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Blank, Luise ; Garcke, Harald ; Farshbaf-Shaker, Hassan ; Styles, Vanessa

Relating phase field and sharp interface approaches to structural topology optimization

Blank, Luise, Garcke, Harald , Farshbaf-Shaker, Hassan und Styles, Vanessa (2014) Relating phase field and sharp interface approaches to structural topology optimization. Control, Optimisation and Calculus of Variations (ESAIM-COCV) 20, S. 1025-1058.

Veröffentlichungsdatum dieses Volltextes: 30 Sep 2016 08:53
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.34578


Zusammenfassung

A phase field approach for structural topology optimization which allows for topology changes and multiple materials is analyzed. First order optimality conditions are rigorously derived and it is shown via formally matched asymptotic expansions that these conditions converge to classical first order conditions obtained in the context of shape calculus. We also discuss how to deal with triple ...

A phase field approach for structural topology optimization which allows for topology changes and multiple materials is analyzed. First order optimality conditions are rigorously derived and it is shown via formally matched asymptotic expansions that these conditions converge to classical first order conditions obtained in the context of shape calculus. We also discuss how to deal with triple junctions where e.g. two materials and the void meet. Finally, we present several numerical results for mean compliance problems and a cost involving the least square error to a target displacement.



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Details

DokumentenartArtikel
Titel eines Journals oder einer ZeitschriftControl, Optimisation and Calculus of Variations (ESAIM-COCV)
Verlag:EDP SCIENCES S A
Ort der Veröffentlichung:LES ULIS CEDEX A
Band:20
Seitenbereich:S. 1025-1058
Datum2014
InstitutionenMathematik > Prof. Dr. Harald Garcke
Identifikationsnummer
WertTyp
10.1051/cocv/2014006DOI
Klassifikation
NotationArt
49Q10MSC
74P10MSC
49Q20MSC
74P10MSC
49Q20MSC
74P05MSC
65M60MSC
Stichwörter / KeywordsDIFFUSION; SYSTEMS; STRESS; MOTION; TRANSITIONS; MODELS; Structural topology optimization; linear elasticity; phase-field method; first order conditions; matched asymptotic expansions; shape calculus; numerical simulations
Dewey-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 510 Mathematik
StatusVeröffentlicht
BegutachtetJa, diese Version wurde begutachtet
An der Universität Regensburg entstandenJa
URN der UB Regensburgurn:nbn:de:bvb:355-epub-345788
Dokumenten-ID34578

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