On a Modified Hellinger/Reissner Variational Theorem for the Analysis of Elastoplastic Solids

[+] Author and Article Information
Dimitrios Karamanlidis

Department of Civil Engineering, University of Rhode Island, Kingston, RI 02881

J. Appl. Mech 55(3), 536-538 (Sep 01, 1988) (3 pages) doi:10.1115/1.3125826 History: Received June 18, 1986; Revised January 21, 1988; Online July 21, 2009


A new general variational theorem is proposed for the analysis of elastoplastic solids. By utilizing the method of Lagrangian multipliers, a Hellinger/Reissner-type theorem is derived wherein the yield criterion along with the flow rule are satisfied a posteriori as Euler/Lagrange equations. The proposed formulation represents a rational generalization of the classical Hellinger/Reissner variational theorem for it treats all relevant field equations for an elastoplastic boundary-value problem as natural constraints.

Copyright © 1988 by ASME
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