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Semidefinite optimization models for limit and shakedown analysis problems involving matrix spreads

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Abstract

Limit and shakedown analysis problems of Computational Mechanics lead to convex optimization problems, characterized by linear objective functions, linear equality constraints and constraints expressing the restrictions imposed by the material strength. It is shown that two important strength criteria, the Mohr–Coulomb and the Tresca criterion, can be represented as systems of semidefinite constraints, leading this way to semidefinite programming problems.

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Authors and Affiliations

  1. Institute of Steel Structures, Department of Civil Engineering, Aristotle University, 54124, Thessaloniki, Greece

    C. D. Bisbos

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  1. C. D. Bisbos
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Correspondence to C. D. Bisbos.

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Communicated by P. M. Pardalos.

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Bisbos, C.D. Semidefinite optimization models for limit and shakedown analysis problems involving matrix spreads. Optimization Letters 1, 101–109 (2007). https://doi.org/10.1007/s11590-006-0006-5

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  • DOI: https://doi.org/10.1007/s11590-006-0006-5

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