A class of equivalent enhanced assumed strain and hybrid stress finite elements

被引：45

作者：

Bischoff, M

Ramm, E ^{[1
]}

Braess, D

机构：

[1] Univ Stuttgart, Inst Struct Mech, D-7000 Stuttgart, Germany

[2] Ruhr Univ Bochum, Math Inst, Bochum, Germany

来源：

COMPUTATIONAL MECHANICS | 1999年 / 22卷 / 06期

关键词：

D O I：

10.1007/s004660050378

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The interrelation of a certain class of finite elements based either on the Enhanced Assumed Strain (EAS) concept or the Hybrid Stress (HS) method is addressed. It is shown that both concepts lead to identical elements, if the material law is strongly satisfied in the Hu-Washizu principle. Conditions for the spaces of admissible functions are derived and the equivalence of the resulting weak formulations is proved. A 'recipe' for the selection of trial functions of corresponding elements is given, and a class of equivalent EAS- and MS-elements is presented.

引用

页码：443 / 449

页数：7

共 14 条

[1] EAS-ELEMENTS FOR 2-DIMENSIONAL, 3-DIMENSIONAL, PLATE AND SHELL STRUCTURES AND THEIR EQUIVALENCE TO HR-ELEMENTS [J].