Journal of Elasticity最新文献_第6页

On the Question of the Sign of Size Effects in the Elastic Behavior of Foams 泡沫弹性行为中尺寸效应的符号问题

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, Alfons Ams, Geralf Hütter","doi":"10.1007/s10659-023-10037-6","DOIUrl":"https://doi.org/10.1007/s10659-023-10037-6","url":null,"abstract":"Abstract 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. 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.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","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":"","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

3区工程技术

Journal of Elasticity Pub Date : 2023-09-13 DOI: 10.1007/s10659-023-10036-7

M. B. Rubin

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

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 2 3区工程技术

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

S. Karan, S. K. Panja, S. Basu, S. 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 2 3区工程技术

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

G. Griso

引用次数: 2

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":null,"pages":null},"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 2 3区工程技术

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

H. Yin, Chao Liu

引用次数: 0