Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity

[+] Author and Article Information
E. H. Lee, R. L. Mallett

Department of Mechanical Engineering and Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, N.Y. 12181

T. B. Wertheimer

MARC Analysis Research Corp., Palo Alto, Calif.

J. Appl. Mech 50(3), 554-560 (Sep 01, 1983) (7 pages) doi:10.1115/1.3167090 History: Received January 01, 1982; Revised December 01, 1982; Online July 21, 2009


Kinematic hardening represents the anisotropic component of strain hardening by a shift of the center of the yield surface in stress space. The current approach in stress analysis at finite deformation includes rotational effects by using the Jaumann derivatives of the shift and stress tensors. This procedure generates the unexpected result that oscillatory shear stress is predicted for monotonically increasing simple shear strain. A theory is proposed that calls for a modified Jaumann derivative based on the spin of specific material directions associated with the kinematic hardening. This eliminates the spurious oscillation. General anisotropic hardening is shown to require a similar approach.

Copyright © 1983 by ASME
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