Affiliation:
1. Division of Applied Mechanics, Stanford University, Stanford, Calif. 94305
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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
340 articles.
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