Causes and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss

[+] Author and Article Information
P. G. Hodge

Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455

K.-J. Bathe

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

E. N. Dvorkin

Universidad de Buenos Aires, Buenos Aires, Argentina

J. Appl. Mech 53(2), 235-241 (Jun 01, 1986) (7 pages) doi:10.1115/1.3171746 History: Received November 27, 1984; Revised August 01, 1985; Online July 21, 2009


A complete solution to collapse is given for a three-bar symmetric truss made of an elastic/perfectly-plastic material, using linear statics and kinematics, and the solution is found to be partially nonunique in the range of contained plastic deformation. The introduction of a first-order deviation from symmetry and/or the inclusion of first-order nonlinear terms in the equilibrium equations is found to restore uniqueness. The significance of these effects is analyzed and discussed from mathematical, physical, modelling, computational, and engineering points of view.

Copyright © 1986 by ASME
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