Finite element analysis and algorithms for single-crystal strain-gradient plasticity

被引：20

作者：

Reddy, B. D. ^{[2
]}

Wieners, C. ^{[1
]}

Wohlmuth, B. ^{[3
]}

机构：

[1] KIT, Inst Angew & Numer Math, Karlsruhe, Germany

[2] Univ Cape Town, Ctr Res Computat & Appl Mech, ZA-7700 Rondebosch, South Africa

[3] Tech Univ Munich, Fak Math M2, D-8046 Garching, Germany

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2012年 / 90卷 / 06期

基金：

奥地利科学基金会; 新加坡国家研究基金会;

关键词：

strain-gradient plasticity; single crystal; rate-independent; a priori finite element estimates; variational inequality; closest-point projection; FREE-ENERGY; DEFORMATION; FORMULATIONS; CONTINUUM; MODEL;

D O I：

10.1002/nme.3347

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We provide optimal a priori estimates for finite element approximations of a model of rate-independent single-crystal strain-gradient plasticity. The weak formulation of the problem takes the form of a variational inequality in which the primary unknowns are the displacement and slips on the prescribed slip systems, as well as the back-stress associated with the vectorial microstress. It is shown that the return mapping algorithm for local plasticity can be applied element-wise to this non-local setting. Some numerical examples illustrate characteristic features of the non-local model. Copyright (C) 2012 John Wiley & Sons, Ltd.

引用

页码：784 / 804

页数：21

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