Linear stress-strain relations in nonlinear elasticity

被引：14

作者：

Chiskis, A ^{[1
]}

Parnes, R ^{[1
]}

机构：

[1] Tel Aviv Univ, Fac Engn, Dept Solid Mech Mat & Struct, IL-69978 Ramat Aviv, Israel

来源：

ACTA MECHANICA | 2001年 / 146卷 / 1-2期

关键词：

Deformation - Poisson ratio - Strain rate - Stress analysis - Tensors - Vectors;

D O I：

10.1007/BF01178798

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Nonlinear strain measures which are compatible with the existence of an elastic potential and lead to a linear stress-strain relation are obtained. An unusual property of these measures is their dependence on material parameters. Standard strain measures commonly used in nonlinear elasticity are shown to be consistent with linear stress-strain relations only for particular cases of Poisson's ratio. Corresponding potentials for these cases are presented.

引用

页码：109 / 113

页数：5