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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 3/2014

01.03.2014 | RESEARCH PAPER

Topology optimization using an explicit interface representation

verfasst von: Asger Nyman Christiansen, Morten Nobel-Jørgensen, Niels Aage, Ole Sigmund, Jakob Andreas Bærentzen

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2014

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Abstract

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.
Vorheriger Artikel Shape and topology optimization for closed liquid cell materials using extended multiscale finite element method
Nächster Artikel A local adaptive sampling method for reliability-based design optimization using Kriging model

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Fußnoten
1
Presented at the 10th World Congress on Structural and Multidisciplinary Optimization in 2013.
 
2
CHOLMOD is the default solver for sparse symmetric positive definite linear systems in MATLAB.
 
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Metadaten
Titel
Topology optimization using an explicit interface representation
verfasst von
Asger Nyman Christiansen
Morten Nobel-Jørgensen
Niels Aage
Ole Sigmund
Jakob Andreas Bærentzen
Publikationsdatum
01.03.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 3/2014
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-013-0983-9

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