On the Numerical Implementation of Elastoplastic Models

[+] Author and Article Information
P. J. Yoder

School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Ga. 30332

R. G. Whirley

Department of Applied Mechanics 104-44, California Institute of Technology, Pasadena, Calif. 91125

J. Appl. Mech 51(2), 283-288 (Jun 01, 1984) (6 pages) doi:10.1115/1.3167613 History: Received June 01, 1983; Revised October 01, 1983; Online July 21, 2009


A closed-form solution is given for the way stresses evolve during an elastoplastic time step under conditions of purely kinematic hardening or softening. When isotropic effects are included, the analysis becomes more difficult, so a perturbation solution is developed. These solutions are then compared with various algorithms commonly used in finite element programs in order to assess the trade-offs between accuracy and computational efficiency.

Copyright © 1984 by ASME
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