Journal of Elasticity最新文献

{"title":"Cardiac Mechanics Modeling: Recent Developments and Current Challenges","authors":"Aaron L. Brown,&nbsp;Ju Liu,&nbsp;Daniel B. Ennis,&nbsp;Alison L. Marsden","doi":"10.1007/s10659-026-10204-5","DOIUrl":"10.1007/s10659-026-10204-5","url":null,"abstract":"<div><p>Patient-specific computational models of the heart are powerful tools for cardiovascular research and medicine, with demonstrated applications in treatment planning, device evaluation, and surgical decision-making. Yet constructing such models is inherently difficult, reflecting the extraordinary complexity of the heart itself. Numerous considerations are required, including reconstructing the anatomy from medical images, representing myocardial mesostructure, capturing material behavior, defining model geometry and boundary conditions, coupling multiple physics, and selecting numerical methods. Many of these choices involve a tradeoff between physiological fidelity and modeling complexity. In this review, we summarize recent advances and unresolved questions in each of these areas, with particular emphasis on cardiac tissue mechanics. We argue that clarifying which complexities are essential, and which can be safely simplified, will be key to enabling clinical translation of these models.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 the Propagation of Acceleration Waves in Circular Cylindrical Elastic Membrane Tubes Subjected to Axial Extension","authors":"Husnu A. Erbay,&nbsp;Saadet Erbay","doi":"10.1007/s10659-026-10202-7","DOIUrl":"10.1007/s10659-026-10202-7","url":null,"abstract":"<div><p>We consider a circular cylindrical elastic membrane tube which is initially at rest and subjected to a given constant axial extension. We then consider the acceleration waves arising from the boundary condition defined for the axial velocity at one end of the tube. Using the singular surface theory, we study the propagation of acceleration waves in the context of nonlinear elasticity. The temporal evolution and propagation speeds are determined for a general incompressible elastic material. We deduce the conditions which determine whether the amplitude of the longitudinal acceleration wave blows up or not. Considering some well-known examples of strain-energy function, our study demonstrates that different constitutive models behave very differently and an amplitude blow-up may occur depending on the magnitude of the initial stretch for some elastic materials. On the other hand, we show that when the state of the medium ahead of the longitudinal acceleration wave is its natural state, an amplitude blow-up does not occur.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Prestressed Microstretch Elastic Solids","authors":"D. Ieşan","doi":"10.1007/s10659-026-10200-9","DOIUrl":"10.1007/s10659-026-10200-9","url":null,"abstract":"<div><p>The deformation of microstretch elastic solids is described by the displacement vector, the microrotation vector and the microstretch function. This paper presents a theory of prestressed microstretch elastic solids. First, the nonlinear theory of microstretch continua is used to establish the equations governing the infinitesimal deformation superposed on large deformations. Then, the linear theory of microstretch elastic solids with initial stresses and couple stresses is derived. The continuous dependence of solutions upon body loads and initial data is investigated.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Neutral Deformation Modes of Minimal Surfaces","authors":"André M. Sonnet,&nbsp;Epifanio G. Virga","doi":"10.1007/s10659-026-10201-8","DOIUrl":"10.1007/s10659-026-10201-8","url":null,"abstract":"<div><p>Stretching, drilling, and bending are the independent deformation modes of a thin shell, each of which has an individual energy content. When the energy content of a mode vanishes, that mode is <i>neutral</i>. We characterize all neutral modes of deformation of minimal surfaces into minimal surfaces. A hierarchy is found among these: a stretching neutral mode (which is an isometry) is also drilling neutral, and a drilling neutral mode is also bending neutral. Thus, all isometries of a minimal surface are globally neutral and give rise to <i>soft elasticity</i>. More generally, all minimal surfaces can be classified relative to a reference one in terms of three energy contents, which can be given in closed form.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-026-10201-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A New Representation Formula for the Logarithmic Corotational Derivative—A Case Study in Application of Commutator Based Functional Calculus","authors":"Michal Bathory,&nbsp;Miroslav Bulíček,&nbsp;Josef Málek,&nbsp;Vít Průša","doi":"10.1007/s10659-026-10203-6","DOIUrl":"10.1007/s10659-026-10203-6","url":null,"abstract":"<div><p>The logarithmic corotational derivative is a key concept in rate-type constitutive relations in continuum mechanics. The derivative is defined in terms of the logarithmic spin tensor, which is a skew-symmetric tensor/matrix given by a relatively complex formula. Using a newly developed commutator based functional calculus, we derive a new representation formula for the logarithmic spin tensor. In addition to the result on the logarithmic corotational derivative we also use the newly developed functional calculus to answer some problems regarding the matrix logarithm and the monotonicity of stress-strain relations. These results document that the commutator based functional calculus is of general use in tensor/matrix analysis, and that the calculus allows one to seamlessly work with tensor/matrix valued functions and their derivatives.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-026-10203-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Asymmetrical Spider Orb Webs","authors":"Alexandre Kawano,&nbsp;Antonino Morassi","doi":"10.1007/s10659-026-10199-z","DOIUrl":"10.1007/s10659-026-10199-z","url":null,"abstract":"<div><p>The study of the mechanisms guiding the spider in prey capture and gathering information through web vibration is one of the main objectives of current research in this field. Recent studies have provided partial insights, primarily through the development of a mechanical model of the spider web represented as a continuous fiber membrane with an appropriate pre-tensile stress state and undergoing small deformations. To date, all analytical results available in the literature – both in modelling and in the inverse problem of prey identification – have been restricted to <i>axially symmetrical</i> webs. In this work, we move beyond the axial symmetry assumption and address the more realistic case of <i>vertical asymmetry</i>, a characteristic of almost all vertical orb webs. This generalization introduces non-trivial challenges in mechanical and mathematical modelling. We establish the well-posedness of the statical response for a class of asymmetrical orb webs in a suitable weighted Sobolev space and we investigate the dynamically forced problem via eigenfunction expansion.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear Morphoelastic Energy Based Theory for Stimuli Responsive Elastic Shells","authors":"Matteo Taffetani,&nbsp;Matteo Pezzulla","doi":"10.1007/s10659-026-10198-0","DOIUrl":"10.1007/s10659-026-10198-0","url":null,"abstract":"<div><p>Large deformations play a central role in the shape transformations of slender active and biological structures. A classical example is the eversion of the Volvox embryo, which demonstrates the need for shell theories that can describe large strains, rotations, and the presence of incompatible stimuli. In this work, a reduced two-dimensional morphoelastic energy is derived from a fully nonlinear three-dimensional formulation. The resulting model describes the mechanics of naturally curved shells subjected to non-elastic stimuli acting through the thickness, thereby extending previous morphoelastic theories developed for flat plates to curved geometries. Two representative constitutive laws, corresponding to incompressible Neo-Hookean and compressible Ciarlet–Geymonat materials, are examined to highlight the influence of both geometric and constitutive nonlinearities. The theory is applied to the eversion of open and closed spherical shells and to vesiculation processes in biological systems. The results clarify how compressibility, curvature, and through-the-thickness kinematics govern snap-through and global deformation, extending classical morphoelastic shell models. The framework provides a consistent basis for analyzing large deformations in elastic and biological shells driven by non-mechanical stimuli.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-026-10198-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147607057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Fully Intrinsic Approach to the Inversion of Fourth-Order Material Tensors","authors":"Anna Castellano","doi":"10.1007/s10659-026-10197-1","DOIUrl":"10.1007/s10659-026-10197-1","url":null,"abstract":"<div><p>A general approach is presented for inverting fourth-order material tensors expressed as a sum of products of rank-two tensors such as the identity tensor and structural tensors. With reference to transversely isotropic and orthotropic materials, the procedure exploits identities involving different tensor products of the structural tensors to obtain three expressions of the elasticity tensor in order to look for the one that can simplify as much as possible the fully intrinsic evaluation of the compliance tensor. The sets of elastic constants referred to the intrinsic expression of the elasticity and compliance tensor are mutually related and are expressed in an arbitrary reference frame, not necessarily aligned with the planes of material symmetry. Finally, to foster the use of the tensorial approach in numerical applications, we also derive explicit expressions relating elastic or compliance moduli both with the entries of the material stiffness matrix, since they are determined experimentally, and with engineering constants, since they are more often used in practice due to their direct mechanical meaning.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Long-Time Dynamics of a Semilinear Beam in a Contact Problem with Pointwise Damping","authors":"Jaime E. Muñoz Rivera,&nbsp;Maria Grazia Naso","doi":"10.1007/s10659-026-10196-2","DOIUrl":"10.1007/s10659-026-10196-2","url":null,"abstract":"<div><p>This work investigates the existence of global attractors for a semilinear Signorini problem associated with the Euler–Bernoulli beam equation featuring pointwise dissipation. We demonstrate that the system exhibits exponential decay to zero and possesses a compact global attractor. The analysis is conducted by approximating the original linearized problem through a family of hybrid PDE–ODE models. By employing Lipschitz perturbations, we establish the well-posedness and global existence of solutions for the semilinear case. Finally, the Signorini problem is recovered via a singular limit process, where it is rigorously proven that the transition from the hybrid model to the constrained Signorini problem preserves both the exponential stability and the topological structure of the global attractor.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-026-10196-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Asymptotic Analysis of Torsional Buckling in Nearly Incompressible Hyperelastic Cylinders","authors":"Feng Yang","doi":"10.1007/s10659-026-10195-3","DOIUrl":"10.1007/s10659-026-10195-3","url":null,"abstract":"<div><p>Torsion of hyperelastic cylinders exhibits the classical Poynting effect and may lead to torsional buckling when the twist is sufficiently large. Since most elastomeric materials are nearly incompressible, the critical buckling torque is typically sensitive to small deviations from perfect incompressibility. In this work, we investigate the torsional stability of a solid circular cylinder composed of a compressible Mooney–Rivlin material and develop an asymptotic expansion for the critical twist in the nearly incompressible limit. Starting from the exact finite deformation associated with uniform torsion and fixed axial length, we formulate the incremental boundary-value problem in the current configuration. The incremental equations are cast in Stroh form for a six-dimensional state vector collecting displacements and tractions. A rigorous derivation of the incremental constitutive law based on the direct linearization of nominal stress is presented, ensuring consistency in the handling of pre-stress effects. To ensure dimensional consistency and physical clarity, we introduce a systematic non-dimensionalization of the governing equations. We demonstrate that the resulting dimensionless Stroh operator is non-self-adjoint. Constructing the adjoint eigenproblem and utilising the Fredholm solvability condition, we derive an explicit first-order formula for the sensitivity of the critical twist. This formula accounts for both the explicit constitutive relaxation and the implicit redistribution of the base state. Numerical results for a Mooney–Rivlin cylinder reveal a sensitivity coefficient of approximately 5.29, indicating that slight compressibility exerts a strong net stabilising effect. Crucially, the analysis decomposes this effect into two competing mechanisms: a destabilising explicit constitutive relaxation (<span>(kappa _{mathrm{expl}}^{(1)} approx -1.26)</span>) and a strongly stabilising relief of the hydrostatic pre-stress (<span>(kappa _{mathrm{impl}}^{(1)} approx +6.55)</span>). Furthermore, we uncover a fundamental divergence between standard invariant theories and the volumetric-deviatoric split formulations typically employed in commercial finite element codes. The apparent destabilisation trend often observed in numerical simulations is shown to be an artifact of the decoupled strain energy artificially suppressing the physical pre-stress relief. The results underscore the necessity of incorporating the adjoint mode and carefully evaluating invariant definitions to correctly predict the stability threshold in the nearly incompressible regime.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"158 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}