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RESEARCH PAPERS

On the Variational Foundations of Assumed Strain Methods

[+] Author and Article Information
J. C. Simo, T. J. R. Hughes

Division of Applied Mechanics, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 53(1), 51-54 (Mar 01, 1986) (4 pages) doi:10.1115/1.3171737 History: Received June 25, 1985; Revised September 10, 1985; Online July 21, 2009

Abstract

So-called assumed strain methods are based on the a-priori assumption of an interpolation for the discrete gradient operator, not necessarily derivable from the displacement interpolation. It is shown that this class of methods falls within the class of variational methods based on the Hu-Washizu principle. The essential point of this equivalence lies in the statement of the appropriate stress recovery procedure compatible with this variational structure. It is noted that most currently existing assumed strain methods fail to perform the stress recovery in a manner consistent with the variational structure discussed herein. Application is made to recently proposed methods such as mode decomposition techniques.

Copyright © 1986 by ASME
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