Constitutive Equations of Elastoplastic Materials With Anisotropic Hardening and Elastic-Plastic Transition

[+] Author and Article Information
K. Hashiguchi

Department of Agricultural Engineering, Kyushu University, Fukuoka, Japan

J. Appl. Mech 48(2), 297-301 (Jun 01, 1981) (5 pages) doi:10.1115/1.3157612 History: Received June 01, 1980; Revised November 01, 1980; Online July 21, 2009


Constitutive equations of elastoplastic materials with anisotropic hardening and elastic-plastic transition are presented by introducing three similar surfaces, i.e., a loading surface on which a current stress exists, a subyield surface limiting a size of the loading surface and a distinct-yield surface representing a fully plastic state. The assumption of similarity of these surfaces leads the derived equations to remarkably simple forms. Also a more general rule of the kinematic hardening for the distinct-yield surface is incorporated into the constitutive equations. While they seem to be applicable to various materials, special constitutive equations of metals, for example, are derived from them and are compared with experimental data on a cyclic uniaxial loading of aluminum. A close correlation between theory and experiment is observed in this comparison.

Copyright © 1981 by ASME
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