Mixed finite element formulations with volume bubble functions for triangular elements

被引：9

作者：

Caylak, I. ^{[1
]}

Mahnken, R. ^{[1
]}

机构：

[1] Univ Paderborn, Chair Engn Mech LTM, D-33098 Paderborn, Germany

来源：

COMPUTERS & STRUCTURES | 2011年 / 89卷 / 21-22期

关键词：

Mixed finite element; Volume bubble; Incompatible modes; Enhanced strains; ELASTICITY; STABILITY;

D O I：

10.1016/j.compstruc.2011.07.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with volume bubble functions for mixed finite triangular elements in geometrically linear elasticity. In two different versions these functions are used in order to enrich the displacement field and the enhanced strain field, respectively. Appropriate conditions for satisfaction of the patch test are verified. In the numerical example, firstly the patch test is satisfied. Secondly, simulations of Cook's membrane problem demonstrate that the proposed formulations avoid locking and reduce stress oscillations for incompressible materials. (C) 2011 Civil-Comp Ltd and Elsevier Ltd. All rights reserved.

引用

页码：1844 / 1851

页数：8

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