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Second-Order Cone and Semidefinite Representations of Material Failure Criteria

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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.

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Authors and Affiliations

  1. Institute of Steel Structures, Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

    C. D. Bisbos

  2. Center of Applied Optimization, Department of Industrial and System Engineering, University of Florida, Gainsville, FL, USA

    P. M. Pardalos

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  1. C. D. Bisbos
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  2. P. M. Pardalos
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Correspondence to C. D. Bisbos.

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Work partially supported by Air Force grants.

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Bisbos, C.D., Pardalos, P.M. Second-Order Cone and Semidefinite Representations of Material Failure Criteria. J Optim Theory Appl 134, 275–301 (2007). https://doi.org/10.1007/s10957-007-9243-8

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