Adaptive numerical analysis in primal elastoplasticity with hardening

被引：60

作者：

Alberty, J ^{[1
]}

Carstensen, C ^{[1
]}

Zarrabi, D ^{[1
]}

机构：

[1] Univ Kiel, Math Seminar 2, D-24098 Kiel, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1999年 / 171卷 / 3-4期

关键词：

D O I：

10.1016/S0045-7825(98)00210-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The quasi-static viscoplastic resp. elastoplastic evolution problem with isotropic or kinematic hardening is considered with emphasis on optimal convergence and adapted mesh-refining in the spatial discretization. Within one time-step of an implicit time-discretization, the finite element method leads to a minimisation problem for non-smooth convex functions on discrete subspaces. For piecewise constant resp. affine ansatz functions, the stress resp, displacement approximations are experimentally and theoretically shown to converge linearly. An a posteriori error estimate then justifies an automatic adaptive mesh-refining algorithm. Numerical examples support the superiority of the adapted mesh. (C) 1999 Published by Elsevier Science S.A. All rights reserved.

引用

页码：175 / 204

页数：30