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
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ISSN:1615-147X, 1615-1488
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Abstract 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.
AbstractList 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.
Author Sigmund, Ole
Maute, Kurt
Author_xml – sequence: 1
  givenname: Ole
  surname: Sigmund
  fullname: Sigmund, Ole
  email: sigmund@mek.dtu.dk
  organization: Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark
– sequence: 2
  givenname: Kurt
  surname: Maute
  fullname: Maute, Kurt
  organization: Aerospace Engineering Sciences, University of Colorado
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Issue 6
Keywords Topology optimization
Phase field methods
Density methods
Level set methods
Structural optimization
Topological derivatives
Language English
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PublicationTitle Structural and multidisciplinary optimization
PublicationTitleAbbrev Struct Multidisc Optim
PublicationYear 2013
Publisher Springer Berlin Heidelberg
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Snippet 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...
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SubjectTerms Computational Mathematics and Numerical Analysis
Engineering
Engineering Design
Review Article
Theoretical and Applied Mechanics
Subtitle A comparative review
Title Topology optimization approaches
URI https://link.springer.com/article/10.1007/s00158-013-0978-6
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