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Published in: Structural and Multidisciplinary Optimization 4/2014

01-10-2014 | RESEARCH PAPER

Material interface effects on the topology optimizationof multi-phase structures using a level set method

Authors: Natasha Vermaak, Georgios Michailidis, Guillaume Parry, Rafael Estevez, Grégoire Allaire, Yves Bréchet

Published in: Structural and Multidisciplinary Optimization | Issue 4/2014

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Abstract

A level set method is used as a framework to study the effects of including material interface properties in the optimization of multi-phase elastic and thermoelastic structures. In contrast to previous approaches, the material properties do not have a discontinuous change across the interface that is often represented by a sharp geometric boundary between material regions. Instead, finite material interfaces with monotonic and non-monotonic property variations over a physically motivated interface zone are investigated. Numerical results are provided for several 2D problems including compliance and displacement minimization of structures composed of two and three materials. The results highlight the design performance changes attributed to the presence of the continuously graded material interface properties.

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Metadata
Title
Material interface effects on the topology optimizationof multi-phase structures using a level set method
Authors
Natasha Vermaak
Georgios Michailidis
Guillaume Parry
Rafael Estevez
Grégoire Allaire
Yves Bréchet
Publication date
01-10-2014
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 4/2014
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-014-1074-2

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