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Enhanced assumed strain elements and locking in membrane problems

delete1998-11-01
delete39
PRE
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Dietrich Braess *
DOI：10.1016/S0045-7825(98)00037-1delete
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Abstract

Abstract

En 中文
The assumptions which guarantee convergence of EAS elements first introduced by Simo and Rifai, can be reduced to two postulates. Specifically, the stability condition refers to a relaxed stability of an associated Hu-Washizu principle. We investigate the problem of volume locking of membrane problems. Estimates of a certain type which for instance imply Volume locking of the Q1-element, are fortunately not present with EAS elements. Finally we verify an equivalence of the EAS concept with a Hellinger-Reissner method which was observed in numerical computations by Andelfinger and Ramm. (C) 1998 Elsevier Science S.A. All rights reserved.
Keywords:
EQUIVALENCE
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

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