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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 6/2011

01-06-2011 | Research Paper

Connections between topological sensitivity analysis and material interpolation schemes in topology optimization

Author: Samuel Amstutz

Published in: Structural and Multidisciplinary Optimization | Issue 6/2011

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Abstract

Material interpolation schemes, like SIMP, are very popular in topology optimization. They convert the difficult 0-1 problem into a nonlinear programming problem defined over a convex set by involving an interpolation (or penalization) function, usually constructed in rather empirical ways. This paper gives an insight into such methods with the help of the notion of topological sensitivity, and in particular provides some arguments for the choice of the penalization function. A simple algorithm based on these concepts is proposed and illustrated by numerical experiments.
previous article Analytical and numerical solutions for a reliability-based benchmark example
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Appendix
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Metadata
Title
Connections between topological sensitivity analysis and material interpolation schemes in topology optimization
Author
Samuel Amstutz
Publication date
01-06-2011
Publisher
Springer-Verlag
Published in
Structural and Multidisciplinary Optimization / Issue 6/2011
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-010-0607-6

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