A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance

[+] Author and Article Information
V. A. Lubarda

Department of Mechanical Engineering, University of Titograd, Titograd, Yugoslavia

E. H. Lee

Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 48(1), 35-40 (Mar 01, 1981) (6 pages) doi:10.1115/1.3157589 History: Received March 01, 1980; Revised August 01, 1980; Online July 21, 2009


The plastic part of an elastic-plastic deformation is that remaining when the stress, and hence the elastic strain, is reduced to zero. Elastic deformation is that produced in this purely plastically deformed material by the action of stresses up to yield. The associated exact finite-deformation kinematics shows the almost universal assumption that the total rate of deformation is the sum of elastic and plastic rates to be in error. An incremental elastic-plastic theory is developed using the nonlinear kinematics. The theory is contrasted with that in common use and anomalies in the latter are discussed.

Copyright © 1981 by ASME
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