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Structural and Multidisciplinary Optimization

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08.02.2016 | RESEARCH PAPER

A first order approach for worst-case shape optimization of the compliance for a mixture in the low contrast regime

verfasst von: Marc Dambrine, Antoine Laurain

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2016

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Abstract

The purpose of this article is to propose a deterministic method for optimizing a structure considering its worst possible behaviour when a small uncertainty exists over its Lamé parameters. The idea is to take advantage of the small parameter to derive an asymptotic expansion of the displacement and of the compliance with respect to the contrast in Lamé coefficients. We are then able to compute the worst case design as post-treatment of the computation of the displacement field for the nominal parameters. The domain evolution resulting from the optimization is performed here using the level set method. The computational cost of our method remains of the same order as the cost of the optimization for a homogeneous material.

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Titel: A first order approach for worst-case shape optimization of the compliance for a mixture in the low contrast regime
verfasst von: Marc Dambrine
Antoine Laurain
Publikationsdatum: 08.02.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 2/2016
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-015-1384-z

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