Premium
Treatment of internal constraints by mixed finite element methods: Unification of concepts
Author(s) -
Weissman Shmuel L.,
Taylor Robert L.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330109
Subject(s) - finite element method , a priori and a posteriori , mixed finite element method , unification , mathematics , compressibility , plane stress , context (archaeology) , extended finite element method , element (criminal law) , mathematical analysis , calculus (dental) , geometry , mathematical optimization , computer science , structural engineering , mechanics , physics , engineering , political science , programming language , medicine , paleontology , philosophy , epistemology , dentistry , law , biology
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.