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The mixed finite element method in plane elasticity

✍ Scribed by F. A. Mirza; M. D. Olson

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
706 KB
Volume
15
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

Studies of the convergence and performance of the mixed finite element method in plane elasticity are reported. A completeness criterion is proposed, and convergence rates for stresses and strain energy, as predicted elsewhere, are quoted. An eigenvalue analysis of the mixed element matrix is carried out for various combinations of interpolations for displacements and stresses in a triangular and a rectangular element, and the results are discussed in relation to the completeness criterion. Finally, a triangular element with linear interpolations for stresses and displacements is formulated and its use is demonstrated on several numerical examples.

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