Elastic-Plastic Deformation at Finite Strains

[+] Author and Article Information
E. H. Lee

Department of Applied Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 36(1), 1-6 (Mar 01, 1969) (6 pages) doi:10.1115/1.3564580 History: Received June 13, 1968; Online September 14, 2011


In some circumstances, elastic-plastic deformation occurs in which both components of strain are finite. Such situations fall outside the scope of classical plasticity theory which assumes either infinitesimal strains or plastic-rigid theory for large strains. The present theory modifies the kinematics to include finite elastic and plastic strain components. For situations requiring this generalization, dilatational influences are usually significant including thermomechanical coupling. This is introduced through the consideration of two coupled thermodynamic systems: one comprising thermoelasticity at finite strain and the other the irreversible process of dissipation and absorption of plastic work. The present paper generalizes a previous theory to permit arbitrary deformation histories.

Copyright © 1969 by ASME
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