Quasi-Bifurcation in Dynamics of Elastic-Plastic Continua

[+] Author and Article Information
L. H. N. Lee

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Ind.

J. Appl. Mech 44(3), 413-418 (Sep 01, 1977) (6 pages) doi:10.1115/1.3424093 History: Received July 01, 1976; Revised January 01, 1977; Online July 12, 2010


In this study, a stability concept in terms of the properties of an effective force field is introduced. A criterion for determining certain infinitesimal disturbances which may amplify with time in an elastic-plastic body subject to prescribed initial, kinematic, and time-dependent traction boundary conditions is introduced and developed. The body may be made of a general work-hardening continuum having a piecewise continuous motion and finite deformation. The transition from the dynamic criterion to Hill’s quasi-static bifurcation criterion is indicated.

Copyright © 1977 by ASME
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