Topology optimization using an explicit interface representation

Publication: Research - peer-reviewJournal article – Annual report year: 2013

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We introduce the Deformable Simplicial Complex method to topology optimization as a way to represent the interface explicitly yet being able to handle topology changes. Topology changes are handled by a series of mesh operations, which also ensures a well-formed mesh. The same mesh is therefore used for both finite element calculations and shape representation. In addition, the approach unifies shape and topology optimization in a complementary optimization strategy. The shape is optimized on the basis of the gradient-based optimization algorithm MMA whereas holes are introduced using topological derivatives. The presented method is tested on two standard minimum compliance problems which demonstrates that it is both simple to apply, robust and efficient.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume49
Issue number3
Pages (from-to)387-399
ISSN1615-147X
DOIs
StatePublished - 2014
CitationsWeb of Science® Times Cited: 13

    Keywords

  • Topology optimization, Topological derivative, Non-parametric shape optimization, Explicit interface representation, Deformable simplicial complex method
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