Nonuniqueness in Contained Plastic Deformation

[+] Author and Article Information
P. G. Hodge, D. L. White

Department of Aero Engineering and Mechanics, University of Minnesota, Minneapolis, Minn. 55455

J. Appl. Mech 47(2), 273-277 (Jun 01, 1980) (5 pages) doi:10.1115/1.3153654 History: Received July 01, 1979; Revised November 01, 1979; Online July 21, 2009


It is well known that in a well-defined load-controlled boundary-value problem for an elastic/perfectly-plastic structure the displacements are unique if the structure is everywhere elastic, and they are not unique at the yield-point load when the structure becomes a mechanism. The present paper is concerned with the range of contained plastic deformation between these two extremes. Several examples are given in which more than one displacement field exists for loads less than the yield-point load. The significance of this phenomenon is commented on from a physical, mathematical, and computational point of view.

Copyright © 1980 by ASME
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