A Simplified Theory of the Constitutive Equations of Metal Plasticity at Finite Deformation

[+] Author and Article Information
Y.-S. Wang

Department of Civil and Geological Engineering, Princeton University, Princeton, N. J.

J. Appl. Mech 40(4), 941-947 (Dec 01, 1973) (7 pages) doi:10.1115/1.3423191 History: Received July 01, 1972; Revised December 01, 1972; Online July 12, 2010


Derivation of the constitutive equations of elastic-plastic and elastic-viscoplastic solids at finite deformations is discussed. The deformation is uncoupled by using the Lee-Freund three-configuration deformation model. By assuming elastic properties to be independent of plastic deformation, the elastic and plastic (or viscoplastic) constitutive equations are essentially uncoupled. The normality condition of the plastic strain-rate vector to the yield surface in stress space is obtained by incorporating the concept of internal variables in the energy equation.

Copyright © 1973 by ASME
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