NUMERICAL-ANALYSIS OF A BIDIMENSIONAL HENCKY PROBLEM APPROXIMATED BY A DISCONTINUOUS FINITE-ELEMENT METHOD

被引：1

作者：

BENDHIA, H ^{[1
]}

机构：

[1] ECOLE CENT PARIS,MECAN SOLS & STRUCT LAB,F-92295 CHATENAY MALABRY,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 04期

关键词：

DISCONTINUOUS FINITE ELEMENTS; ERROR ESTIMATES; PLASTICITY;

D O I：

10.1137/0729064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite element method for the solution of a bidimensional elastoplastic Hencky problem is formulated and analyzed. The discrete spaces consist of discontinuous piecewise polynomial functions. Convergence results for the discrete displacements are proved. Then, error estimates in L2-norms are stated for the stress tensors, under a piecewise H-2-regularity hypothesis that is both weaker than the one commonly used and physically admissible.

引用

页码：1059 / 1073

页数：15

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