Journal of Elasticity最新文献_第3页

Necessary and Sufficient Elastic Stability Conditions for Single Crystals 单晶弹性稳定性的充分必要条件

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-27 DOI: 10.1007/s10659-025-10112-0

Kevin M. Knowles

引用次数: 0

On the Internal Field and Configuration of Harmonic Elastic Inclusions in Plane Deformation 平面变形中谐波弹性内含物的内场及构形研究

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-27 DOI: 10.1007/s10659-025-10115-x

Junfeng Lu, Pengyu Pei, Ming Dai

{"title":"On the Internal Field and Configuration of Harmonic Elastic Inclusions in Plane Deformation","authors":"Junfeng Lu, Pengyu Pei, Ming Dai","doi":"10.1007/s10659-025-10115-x","DOIUrl":"10.1007/s10659-025-10115-x","url":null,"abstract":"<div><p>Harmonic inclusions are defined as those that do not disturb the mean stress component of an initial stress field existing in a homogeneous elastic matrix when they are introduced into the matrix. The design of harmonic inclusions in the literature mainly focuses on the common cases in which the initial stress field has a constant mean stress component (while the corresponding deviatoric stress component may be either constant or non-constant). To identify the configuration of harmonic elastic inclusions in the common cases, researchers consistently assumed that the internal stresses inside the inclusions are hydrostatic and uniform although no rigorous justification was given. In this paper, we present a rigorous proof for the necessity of this assumption in the design of harmonic elastic inclusions in plane deformations. Specifically, we show that the internal stresses inside any elastic inclusion meeting the harmonicity condition must be uniform and (in-plane) hydrostatic (except for trivial cases in which the inclusion and matrix have the same shear modulus). We develop also a general analytic procedure to determine the desired shape for an isolated harmonic elastic inclusion for an arbitrary deviatoric component of the initial stress field, which is illustrated via a few numerical examples.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109615","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}

引用次数: 0

Adhesive Contact of Rigid Disk Inclusion with Boundary Fracture Embedded in a Piezoelectric Material 嵌入压电材料中带有边界断裂的磁盘夹杂物的黏着接触

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-24 DOI: 10.1007/s10659-025-10111-1

Ali Khojasteh, Hossein Kharrazi

引用次数: 0

Large Deformation Behavior of Plane Periodic Truss Networks. Part 1. Closed-Form Solution for Single Node Cells 平面周期性桁架网络的大变形特性。第1部分。单节点单元的封闭形式解决方案

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-23 DOI: 10.1007/s10659-025-10109-9

Massimo Cuomo, Claude Boutin, Carmelo Pannitteri

{"title":"Large Deformation Behavior of Plane Periodic Truss Networks. Part 1. Closed-Form Solution for Single Node Cells","authors":"Massimo Cuomo, Claude Boutin, Carmelo Pannitteri","doi":"10.1007/s10659-025-10109-9","DOIUrl":"10.1007/s10659-025-10109-9","url":null,"abstract":"<div><p>This article focuses on the derivation of explicit descriptions of networks in large deformation through the homogenization method of discrete media. Analytical models are established for the in-plane behavior of a planar periodic truss, whose cell contains a single node, as frequently encountered in practice. The cell is composed of bars that support only axial forces and are connected by perfect hinges. For the considered type of trusses, (given that the equilibrium conditions of the node and of the cell coincide) closed-form expressions for the local behaviour in the case of large deformations can be derived. This case makes it possible to combine the non-linearities arising from large deformations on the one hand and rheological characteristics on the other, and to compare their respective effects as a function of cell morphology. The results are illustrated by the shear and extension responses of specific trusses. The analysis is carried out for bars with stiffening, linear or softening behavior. The combination of the effects of geometrical non-linearities, rheological non-linearities and anisotropy results in particularly rich behaviors of the network.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-025-10109-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109198","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}

引用次数: 0

Assorted Remarks on Bending Measures and Energies for Plates and Shells, and Their Invariance Properties 板壳弯曲量和能量及其不变性评述

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-17 DOI: 10.1007/s10659-024-10107-3

J. A. Hanna, E. Vitral

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Nonlinear Soft-Tissue Elasticity, Remodeling, and Degradation Described by an Extended Finsler Geometry 用扩展Finsler几何描述的非线性软组织弹性、重塑和退化

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-16 DOI: 10.1007/s10659-025-10108-w

J. D. Clayton

{"title":"Nonlinear Soft-Tissue Elasticity, Remodeling, and Degradation Described by an Extended Finsler Geometry","authors":"J. D. Clayton","doi":"10.1007/s10659-025-10108-w","DOIUrl":"10.1007/s10659-025-10108-w","url":null,"abstract":"<div><p>A continuum mechanical theory incorporating an extension of Finsler geometry is formulated for fibrous soft solids. Especially if of biologic origin, such solids are nonlinear elastic with evolving microstructures. For example, elongated cells or collagen fibers can stretch and rotate independently of motions of their embedding matrix. Here, a director vector or internal state vector, not always of unit length, in generalized Finsler space relates to a physical mechanism, with possible preferred direction and intensity, in the microstructure. Classical Finsler geometry is extended to accommodate multiple director vectors (i.e., multiple fibers in both a differential-geometric and physical sense) at each point on the base manifold. A metric tensor can depend on the ensemble of director vector fields. Residual or remnant strains from biologic growth, remodeling, and degradation manifest as non-affine fiber and matrix stretches. These remnant stretch fields are quantified by internal state vectors and a corresponding, generally non-Euclidean, metric tensor. Euler-Lagrange equations derived from a variational principle yield equilibrium configurations satisfying balances of forces from elastic energy, remodeling and cohesive energies, and external chemical-biological interactions. Given certain assumptions, the model can reduce to a representation in Riemannian geometry. Residual stresses that emerge from a non-Euclidean material metric in the Riemannian setting are implicitly included in the Finslerian setting. The theory is used to study stress and damage in the ventricle (heart muscle) expanding or contracting under internal and external pressure. Remnant strains from remodeling can reduce stress concentrations and mitigate tissue damage under severe loading.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142994539","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}

引用次数: 0

Mechanics and Thermodynamics of Contractile Entropic Biopolymer Networks 可收缩熵生物高聚物网络的力学和热力学

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-10 DOI: 10.1007/s10659-024-10102-8

Antoine Jallon, Pierre Recho, Jocelyn Étienne

引用次数: 0

Plane Strain Problems for Thermo-Flexoelectric Solids 热挠曲电固体的平面应变问题

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-03 DOI: 10.1007/s10659-024-10106-4

Jinchen Xie, Xiaowen He

{"title":"Plane Strain Problems for Thermo-Flexoelectric Solids","authors":"Jinchen Xie, Xiaowen He","doi":"10.1007/s10659-024-10106-4","DOIUrl":"10.1007/s10659-024-10106-4","url":null,"abstract":"<div><p>In this paper, we present the first study of plane-strain problems within the framework of complete thermo-flexoelectric theory, incorporating strain-gradient elasticity, direct and converse flexoelectricity, as well as thermoelasticity. We derive the exact solutions for three typical thermoelastic plane strain problems, which are the mechanical-electrical-thermal coupling problem for an infinite-length strip, the mechanical-electrical-thermal coupling problem for a hollow cylinder, and the thermal eigenstrain problem for a cylindrical inclusion. We develop the mixed finite element framework for the plane-strain thermo-flexoelectric problems, benchmarked against the three analytical solutions. This study reveals that the electric field induced by inhomogeneous heating in thermo-flexoelectric solids exhibits a pronounced size effect. Notably, an increase in the strain-gradient length scale parameter diminishes the thermo-flexoelectric effects. This study not only deepens the understanding of the mechanisms of multiphysical fields coupling in thermo-flexoelectric solids, but also provides insights for designing nano thermo-electric converters based on the principle of thermo-flexoelectricity.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142925618","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}

引用次数: 0

A Thermomechanical Eulerian Formulation of a Size-Dependent Elastic-Inelastic Cosserat Continuum 尺寸相关弹性-非弹性连续体的热力学欧拉公式

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-03 DOI: 10.1007/s10659-024-10105-5

M. B. Rubin

{"title":"A Thermomechanical Eulerian Formulation of a Size-Dependent Elastic-Inelastic Cosserat Continuum","authors":"M. B. Rubin","doi":"10.1007/s10659-024-10105-5","DOIUrl":"10.1007/s10659-024-10105-5","url":null,"abstract":"<div><p>A thermodynamically consistent theory for finite deformation size-dependent elastic-inelastic response of a Cosserat material with a deformable director triad <span>({mathbf{d}}_{i})</span> and a single absolute temperature <span>(theta )</span> has been developed by the direct approach. A unique feature of the proposed theory is the Eulerian formulation of constitutive equations, which do not depend on arbitrariness of reference or intermediate configurations or definitions of total and plastic deformation measures. Inelasticity is modeled by an inelastic rate tensor in evolution equations for microstructural vectors. These microstructural vectors model elastic deformations and orientation changes of material anisotropy. General hyperelastic anisotropic constitutive equations are proposed with simple forms in terms of derivatives of the Helmholtz free energy, which depends on elastic deformation variables that include elastic deformations of the directors relative to the microstructural vectors. An important feature of the model is that the gradients of the elastic director deformations in the balances of director momentum control size dependence and are active for all loadings. Analytical solutions of the small deformation equations for simple shear are obtained for elastic response and strain-controlled cyclic loading of an elastic-viscoplastic material.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142925668","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}

引用次数: 0

Stochastic Process of Magneto-Photo-Thermoelastic Waves in Semiconductor Materials with the Change in Electrical Conductivity 半导体材料中磁光热弹性波随电导率变化的随机过程

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-01-02 DOI: 10.1007/s10659-024-10104-6

Khaled Lotfy, Saurav Sharma, Borhen Halouani, Abdelaala Ahmed, Alaa A. El-Bary, Ramdan S. Tantawi, Eslam S. Elidy

{"title":"Stochastic Process of Magneto-Photo-Thermoelastic Waves in Semiconductor Materials with the Change in Electrical Conductivity","authors":"Khaled Lotfy, Saurav Sharma, Borhen Halouani, Abdelaala Ahmed, Alaa A. El-Bary, Ramdan S. Tantawi, Eslam S. Elidy","doi":"10.1007/s10659-024-10104-6","DOIUrl":"10.1007/s10659-024-10104-6","url":null,"abstract":"<div><p>The primary objective of this study is to investigate the stochastic plasma-mechanical-elastic wave propagation at the boundary of an elastic half-space in a semiconductor material using photo-thermoelasticity theory. The novelty of this work lies in the combination of stochastic simulation with temperature-dependent electrical conductivity and variable thermal conductivity, applied to a two-dimensional (2D) electromagnetic problem based on the electron-hole interaction model. Unlike previous studies, this work incorporates white noise as the randomness factor, providing a more realistic representation of random processes in semiconductor materials. The normal mode analysis technique is used to derive both deterministic and stochastic wave behaviors, focusing on short-time dynamics. The results, which are numerically analyzed and graphically represented, provide new insights into the differential behavior of stochastic versus deterministic distributions in magneto-photo-thermoelastic wave propagation, contributing to a more comprehensive understanding of semiconductor behavior under random influences.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142912813","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}

引用次数: 0