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Journal of Elasticity最新文献

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On the Question of the Sign of Size Effects in the Elastic Behavior of Foams 关于泡沫弹性行为中尺寸效应的符号问题
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2023-10-06 DOI: 10.1007/s10659-023-10037-6
Stephan Kirchhof, Alfons Ams, Geralf Hütter
{"title":"On the Question of the Sign of Size Effects in the Elastic Behavior of Foams","authors":"Stephan Kirchhof,&nbsp;Alfons Ams,&nbsp;Geralf Hütter","doi":"10.1007/s10659-023-10037-6","DOIUrl":"10.1007/s10659-023-10037-6","url":null,"abstract":"<div><p>Due to their good ratio of stiffness and strength to weight, foam materials find use in lightweight engineering. Though, in many applications like structural bending or tension, the scale separation between macroscopic structure and the foam’s mesostructure like cells size, is relatively weak and the mechanical properties of the foam appear to be size dependent. Positive as well as negative size effects have been observed for certain basic tests of foams, i.e., the material appears either to be more compliant or stiffer than would be expected from larger specimens. Performing tests with sufficiently small specimens is challenging as any disturbances from damage of cell walls during sample preparation or from loading devices must be avoided. Correspondingly, the number of respective data in literature is relatively low and the results are partly contradictory.</p><p>In order to avoid the problems from sample preparation or bearings, the present study employs virtual tests with CT data of real medium-density ceramic foams. A number of samples of different size is “cut” from the resulting voxel data. Subsequently, the apparent elastic properties of each virtual sample are “measured” directly by a free vibrational analysis using finite cell method, thereby avoiding any disturbances from load application or bearings. The results exhibit a large scatter of the apparent moduli per sample size, but with a clear negative size effect in all investigated basic modes of deformation (bending, torsion, uniaxial). Finally, the results are compared qualitatively and quantitatively to available experimental data from literature, yielding common trends as well as open questions.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 1","pages":"79 - 93"},"PeriodicalIF":1.8,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-023-10037-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135346592","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
A Generalized Model for Large Deformations of an Elastically Isotropic Material with Elastic-Inelastic Response 具有弹性-非弹性响应的弹性各向同性材料大变形的广义模型
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2023-09-13 DOI: 10.1007/s10659-023-10036-7
M. B. Rubin
{"title":"A Generalized Model for Large Deformations of an Elastically Isotropic Material with Elastic-Inelastic Response","authors":"M. B. Rubin","doi":"10.1007/s10659-023-10036-7","DOIUrl":"10.1007/s10659-023-10036-7","url":null,"abstract":"<div><p>The objective of this classroom note is to propose a generalized model for a compressible elastically isotropic material with elastic-inelastic response. The model is generalized for an exponential Fung-type strain energy with a sum of new higher order elastic distortional deformation invariants that can model elastic-inelastic distortional deformation. In contrast with an Ogden-type model, the coefficients of the proposed higher order invariants do not affect the small deformation response. Moreover, there is no need to determine eigenvalues and eigenvectors of the elastic distortional deformation tensor. Examples show that the equations can model preconditioning of biological tissues as well as elastic instability.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 1","pages":"325 - 332"},"PeriodicalIF":1.8,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135735410","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
Cauchy Relations in Linear Elasticity: Algebraic and Physics Aspects 线性弹性力学中的柯西关系：代数和物理方面
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2023-09-07 DOI: 10.1007/s10659-023-10035-8
Yakov Itin
{"title":"Cauchy Relations in Linear Elasticity: Algebraic and Physics Aspects","authors":"Yakov Itin","doi":"10.1007/s10659-023-10035-8","DOIUrl":"10.1007/s10659-023-10035-8","url":null,"abstract":"<div><p>The Cauchy relations distinguish between rari- and multi-constant linear elasticity theories. These relations are treated in this paper in a form that is invariant under two groups of transformations: indices permutation and general linear transformations of the basis. The irreducible decomposition induced by the permutation group is outlined. The Cauchy relations are then formulated as a requirement of nullification of an invariant subspace. A successive decomposition under rotation group allows to define the partial Cauchy relations and two types of elastic materials. We explore several applications of the full and partial Cauchy relations in physics of materials. The structure’s deviation from the basic physical assumptions of Cauchy’s model is defined in an invariant form. The Cauchy and non-Cauchy contributions to Hooke’s law and elasticity energy are explained. We identify wave velocities and polarization vectors that are independent of the non-Cauchy part for acoustic wave propagation. Several bounds are derived for the elasticity invariant parameters.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 1","pages":"39 - 77"},"PeriodicalIF":1.8,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47277993","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
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
{"title":"Construction of Invariant Relations of (n) Symmetric Second-Order Tensors","authors":"Adair Roberto Aguiar,&nbsp;Gabriel Lopes da Rocha","doi":"10.1007/s10659-023-10031-y","DOIUrl":"10.1007/s10659-023-10031-y","url":null,"abstract":"<div><p>A methodology is presented to find either implicit or explicit relations, called syzygies, between invariants in a minimal integrity basis for <span>(n)</span> symmetric second-order tensors defined on a three-dimensional euclidean space. The methodology i) yields explicit non-polynomial expressions for certain invariants in terms of the remaining invariants in the integrity basis and ii) allows the construction of the implicit relations. The results of this investigation are important in modeling biological structures, which, in general, are non-homogeneous and made of anisotropic viscoelastic materials that are subjected to large deformations and are modeled through constitutive relations that depend on symmetric tensors.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"45 - 60"},"PeriodicalIF":2.0,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42042772","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
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
{"title":"Edge Crack Subject to Anti-Plane Shear Wave in an Orthotropic Strip","authors":"Somashri Karan,&nbsp;Sourav Kumar Panja,&nbsp;Sanjoy Basu,&nbsp;Subhas Chandra Mandal","doi":"10.1007/s10659-023-10032-x","DOIUrl":"10.1007/s10659-023-10032-x","url":null,"abstract":"<div><p>In this article, the proposed model analyzed shear wave propagation through an orthotropic strip with an edge crack. Dual integral equations have been developed for solution of the governing mixed boundary value problem with the aid of Hankel transform technique. Then, the dual integral equations have been transformed into a second kind Fredholm integral equation employing Abel’s transformation. The numerical calculations of stress intensity factor and crack opening displacement are performed utilizing the Fox &amp; Goodwin method and displayed graphically. Elastic constants of two orthotropic materials have been used to illustrate the influence of material orthotropy and normalized strip width on SIF and COD.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 1","pages":"23 - 37"},"PeriodicalIF":1.8,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45488335","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
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
{"title":"Foreword: In Recognition of the 85th Birthday of Roger L. Fosdick","authors":"Ryan S. Elliott,&nbsp;Adair R. Aguiar,&nbsp;Yi-Chao Chen,&nbsp;Gianni Royer-Carfangi","doi":"10.1007/s10659-023-10033-w","DOIUrl":"10.1007/s10659-023-10033-w","url":null,"abstract":"","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"1 - 2"},"PeriodicalIF":2.0,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47013595","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 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
{"title":"A Class of Nonlinear Elasticity Problems with No Local but Many Global Minimizers","authors":"Yury Grabovsky,&nbsp;Lev Truskinovsky","doi":"10.1007/s10659-023-10026-9","DOIUrl":"10.1007/s10659-023-10026-9","url":null,"abstract":"<div><p>We present a class of models of elastic phase transitions with incompatible energy wells in an arbitrary space dimension, where in a hard device an abundance of Lipschitz global minimizers coexists with a complete lack of strong local minimizers. The analysis is based on the proof that every strong local minimizer in a hard device is also a global minimizer which is applicable much beyond the chosen class of models. Along the way we show that a new demonstration of sufficiency for a subclass of affine boundary conditions can be built around a novel nonlinear generalization of the classical Clapeyron theorem.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"147 - 171"},"PeriodicalIF":2.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44163270","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
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
{"title":"Correction to: Harmonic Decomposition, Irreducible Basis Tensors, and Minimal Representations of Material Tensors and Pseudotensors","authors":"Chi-Sing Man,&nbsp;Wenwen Du","doi":"10.1007/s10659-023-10030-z","DOIUrl":"10.1007/s10659-023-10030-z","url":null,"abstract":"","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"43 - 43"},"PeriodicalIF":2.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43405914","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
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
{"title":"Decomposition of Rod Displacements via Bernoulli–Navier Displacements. Application: A Loading of the Rod with Shearing","authors":"Georges Griso","doi":"10.1007/s10659-023-10029-6","DOIUrl":"10.1007/s10659-023-10029-6","url":null,"abstract":"<div><p>Within the framework of linear elasticity, we show that any displacement of a straight rod is the sum of a Bernoulli–Navier displacement and two terms, one for shearing and the other for warping. Then, we load a straight rod so that bending and shear contribute the same to the rotations of the cross-section.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 1","pages":"1 - 22"},"PeriodicalIF":1.8,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44725975","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
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,&nbsp;Pavitra Murru,&nbsp;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
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