A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation

被引：86

作者：

Klaas, O ^{[1
]}

Maniatty, A ^{[1
]}

Shephard, MS ^{[1
]}

机构：

[1] Rensselaer Sch Engn, Sci Computat Res Ctr, Troy, NY 12180 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1999年 / 180卷 / 1-2期

关键词：

stabilized mixed finite element method; finite elasticity;

D O I：

10.1016/S0045-7825(99)00059-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A stabilized mixed finite element method for finite elasticity is presented. The method circumvents the fulfillment of the Ladyzenskaya-Babuska-Brezzi condition by adding mesh-dependent terms, which are functions of the residuals of the Euler-Lagrange equations, to the usual Galerkin method. The weak form and the linearized weak form are presented in terms of the reference and current configuration. Numerical experiments using a tetrahedral element with linear shape functions for the displacements and for the pressure show that the method successfully yields a stabilized element. (C) 1999 Elsevier Science S.A. All rights reserved.

引用

页码：65 / 79

页数：15

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