Journal of Elasticity最新文献_第10页

Construction of Invariant Relations of (n) Symmetric Second-Order Tensors $n$对称二阶张量不变关系的构造

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-08-28 DOI: 10.1007/s10659-023-10031-y

Adair Roberto Aguiar, Gabriel Lopes da Rocha

引用次数: 0

Edge Crack Subject to Anti-Plane Shear Wave in an Orthotropic Strip 正交各向异性带中受反平面剪切波作用的边缘裂纹

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2023-08-28 DOI: 10.1007/s10659-023-10032-x

Somashri Karan, Sourav Kumar Panja, Sanjoy Basu, Subhas Chandra Mandal

引用次数: 0

Foreword: In Recognition of the 85th Birthday of Roger L. Fosdick 前言：纪念罗杰·福斯迪克85岁生日

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-08-25 DOI: 10.1007/s10659-023-10033-w

Ryan S. Elliott, Adair R. Aguiar, Yi-Chao Chen, Gianni Royer-Carfangi

引用次数: 0

A Class of Nonlinear Elasticity Problems with No Local but Many Global Minimizers 一类无局部有多个全局极小值的非线性弹性问题

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-08-04 DOI: 10.1007/s10659-023-10026-9

Yury Grabovsky, Lev Truskinovsky

引用次数: 0

Correction to: Harmonic Decomposition, Irreducible Basis Tensors, and Minimal Representations of Material Tensors and Pseudotensors 修正：调和分解，不可约基张量，以及物质张量和伪张量的极小表示

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-08-04 DOI: 10.1007/s10659-023-10030-z

Chi-Sing Man, Wenwen Du

引用次数: 1

Decomposition of Rod Displacements via Bernoulli–Navier Displacements. Application: A Loading of the Rod with Shearing 用伯努利-纳维尔位移分解杆位移。用途:对杆进行剪切加载

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2023-08-04 DOI: 10.1007/s10659-023-10029-6

Georges Griso

引用次数: 0

Stress Concentration Due to the Presence of a Rigid Elliptical Inclusion in Porous Elastic Solids Described by a New Class of Constitutive Relations 由一类新的本构关系描述的多孔弹性固体中刚性椭圆夹杂引起的应力集中

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-07-21 DOI: 10.1007/s10659-023-10027-8

Bhaskar Vajipeyajula, Pavitra Murru, K. R. Rajagopal

{"title":"Stress Concentration Due to the Presence of a Rigid Elliptical Inclusion in Porous Elastic Solids Described by a New Class of Constitutive Relations","authors":"Bhaskar Vajipeyajula, Pavitra Murru, K. R. Rajagopal","doi":"10.1007/s10659-023-10027-8","DOIUrl":"10.1007/s10659-023-10027-8","url":null,"abstract":"<div><p>In a large class of porous elastic solids such as cement concrete, rocks, ceramics, porous metals, biological materials such as bone, etc., the material moduli depend on density. When such materials undergo sufficiently small deformations, the usual approach of appealing to a linearized elastic constitutive relation to describe their response will not allow us to capture the dependence of the material moduli on the density, as this would imply a nonlinear relationship between the stress and the linearized strain in virtue of the balance of mass as dependence on density implies dependence on the trace of the linearized strain. It is possible to capture the dependence of the material moduli on the density, when the body undergoes small deformations, within the context of implicit constitutive relations. We study the stress concentration due to a rigid elliptic inclusion within a new class of implicit constitutive relations in which the stress and the linearized strain appear linearly, that allows us to capture the dependence of the material moduli on the density. We find that the stress concentration that one obtains employing the constitutive relation wherein the material moduli depend on the density can be significantly different from that obtained by adopting the classical linearized elastic constitutive relation to which it reduces to when the density dependence of the material moduli are ignored.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"255 - 273"},"PeriodicalIF":2.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45993934","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: 1

Anisotropy and Asymmetry of the Elastic Tensor of Lattice Materials 晶格材料弹性张量的各向异性和非对称性

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2023-07-18 DOI: 10.1007/s10659-023-10028-7

Huiming Yin, Chao Liu

{"title":"Anisotropy and Asymmetry of the Elastic Tensor of Lattice Materials","authors":"Huiming Yin, Chao Liu","doi":"10.1007/s10659-023-10028-7","DOIUrl":"10.1007/s10659-023-10028-7","url":null,"abstract":"<div><p>Lattice materials formed by hinged springs or linear elastic bonds may exhibit diverse anisotropy and asymmetry features of the overall elastic behavior depending on their unit cell configuration. The recently developed singum model transfers the force-displacement relationship of the springs in the lattice to the stress-strain relationship in the continuum particle, and provides the analytical form of tangential elasticity. When a pre-stress exists in the lattice, the stiffness tensor significantly changes due to the effect of the configurational stress; existing methods like the lattice spring method, relying on a scalar energy equivalence, are insufficient in such situations. Instead, a tensorial homogenization method with the new definition of singum stress and strain, should be preferred. Different lattice structures lead to different symmetries of the stiffness tensors, which are demonstrated by five lattices. When all bonds exhibit the same length, regular hexagonal, honeycomb, and auxetic lattices demonstrate that the stiffness changes from an isotropic to anisotropic, from symmetric to asymmetric tensor. When the central symmetry of the unit cell is not satisfied, the primitive cell will contain more than one singums and the Cauchy–Born rule fails by the loss of equilibrium of the single singum. A secondary stress is induced to balance the singums. Displacement gradient <span>(d_{ij}=u_{j,i})</span> is proposed to replace strain in the constitutive law for the general case because <span>(d_{12})</span> and <span>(d_{21})</span> can produce different stress states. Although the hexagonal and honeycomb lattices may exhibit isotropic behavior, for general auxetic lattices, an anisotropic and asymmetric elastic tensor is obtained with the loss of both minor and major symmetry, which is also demonstrated in a square lattice with unbalanced central symmetry and a chiral lattice. The modeling procedure and results can be generalized to three dimensions and other lattices with the anisotropic and asymmetric stiffness.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 5","pages":"659 - 691"},"PeriodicalIF":1.8,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49524891","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

Inclusions with Uniform Stress in a Bounded Elastic Domain 有界弹性域中的均匀应力包裹体

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2023-07-07 DOI: 10.1007/s10659-023-10025-w

Ming Dai

{"title":"Inclusions with Uniform Stress in a Bounded Elastic Domain","authors":"Ming Dai","doi":"10.1007/s10659-023-10025-w","DOIUrl":"10.1007/s10659-023-10025-w","url":null,"abstract":"<div><p>A single elliptical or ellipsoidal inclusion with an arbitrary uniform eigenstrain is known to achieve a constant stress field when embedded in an elastic medium provided the edge of the medium is sufficiently far from the inclusion (i.e. the interaction between the inclusion and the edge of the medium is negligible). In this paper, we aim to answer the question as to whether there exists an inclusion of certain configuration (with a uniform eigenstrain) that remains to possess a constant stress when embedded in a bounded medium whose edge interacts significantly with it. Specifically, we consider the anti-plane shear case of an inclusion with a uniform eigenstrain in a circular medium with a traction-free edge. We derive a sufficient and necessary condition ensuring the uniformity of the stress within the inclusion, which further leads to a nonlinear system of equations with respect to an infinite group of parameters characterizing the shape of the inclusion. We obtain convergent solutions for the truncated version of the nonlinear system using numerical techniques, and illustrate the corresponding shape of the inclusion in a few numerical examples. Our results for the case corresponding to small inclusion size and small edge-inclusion distance (relative to the radius of the medium) are well-consistent with the existing results for an inclusion with uniform stress in a semi-infinite medium with a traction-free surface, while those for centrally placed inclusions achieving uniform stress capture the classical case of centric circular inclusion accurately. The results presented in this paper provide a strong evidence for the existence of inclusions possessing uniform stress in an elastic bounded domain subjected to common external boundary conditions under anti-plane shear deformation.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 5","pages":"645 - 657"},"PeriodicalIF":1.8,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42078161","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

Universal Deformations of Incompressible Nonlinear Elasticity as Applied to Ideal Liquid Crystal Elastomers 不可压缩非线性弹性的普遍变形在理想液晶弹性体中的应用

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-06-07 DOI: 10.1007/s10659-023-10018-9

Victoria A. Lee, K. Bhattacharya

引用次数: 3