations, such as scenarios with cyclic loading and the phenomena of anisotropic plasticity.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106139"},"PeriodicalIF":5.0,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829281","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}
引用次数: 0
A unified multi-phase-field model for Rayleigh-Damköhler fluid-driven fracturing
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-13 DOI: 10.1016/j.jmps.2025.106148
Bo Li, Hao Yu, WenLong Xu, Quan Wang, HanWei Huang, HengAn Wu
{"title":"A unified multi-phase-field model for Rayleigh-Damköhler fluid-driven fracturing","authors":"Bo Li,&nbsp;Hao Yu,&nbsp;WenLong Xu,&nbsp;Quan Wang,&nbsp;HanWei Huang,&nbsp;HengAn Wu","doi":"10.1016/j.jmps.2025.106148","DOIUrl":"10.1016/j.jmps.2025.106148","url":null,"abstract":"<div><div>In geological systems where fractures are driven by low-viscosity reactive fluids (e.g., CO₂ fracturing), the leak-off of the reactive fluid from fractures into the rock matrix induces Rayleigh-Taylor instability, leading to the formation of fingering invasion regions that undergo chemical damage, thereby destabilizing fracture propagation. The fracture propagation is strongly coupled with the heterogeneous chemical damage. The significant variability of Rayleigh number (buoyancy-driven convection / diffusion) and Damköhler number (chemical reaction / advection) within a wide range causes various flow and fracture patterns. Based on the principle of virtual work, a unified multi-phase-field model is proposed to model the mechanics enhanced chemical damage and dissolution-assisted fracturing process. The distinct fracture (<span><math><msub><mi>∅</mi><mi>f</mi></msub></math></span>) and chemical damage (<span><math><msub><mi>∅</mi><mi>d</mi></msub></math></span>) phase field order parameters are introduced to characterize fracture energy, chemical free energy and dissolution interfacial energy. The two phase fields are tightly linked through a synergistic degradation of mechanical energy. The governing equations for the Rayleigh-Damköhler fluid-driven fracturing are derived from the variational formulation of the free energy and micro-force balance. Based on the model, dimensional analysis is employed to establish the scaling laws for rock failure modes. When leak-off fluid flow aligns with fracture propagation, critical curves distinguishing different damage morphology are identified in the phase diagram using penetration lengths. In scenarios where gravity induces a misalignment between leak-off fluid flow and fracture direction, the normalized fracture number (<span><math><msub><mstyle><mi>Π</mi></mstyle><mrow><mi>f</mi></mrow></msub></math></span>) and chemical damage number (<span><math><msub><mstyle><mi>Π</mi></mstyle><mrow><mi>d</mi></mrow></msub></math></span>) are summarized to construct a comprehensive phase diagram encompassing various unstable fluid leak-off structures and rock failure modes.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106148"},"PeriodicalIF":5.0,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143858974","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}
引用次数: 0
Construction of Isotropic Compressible Hyperelastic Constitutive Models Based Solely on Uniaxial Tests
IF 5 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-04-12 DOI: 10.1016/j.jmps.2025.106150
Pengfei Yang , Peidong Lei , Bin Liu , Huajian Gao
{"title":"Construction of Isotropic Compressible Hyperelastic Constitutive Models Based Solely on Uniaxial Tests","authors":"Pengfei Yang ,&nbsp;Peidong Lei ,&nbsp;Bin Liu ,&nbsp;Huajian Gao","doi":"10.1016/j.jmps.2025.106150","DOIUrl":"10.1016/j.jmps.2025.106150","url":null,"abstract":"<div><div>Constructing constitutive models for compressible soft materials is essential for accurately describing their highly nonlinear, large deformation mechanical behavior and volumetric deformation. However, most existing constitutive models rely on predefined assumptions about the form of the strain energy function. Constructing compressible hyperelastic constitutive models is particularly challenging because, beyond the uniaxial test, it typically requires additional more sophisticated and more costly experiments, such as biaxial, pure shear, and hydrostatic tests. In this paper, we propose an approach to constructing an isotropic compressible hyperelastic constitutive model without assuming a predefined form of the strain energy function. Instead, we derive the strain energy function directly from experimental data. Our method requires only uniaxial tests, significantly simplifying the experimental requirements and costs. This approach is achieved by utilizing the deviatoric-volumetric decomposition of the strain energy function coupled with an interpolation scheme. To validate our proposed approach, we compare our model against traditional compressible constitutive models and well-known experimental data on incompressible rubbers. Additionally, we perform experiments on compressible rubbers, including foamed silicone and foamed EPDM (ethylene propylene diene monomer), for further validation. It is found that our model perfectly predicts the uniaxial test data and accurately predicts mechanical behavior under various other loading conditions. Finally, we discuss strategies for enhancing model accuracy and its ability to decouple uniaxial behavior from compressibility. This decoupling feature is crucial for accurately capturing the distinct mechanical responses associated with different deformation modes, thereby improving the predictive capability of the constitutive model.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106150"},"PeriodicalIF":5.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843922","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}
引用次数: 0
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