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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Vydáno v:Structural and multidisciplinary optimization Ročník 48; číslo 6; s. 1031 - 1055
Hlavní autoři: Sigmund, Ole, Maute, Kurt
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
Témata:
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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Shrnutí: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