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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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| Dokumentenart | Artikel | ||||||||||||||||
| Titel eines Journals oder einer Zeitschrift | Control, Optimisation and Calculus of Variations (ESAIM-COCV) | ||||||||||||||||
| Verlag: | EDP SCIENCES S A | ||||||||||||||||
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| Ort der Veröffentlichung: | LES ULIS CEDEX A | ||||||||||||||||
| Band: | 20 | ||||||||||||||||
| Seitenbereich: | S. 1025-1058 | ||||||||||||||||
| Datum | 2014 | ||||||||||||||||
| Institutionen | Mathematik > Prof. Dr. Harald Garcke | ||||||||||||||||
| Identifikationsnummer |
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| Klassifikation |
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| Stichwörter / Keywords | DIFFUSION; 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-Klassifikation | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||||||||||||||
| Status | Veröffentlicht | ||||||||||||||||
| Begutachtet | Ja, diese Version wurde begutachtet | ||||||||||||||||
| An der Universität Regensburg entstanden | Ja | ||||||||||||||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-345788 | ||||||||||||||||
| Dokumenten-ID | 34578 |
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