Hyperelastic bodies under homogeneous Cauchy stress induced by non homogeneous finite deformations

被引：14
|
作者：
Mihai, L. Angela [1 ]
Neff, Patrizio [2 ]
机构：
[1] Cardiff Univ, Sch Math, Senghennydd Rd, Cardiff CF24 4AG, S Glam, Wales
[2] Univ Duisburg Essen, Fak Math, Chair Nonlinear Anal & Modelling, Thea Leymann Srass E 9, D-45141 Essen, Germany
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 89卷
基金：
英国工程与自然科学研究理事会;
关键词：
Nonlinear elasticity; Invertible stress-strain law; Non-homogeneous deformations; Rank-one connectivity; Loss of ellipticity; STRAIN; POLYCONVEXITY; EXISTENCE;
D O I：
10.1016/j.ijnonlinmec.2016.12.003
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We discuss whether homogeneous Cauchy stress implies homogeneous strain in isotropic nonlinear elasticity. While for linear elasticity the positive answer is clear, we exhibit, through detailed calculations, an example with inhomogeneous continuous deformation but constant Cauchy stress. The example is derived from a non rank-one convex elastic energy.
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页码：93 / 100
页数：8
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