Second-Order Cone and Semidefinite Representations of Material Failure Criteria

C. D. Bisbos () and P. M. Pardalos
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C. D. Bisbos: Aristotle University
P. M. Pardalos: University of Florida

Journal of Optimization Theory and Applications, 2007, vol. 134, issue 2, No 8, 275-301

Abstract: Abstract A class of important problems in structural mechanics leads to optimization problems with linear objective functions and constraints consisting in (a) linear equalities and (b) inequalities imposed by the material strength, the so-called failure criteria. It is shown that a wide variety of failure criteria can be represented as systems of either second-order cone or semidefinite constraints, giving rise to respective optimization problems.

Keywords: Second-order cone programming; Semidefinite programming; Matrix spread; Failure criteria; Limit and shakedown analysis (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9243-8

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