Causes and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss-Reference-Cited by-同舟云学术

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

Published:1986-06-01 Issue:2 Volume:53 Page:235-241
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Hodge P. G.¹,Bathe K.-J.²,Dvorkin E. N.³

Affiliation:

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

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

3. Universidad de Buenos Aires, Buenos Aires, Argentina

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/53/2/235/5458569/235_1.pdf

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