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REVIEW ARTICLES

Internal Variable Formulations of Problems in Elastoplasticity: Constitutive and Algorithmic Aspects

[+] Author and Article Information
B. D. Reddy, J. B. Martin

FRD/UCT Centre for Research in Computational and Applied Mechanics, University of Cape Town, 7700 Rondebosch, South Africa

Appl. Mech. Rev 47(9), 429-456 (Sep 01, 1994) (28 pages) doi:10.1115/1.3111086 History: Online April 29, 2009

Abstract

This work surveys a broad range of related issues in quasistatic elastoplasticity, beginning with a development of an internal variable constitutive theory. The initial-boundary value problem is then considered, and the remainder of the work is concerned with the properties of the time-discrete problem. It is shown how this discrete problem has associated with it a holonomic constitutive law (that is, one relating stress to strain or strain increment), and this holonomic law in turn forms the basis of a solution algorithm. Conditions for the convergence of the algorithm are discussed. The entire treatment applies to the spatially continuous problem.

Copyright © 1994 by American Society of Mechanical Engineers
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