Treatment of internal constraints by mixed finite element methods: Unification of concepts

✍ Scribed by Shmuel L. Weissman; Robert L. Taylor

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 828 KB
• Volume: 33
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620330109

✦ Synopsis

Abstract

A general method to generate assumed stress and strain fields within the context of mixed finite element methods is presented. The assumed fields are constructed in such a way that internal constraints are satisfied a priori. Consequently, the locking behaviour commonly observed in finite element solutions of problems with internal constraints is avoided. To this end, the assumed stress and strain fields are constructed to satisfy a priori the homogeneous part of the equilibrium equations, thus avoiding Fraeijs de Veubeke's limitation principle. Results obtained using the proposed methodology on a nearly incompressible plane strain problem and thin plate application using a shear deformable theory are indicated.