Constrained Elastic-Plastic Materials

[+] Author and Article Information
H. C. Lin, P. M. Naghdi

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Appl. Mech 61(3), 511-518 (Sep 01, 1994) (8 pages) doi:10.1115/1.2901489 History: Received December 17, 1992; Revised July 27, 1993; Online March 31, 2008


The main purpose of this paper is to present a general (purely mechanical) constrained theory of finitely deforming elastic-plastic materials. Our development is based on a strain-space formulation of plasticity and requires a detailed examination of the effect of constraint on various constitutive ingredients in the unconstrained theory, including the yield functions (in both the stress and strain spaces), the loading criteria, and various response functions. Also examined is the effect of constraint on the restrictions arising from the work inequality of Naghdi and Trapp (1975b).

Copyright © 1994 by The American Society of Mechanical Engineers
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