A polyconvex formulation of isotropic elastoplasticity theory

被引：12

作者：

Krishnan, Jyothi ^{[1
]}

Steigmann, David J. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2014年 / 79卷 / 05期

关键词：

polyconvexity; isotropy; elastoplasticity; GRADIENT PLASTICITY SOLUTION; ENERGY FUNCTIONS; FINITE STRAIN; SIMPLE BODIES; DISLOCATIONS; ELASTICITY; SYMMETRY; INVARIANTS; STRESS; MODEL;

D O I：

10.1093/imamat/hxt049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model of finite-deformation elastoplasticity theory that accommodates finite elastic strain is discussed. This is based on a polyconvex extension of the classical Hookean relation between stress and elastic strain. A framework for the description of scale effects associated with strain hardening is also developed, based on the theory of materially uniform bodies with inhomogeneities.

引用

页码：722 / 738

页数：17

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