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

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...

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Bibliographic Details
Published in:Journal of applied mechanics 1986-06, Vol.53 (2), p.235-241
Main Authors: Hodge, P. G, Bathe, K.-J, Dvorkin, E. N
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary: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.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.3171746