article

Level-set methods for structural topology optimization: a review

Authors:

F. KeulenAuthors Info & Claims

Structural and Multidisciplinary Optimization, Volume 48, Issue 3

Pages 437 - 472

https://doi.org/10.1007/s00158-013-0912-y

Published: 01 September 2013 Publication History

Abstract

This review paper provides an overview of different level-set methods for structural topology optimization. Level-set methods can be categorized with respect to the level-set-function parameterization, the geometry mapping, the physical/mechanical model, the information and the procedure to update the design and the applied regularization. Different approaches for each of these interlinked components are outlined and compared. Based on this categorization, the convergence behavior of the optimization process is discussed, as well as control over the slope and smoothness of the level-set function, hole nucleation and the relation of level-set methods to other topology optimization methods. The importance of numerical consistency for understanding and studying the behavior of proposed methods is highlighted. This review concludes with recommendations for future research.

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Cited By

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Level-set methods for structural topology optimization: a review

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cover image Structural and Multidisciplinary Optimization

Structural and Multidisciplinary Optimization Volume 48, Issue 3

September 2013

242 pages

ISSN:1615-147X

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Copyright © Copyright © 2013 Springer-Verlag Berlin Heidelberg.

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Springer-Verlag

Berlin, Heidelberg

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Published: 01 September 2013

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Park YSong CHahn JKang M(2024) ReSDFJournal of Computational Physics10.1016/j.jcp.2024.112803502:COnline publication date: 1-Apr-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112803
Ha TYoon G(2024)Improving the performance of destructive interference phononic crystal structure through topology optimizationFinite Elements in Analysis and Design10.1016/j.finel.2024.104138235:COnline publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1016/j.finel.2024.104138
Wang CWu Y(2024)Toward static and transient stress-constrained topology optimization for shell-infill structuresComputers and Structures10.1016/j.compstruc.2024.107370299:COnline publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1016/j.compstruc.2024.107370
Zhou YGao LLi H(2024)A ready-to-manufacture optimization design of 3D chiral auxetics for additive manufacturingEngineering with Computers10.1007/s00366-023-01880-140:3(1517-1538)Online publication date: 1-Jun-2024
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Wang MHu JLuo YLiu S(2024)A concurrent optimization method of compliant structures embedded with movable piezoelectric actuators considering fundamental frequency constraintsStructural and Multidisciplinary Optimization10.1007/s00158-024-03869-w67:8Online publication date: 14-Aug-2024
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Villalba DParís JCouceiro INavarrina F(2024)Isogeometric topology optimization of structures using the overweight approachStructural and Multidisciplinary Optimization10.1007/s00158-024-03782-267:5Online publication date: 11-May-2024
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Castañar IBaiges JCodina R(2024)Topology optimization of incompressible structures subject to fluid–structure interactionStructural and Multidisciplinary Optimization10.1007/s00158-024-03770-667:6Online publication date: 27-May-2024
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Amir O(2024)One-shot procedures for efficient minimum compliance topology optimizationStructural and Multidisciplinary Optimization10.1007/s00158-024-03763-567:3Online publication date: 29-Feb-2024
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