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Structural and Multidisciplinary Optimization

, Volume 59, Issue 5, pp 1775–1788 | Cite as

Explicit level set and density methods for topology optimization with equivalent minimum length scale constraints

  • Miche JansenEmail author
Research Paper
  • 264 Downloads

Abstract

The goal of this paper is to introduce local length scale control in an explicit level set method for topology optimization. The level set function is parametrized explicitly by filtering a set of nodal optimization variables. The extended finite element method (XFEM) is used to represent the non-conforming material interface on a fixed mesh of the design domain. In this framework, a minimum length scale is imposed by adopting geometric constraints that have been recently proposed for density-based topology optimization with projections filters. Besides providing local length scale control, the advantages of the modified constraints are twofold. First, the constraints provide a computationally inexpensive solution for the instabilities which often appear in level set XFEM topology optimization. Second, utilizing the same geometric constraints in both the density-based topology optimization and the level set optimization enables to perform a more unbiased comparison between both methods. These different features are illustrated in a number of well-known benchmark problems for topology optimization.

Keywords

Topology optimization Level set XFEM Design regularization Minimum length scale 

Notes

Funding information

The work presented in this paper was performed in the framework of the Any-Shape 4.0 project supported by the Walloon Region (grant number 151066).

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.CenaeroGosseliesBelgium

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