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Structural and Multidisciplinary Optimization

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31-08-2018 | Research Paper

Projection-based two-phase minimum and maximum length scale control in topology optimization

Authors: Josephine V. Carstensen, James K. Guest

Published in: Structural and Multidisciplinary Optimization | Issue 5/2018

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Abstract

Length scale control in topology optimization is an important area of research with direct implications on numerical stability and solution manufacturability. Projection-based algorithms for continuum topology optimization have received considerable attention in recent years due to their ability to control minimum length scale in a flexible and computationally efficient manner. In this paper, we propose a new projection-based algorithm that embeds minimum length scale control on two material phases (e.g., solid and void) as well as optional maximum length scale on one material phase (e.g., solid or void) into the projection methodology used for material distribution approaches to topology optimization. The proposed algorithms are demonstrated on benchmark problems and are shown to satisfy the length scale constraints imposed.

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Title: Projection-based two-phase minimum and maximum length scale control in topology optimization
Authors: Josephine V. Carstensen
James K. Guest
Publication date: 31-08-2018
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 5/2018
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-018-2066-4

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