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Structural and Multidisciplinary Optimization

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01-06-2017 | RESEARCH PAPER

On filter boundary conditions in topology optimization

Authors: Anders Clausen, Erik Andreassen

Published in: Structural and Multidisciplinary Optimization | Issue 5/2017

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Abstract

Most research papers on topology optimization involve filters for regularization. Typically, boundary effects from the filters are ignored. Despite significant drawbacks the inappropriate homogeneous Neumann boundary conditions are used, probably because they are trivial to implement. In this paper we define three requirements that boundary conditions must fulfill in order to eliminate boundary effects. Previously suggested approaches are briefly reviewed in the light of these requirements. A new approach referred to as the “domain extension approach” is suggested. It effectively eliminates boundary effects and results in well performing designs. The approach is intuitive, simple and easy to implement.

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Title: On filter boundary conditions in topology optimization
Authors: Anders Clausen
Erik Andreassen
Publication date: 01-06-2017
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 5/2017
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-017-1709-1

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