Journal of The Mechanics and Physics of Solids最新文献

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A fully coupled THMC-MPM framework for modeling phase transition and large deformation in methane hydrate-bearing sediment 含甲烷水合物沉积物相变与大变形全耦合THMC-MPM框架模拟
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-19 DOI: 10.1016/j.jmps.2025.106368
Jidu Yu , Jidong Zhao , Kenichi Soga , Shiwei Zhao , Weijian Liang
{"title":"A fully coupled THMC-MPM framework for modeling phase transition and large deformation in methane hydrate-bearing sediment","authors":"Jidu Yu ,&nbsp;Jidong Zhao ,&nbsp;Kenichi Soga ,&nbsp;Shiwei Zhao ,&nbsp;Weijian Liang","doi":"10.1016/j.jmps.2025.106368","DOIUrl":"10.1016/j.jmps.2025.106368","url":null,"abstract":"<div><div>Methane hydrate-bearing sediment (MHBS) is a multiphase granular system characterized by complex thermo-hydro-mechanical–chemical (THMC) interactions involving phase transitions and large deformation behavior. Hydrate dissociation weakens sediment strength, potentially initiating geohazards such as submarine landslides. Simultaneously, large deformations in MHBS alter the sediment’s state, influencing hydrate reaction kinetics. Despite recent progress, modeling the coupled processes of hydrate dissociation and large deformation in MHBS remains a significant challenge. This study develops a THMC-coupled material point method (MPM) framework to simulate the pre- to post-failure behavior of MHBS associated with hydrate dissociation. The framework incorporates three key advancements: (i) a six-field governing equation integrated with the Kim–Bishnoi hydrate reaction model to resolve dynamic phase transitions, multiphase interactions, and large deformations; (ii) a strain-softening Mohr–Coulomb model with hydrate saturation-dependent strength to capture sediment mechanical degradation; and (iii) a hybrid explicit–implicit time integration scheme designed to enhance computational efficiency for systems with low permeability and high reaction rates. The framework is validated against Masuda’s hydrate dissociation experiment and an extended Terzaghi consolidation benchmark, before being applied to simulate biaxial compression tests and hydrate dissociation-triggered slope failures. We reveal that (1) shear dilation generates negative excess pore pressure in undrained conditions, triggering hydrate dissociation within the shear bands ; (2) shear heating resulting from rapid, large deformation promotes hydrate dissociation, exacerbating sediment softening; and (3) sediment strength degradation, hydrothermal variations, slope geometry, and other factors collectively shape the dynamic progression of retrogressive failures in MHBS. This work provides a powerful framework for modeling hydrate-related granular mechanics and geohazards.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106368"},"PeriodicalIF":6.0,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155520","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
Finite element modeling of transient shear wave elastography for the cornea 角膜瞬态横波弹性成像的有限元模拟
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-18 DOI: 10.1016/j.jmps.2025.106363
Giulia Merlini , Sebastien Imperiale , Jean-Marc Allain
{"title":"Finite element modeling of transient shear wave elastography for the cornea","authors":"Giulia Merlini ,&nbsp;Sebastien Imperiale ,&nbsp;Jean-Marc Allain","doi":"10.1016/j.jmps.2025.106363","DOIUrl":"10.1016/j.jmps.2025.106363","url":null,"abstract":"<div><div>Recent advances in dynamic elastography have enabled rapid, localized, and non-invasive mechanical data acquisition of the cornea. This data opens the path to early-detection of pathologies and more accurate treatment. However, the analysis of the wave propagation is a complex mechanical problem: the cornea is a structure under pressure, with non-linear material behavior. Thus, computational analysis are needed to extract mechanical parameters from the data. In this study, we present a time-dependent finite element model for the reproduction of transient shear wave elastographic measurements in the cornea. The mechanical problem consists in a small-amplitude wave propagating in the cornea, largely deformed by intraocular pressure in physiological conditions. The model accounts for anisotropic, hyperelastic, and incompressible behavior of the cornea, as well as its accurate geometry and preloaded condition. We have implemented two different numerical approaches to solve first the static non-linear inflation of the cornea and then the linear wave propagation problem to reproduce the measurements. We investigate the impact of material anisotropy and prestress on wave propagation and demonstrate that intraocular pressure critically influences shear wave velocity. Additionally, by introducing a localized mechanical defect to simulate a pathological defect, we show that simulated shear wave can detect and quantify mechanical weaknesses, suggesting potential as a diagnostic tool to assess corneal health.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106363"},"PeriodicalIF":6.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155522","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
Mesostructural origins of the anisotropic compressive properties of low-density closed-cell foams: A deeper understanding 低密度闭孔泡沫材料各向异性压缩特性的细观结构成因:更深层次的理解
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-18 DOI: 10.1016/j.jmps.2025.106344
L. Liu , F. Liu , D. Zenkert , M. Åkermo , M. Fagerström
{"title":"Mesostructural origins of the anisotropic compressive properties of low-density closed-cell foams: A deeper understanding","authors":"L. Liu ,&nbsp;F. Liu ,&nbsp;D. Zenkert ,&nbsp;M. Åkermo ,&nbsp;M. Fagerström","doi":"10.1016/j.jmps.2025.106344","DOIUrl":"10.1016/j.jmps.2025.106344","url":null,"abstract":"<div><div>Many closed-cell foams exhibit an elongated cell shape in the foam rise direction, resulting in anisotropic compressive properties, e.g. modulus and strength. Nevertheless, the underlying deformation mechanisms and how cell shape anisotropy induces this mechanical anisotropy are not yet fully understood, in particular for the foams with a high cell face fraction and low relative density. Moreover, the impacts of mesostructural stochastics are often overlooked.</div><div>This contribution conducts a systematic numerical study on the anisotropic compressive behaviour of low-density closed-cell foams (with a relative density <span><math><mrow><mo>&lt;</mo><mn>0</mn><mo>.</mo><mn>15</mn></mrow></math></span>), which accounts for cell shape anisotropy, cell structure and different mesostructural stochastics. Representative volume elements (RVE) of foam mesostructures are modelled, with cell walls described as Reissner–Mindlin shells in a finite rotation setting. A mixed stress–strain driven homogenization scheme is introduced, which allows for enforcing an overall uniaxial stress state. Uniaxial compressive loadings in different global directions are applied.</div><div>Quantitative analysis of the cell wall deformation behaviour confirms the dominant role of membrane deformation in the initial elastic region, while the bending contribution gets important only after buckling, followed by membrane yielding. Based on the identified deformation mechanisms, analytical models are developed that relate mechanical anisotropy to cell shape anisotropy. It is found that cell shape anisotropy translates into the anisotropy of compressive properties through three pathways, cell load-bearing area fraction, cell wall buckling strength and cell wall inclination angle. Besides, the resulting mechanical anisotropy is strongly affected by the cell shape anisotropy stochastics while almost insensitive to the cell size and cell wall thickness stochastics. The present findings provide deeper insights into the relationships between the anisotropic compressive properties and mesostructures of low-density closed-cell foams.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106344"},"PeriodicalIF":6.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107301","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 mesh-independent, geometrically characteristic and thermodynamic ductile-damage model catalysed by the kinetics of mobile volumetric crystalline defects 由可移动体积晶体缺陷动力学催化的非网格、几何特征和热力学延性损伤模型
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-17 DOI: 10.1016/j.jmps.2025.106362
Chuang Ma , Yichao Zhu
{"title":"A mesh-independent, geometrically characteristic and thermodynamic ductile-damage model catalysed by the kinetics of mobile volumetric crystalline defects","authors":"Chuang Ma ,&nbsp;Yichao Zhu","doi":"10.1016/j.jmps.2025.106362","DOIUrl":"10.1016/j.jmps.2025.106362","url":null,"abstract":"<div><div>The article is aimed to address the mesh-dependent and related issues longstanding to damage modelling. The role of crystalline defects that carry out material plasticity is summarised by field quantities characterising the geometric feature of their induced deviatoric macroscopic deformation, while the inelastic volumetric deformation is represented by a measure of the local voiding state, which should be behind material damage. On top of that, the kinetics of mobile volumetric defects exemplified by vacancy and self-interstitial atom, whose evolution boosts damage development, is also formulated. With the interactions between such mobile volumetric defects and other defects modelled in analogy with chemical reaction, a thermodynamically consistent theory is derived, and a thermodynamically favourable path is identified for damage development catalysed by mobile volumetric defect, i.e., voids grow by absorbing vacancies and other atom-missing types of defects generated from nearby deviatoric defects. With numerical examples, we demonstrate the present theory’s capabilities of mimicking (rate-independent) ductile damage and fracture under an isothermal setting (a) without the introduction of artificial internal length scales, (b) without assigning any pre-cracks, (c) with the resulting finite element calculation freed from the restriction that the mesh size must be comparable to any (artificial) internal length scale parameters. Numerical examples on full-life predictions, from an intact state to the final failure, over mechanics performance of structures bearing certain degree of geometric complexity are also given.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106362"},"PeriodicalIF":6.0,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107242","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
Shear band localization in finite strain deformation theory with strain gradient effects 考虑应变梯度效应的有限应变变形理论中的剪切带局部化
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-17 DOI: 10.1016/j.jmps.2025.106371
Norman A. Fleck , John W. Hutchinson
{"title":"Shear band localization in finite strain deformation theory with strain gradient effects","authors":"Norman A. Fleck ,&nbsp;John W. Hutchinson","doi":"10.1016/j.jmps.2025.106371","DOIUrl":"10.1016/j.jmps.2025.106371","url":null,"abstract":"<div><div>Shear band localization is investigated for a class of incompressible, isotropic, nonlinear elastic material models known as finite strain deformation theories that incorporate a dependence on strain gradients. These models mimic some of the important features of monotonically increasing plastic deformation. By invoking a nonlinear elastic solid, one can employ mathematical tools to analyze localization which cannot be used for other plasticity models. It will be seen that these tools lead to methods which provide new insights into localization and are readily implemented for numerical computation. Detailed localization and post-localization results are presented for power-law materials subject to simple shear and plane strain tension. The width of the localization band is found to be roughly ten to fifteen times the material length parameter characterizing the strain gradient effect. In a uniform block of material, the onset of localization occurs as a bifurcation. An initial non-uniformity, such as a slight reduction in strength in some region of the block, initiates growth of an incipient band which develops into the localized shear band. Bifurcation and imperfection-seeded localizations will be analyzed, revealing the possibility of size dependent imperfection-sensitivity of the localization process.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106371"},"PeriodicalIF":6.0,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221400","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
Continuum framework for multiscale contact mechanics of elastic-plastic fractal interfaces with intervening boundary film 带边界膜的弹塑性分形界面多尺度接触力学的连续体框架
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-17 DOI: 10.1016/j.jmps.2025.106311
Iljong Lee, Kyriakos Komvopoulos
{"title":"Continuum framework for multiscale contact mechanics of elastic-plastic fractal interfaces with intervening boundary film","authors":"Iljong Lee,&nbsp;Kyriakos Komvopoulos","doi":"10.1016/j.jmps.2025.106311","DOIUrl":"10.1016/j.jmps.2025.106311","url":null,"abstract":"<div><div>A comprehensive mechanics theory was developed to analyze multiscale contact and friction behavior of elastic-plastic fractal surfaces coated with a boundary film. This approach accounts for the size-dependent behavior of asperity microcontacts that arise from the inherent roughness of fractal topographies. To capture the fundamental mechanisms governing interfacial friction, representative single-asperity models were formulated to describe both elastic and plastic deformation modes at the microscale. These models were then systematically extended across the entire asperity population, enabling an accurate representation of contact interactions over a broad range of length scales. In the elastic regime, frictional resistance is primarily attributed to shearing of the boundary film between opposing asperities. Conversely, in the plastic regime, asperities indent and plow through the softer counterface material, while the boundary film remains attached to the deformed surface contributing additional resistance through interfacial shear. The total frictional force is obtained by integrating the contributions from both elastic and plastic microcontacts, which are weighted according to the asperity-size distribution that characterizes the fractal contact interface. The developed theoretical framework provides a rigorous and scalable model for predicting the frictional behavior of rough contact interfaces covered by a strongly adhered boundary film and yields fundamental insight into the interplay between surface topography, prevalent deformation mode at the asperity scale, and boundary film shear resistance, which is especially relevant for the design and analysis of engineered surfaces in contact-mode mechanical systems.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106311"},"PeriodicalIF":6.0,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107357","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
The 3D problem of out-of-plane perturbation of a semi-infinite crack in an infinite body revisited 重新研究了无限物体中半无限裂纹的三维面外摄动问题
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-16 DOI: 10.1016/j.jmps.2025.106329
Jean-Baptiste Leblond , Mathias Lebihain
{"title":"The 3D problem of out-of-plane perturbation of a semi-infinite crack in an infinite body revisited","authors":"Jean-Baptiste Leblond ,&nbsp;Mathias Lebihain","doi":"10.1016/j.jmps.2025.106329","DOIUrl":"10.1016/j.jmps.2025.106329","url":null,"abstract":"<div><div>Bueckner–Rice’s theory, in its original form (Rice, 1985; Bueckner, 1987; Rice, 1989), provided the general first-order expression of the variation of the displacement field arising from a small, but otherwise arbitrary <em>tangential</em> perturbation of the <em>front</em> of a crack in a 3D elastic body. This theory was recently extended (Leblond and Lebihain, 2023) to completely arbitrary geometric perturbations of the crack <em>front and surface</em>, including a <em>normal</em> component to the surface. The aim of this paper is to illustrate how the extended theory permits to treat elasticity problems of out-of-plane perturbations of planar cracks, and potentially of normal perturbations of cracks with arbitrary warped surface, in a more direct and simpler way than was previously possible. The principle consists of deriving the first-order expression of the variation of the stress intensity factors along the crack front from some detailed asymptotic study of the variation of the displacement near this front. This method parallels, for <em>normal</em> perturbations of the crack surface, that proposed and applied by Rice (1985); Gao and Rice (1986, 1987a,b); Gao (1988) to the calculation, in a number of crack configurations of practical interest, of the variation of the stress intensity factors resulting from <em>tangential</em> perturbations of the front. It is illustrated here in the simplest case of <em>out-of-plane perturbation of a semi-infinite crack in an infinite 3D body</em>. The results obtained confirm and complete, with a reduced technical effort, those previously derived by Movchan et al. (1998) using a “direct” approach implying a full solution of the complex 3D elasticity problem. Two new applications to problems of crack propagation in mixed-mode are presented as illustrations. The fundamental simplicity of the method, which circumvents the search for a general method of solution of the perturbed elasticity problem by reducing the treatment to finding the limits of some integrals, should permit to envisage next more complex cracked geometries, resembling more those encountered in actual experiments of crack propagation, and previously out of reach of theoretical analyses.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106329"},"PeriodicalIF":6.0,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145116144","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 microstructure-informed continuum model of transversely isotropic, fibre-reinforced hydrogels 横向各向同性纤维增强水凝胶的微观结构连续体模型
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-15 DOI: 10.1016/j.jmps.2025.106350
Matthew G. Hennessy , Tom Shearer , Axel C. Moore
{"title":"A microstructure-informed continuum model of transversely isotropic, fibre-reinforced hydrogels","authors":"Matthew G. Hennessy ,&nbsp;Tom Shearer ,&nbsp;Axel C. Moore","doi":"10.1016/j.jmps.2025.106350","DOIUrl":"10.1016/j.jmps.2025.106350","url":null,"abstract":"<div><div>Fibre-reinforced hydrogels are promising materials for biomedical applications due to their strength, toughness, and tunability. However, it remains unclear how to design fibre-reinforced hydrogels for use in specific applications due to the lack of a robust modelling framework that can predict and hence optimise their behaviour. In this paper, we present a microstructure-informed continuum model for transversely isotropic fibre-reinforced hydrogels that captures the specific geometry of the fibre network. The model accounts for slack (or crimp) in the initial fibre network that is gradually removed upon deformation. The mechanical model for the fibre network is coupled to a nonlinear poroelastic model for the hydrogel matrix that accounts for osmotic stress. We find that slack in the fibre network leads to J-shaped stress–strain curves, as seen in experiments, and a more isotropic swelling of the material. The model is compared to data from time-dependent unconfined compression experiments. Although we find qualitative agreement between model and experiment, the discrepancies suggest that additional physics, such as viscoelasticity and slip between the fibre network and the hydrogel matrix, can play important roles in these materials. We showcase how the model can be used to guide the design of materials for artificial cartilage by exploring how to maximise interstitial fluid pressure. Fluid pressurisation can be increased by using stiffer fibres, removing slack from the fibre network prior to matrix hydration, and reducing the Young’s modulus of the hydrogel matrix. Finally, a high-level and open-source Python package has been developed for simulating unconfined compression experiments using the model.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106350"},"PeriodicalIF":6.0,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155524","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
Generalized invariants meet constitutive neural networks: A novel framework for hyperelastic materials 广义不变量满足本构神经网络:超弹性材料的新框架
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-15 DOI: 10.1016/j.jmps.2025.106352
Denisa Martonová , Alain Goriely , Ellen Kuhl
{"title":"Generalized invariants meet constitutive neural networks: A novel framework for hyperelastic materials","authors":"Denisa Martonová ,&nbsp;Alain Goriely ,&nbsp;Ellen Kuhl","doi":"10.1016/j.jmps.2025.106352","DOIUrl":"10.1016/j.jmps.2025.106352","url":null,"abstract":"<div><div>The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven framework that simultaneously discovers appropriate invariants and constitutive models for isotropic incompressible hyperelastic materials. Our approach identifies both the most suitable invariants in a class of generalized invariants and the corresponding strain energy function directly from experimental observations. Unlike previous methods that rely on fixed invariant choices or sequential fitting procedures, our method integrates the discovery process into a single neural network architecture. By looking at a continuous family of possible invariants, the model can flexibly adapt to different material behaviors. We demonstrate the effectiveness of this approach using popular benchmark datasets for rubber and brain tissue. For rubber, the method recovers a stretch-dominated formulation consistent with classical models. For brain tissue, it identifies a formulation sensitive to small stretches, capturing the nonlinear shear response characteristic of soft biological matter. Compared to traditional and neural-network-based models, our framework provides improved predictive accuracy and interpretability across a wide range of deformation states. This unified strategy offers a robust tool for automated and physically meaningful model discovery in hyperelasticity.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106352"},"PeriodicalIF":6.0,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107250","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
Modeling finite viscoelasticity based on the Green–Naghdi kinematic assumption and generalized strains 基于Green-Naghdi运动学假设和广义应变的有限粘弹性建模
IF 6 2区 工程技术
Journal of The Mechanics and Physics of Solids Pub Date : 2025-09-13 DOI: 10.1016/j.jmps.2025.106346
Ju Liu, Chongran Zhao, Jiashen Guan
{"title":"Modeling finite viscoelasticity based on the Green–Naghdi kinematic assumption and generalized strains","authors":"Ju Liu,&nbsp;Chongran Zhao,&nbsp;Jiashen Guan","doi":"10.1016/j.jmps.2025.106346","DOIUrl":"10.1016/j.jmps.2025.106346","url":null,"abstract":"<div><div>We propose a modeling framework for finite viscoelasticity, inspired by the kinematic assumption made by Green and Naghdi in plasticity. This approach fundamentally differs from the widely used multiplicative decomposition of the deformation gradient, as the intermediate configuration, a concept that remains debated, becomes unnecessary. The advent of the concept of generalized strains allows the Green–Naghdi assumption to be employed with different strains, offering a flexible mechanism to separate elastic and viscous deformation. This leads to a constitutive theory in which the kinematic separation is adjustable and can be calibrated. For quadratic configurational free energy, the framework yields a suite of finite linear viscoelasticity models governed by linear evolution equations. Notably, these models recover established models, including those by Green and Tobolsky (1946) and Simo (1987), when the Seth-Hill strain is chosen with the strain parameter being <span><math><mrow><mo>−</mo><mn>2</mn></mrow></math></span> and 2, respectively. It is also related to the model of Miehe and Keck (2000) when the strain is of the Hencky type. We further extend the approach by adopting coercive strains, which allows us to define an elastic deformation tensor locally. This facilitates modeling the viscous branch using general forms of the configurational free energy, and we construct a micromechanical viscoelastic model as a representative instantiation. The constitutive integration algorithms of the proposed models are detailed. We employ the experimental data of VHB 4910 to examine the proposed models, which demonstrate their effectiveness and potential advantages in the quality of fitting and prediction. Three-dimensional finite element analysis is also conducted to assess the influence of different strains on the viscoelastic behavior.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106346"},"PeriodicalIF":6.0,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107249","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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