Topology optimization approaches A comparative review

Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsøe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and sever...

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Veröffentlicht in:Structural and multidisciplinary optimization Jg. 48; H. 6; S. 1031 - 1055
Hauptverfasser: Sigmund, Ole, Maute, Kurt
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
Schlagworte:
Computational Mathematics and Numerical Analysis
Engineering
Engineering Design
Review Article
Theoretical and Applied Mechanics
Topology optimization
Phase field methods
Density methods
Level set methods
Structural optimization
Topological derivatives
ISSN:1615-147X, 1615-1488
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Beschreibung
Zusammenfassung:Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsøe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-013-0978-6