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.
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页码：1059 / 1073
页数：15
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