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RESEARCH PAPERS

A Velocity Approach to Elasto-Plastic and Elasto-Viscoplastic Calculation by the Finite Element Method

[+] Author and Article Information
J. L. Chenot, M. Bellet

Centre de Mise en Forme des Matériaux, Ecole Nationale Supérieure des Mines de Paris, et C.N.R.S. UA no 852, Sophia Antipolis, 06560, Valbonne, France

J. Eng. Ind 112(2), 150-154 (May 01, 1990) (5 pages) doi:10.1115/1.2899558 History: Received October 27, 1987; Online April 08, 2008

Abstract

A second order scheme for the time discretization of the elasto-plastic or elasto-viscoplastic behavior is proposed, based on a velocity approach. The complete set of equations is given for the evolution problem in the case of small rotations approximation. The method is quite general and may be applied to a large class of constitutive equations. The finite element discretization is briefly outlined and it is shown that the procedure is quite similar to that of previous displacement formulations. A numerical example concerning the sheet metal forming process, with an elasto-viscoplastic behavior and a membrane approximation, is presented. The numerical tests show a considerable improvement in accuracy for a given increment of time.

Copyright © 1990 by The American Society of Mechanical Engineers
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