Corotational Rates for Kinematic Hardening at Large Plastic Deformations

[+] Author and Article Information
Y. F. Dafalias

Department of Civil Engineering, University of California at Davis, Davis, Calif. 95616

J. Appl. Mech 50(3), 561-565 (Sep 01, 1983) (5 pages) doi:10.1115/1.3167091 History: Received May 01, 1982; Revised January 01, 1983; Online July 21, 2009


To illustate the effect of the choice of corotational rates at large plastic deformations, expressions for the stresses developing in large simple shear are obtained in closed analytical form under the assumptions of a rigid-plastic material response and a Mises type isotropically and kinematically hardening constitutive model for two different corotational rates applied to the stress and the back-stress tensors. The observed difference in the simple shear response and the relative merits of the foregoing and other corotational rates are discussed, and a novel approach is proposed based on Mandel’ work and the representation theorem for isotropic second-order antisymmetric tensor valued functions.

Copyright © 1983 by ASME
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