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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Bibliographic Details
Published in:	Structural and multidisciplinary optimization Vol. 48; no. 6; pp. 1031 - 1055
Main Authors:	Sigmund, Ole, Maute, Kurt
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
Subjects:	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
Online Access:	Get full text
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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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Keywords	Topology optimization Phase field methods Density methods Level set methods Structural optimization Topological derivatives
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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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Subtitle	A comparative review
Title	Topology optimization approaches
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