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Multi-material phase field approach to structural topology optimization
Blank, Luise, Farshbaf-Shaker, Hassan, Garcke, Harald, Rupprecht, Christoph and Styles, Vanessa (2013) Multi-material phase field approach to structural topology optimization. Preprintreihe der Fakultät Mathematik 22/2013, Working Paper.Date of publication of this fulltext: 08 Apr 2014 06:27
Monograph
DOI to cite this document: 10.5283/epub.29778
Abstract
Multi-material structural topology and shape optimization
problems are formulated within a phase field approach. First-order conditions are stated and the relation of the necessary conditions to classical shape derivatives are discussed. An efficient numerical method based on an H1-gradient projection method is introduced and finally several numerical results demonstrate the applicability of the approach.
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Details
| Item type | Monograph (Working Paper) | ||||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 22/2013 | ||||||||||||
| Date | 2013 | ||||||||||||
| Institutions | Mathematics > Prof. Dr. Harald Garcke | ||||||||||||
| Classification |
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| Keywords | Shape and topology optimization, phase �eld approach, shape sensitivity analysis, gradient projection method | ||||||||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||||||||
| Status | Unknown | ||||||||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||||||||
| Created at the University of Regensburg | Yes | ||||||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-297786 | ||||||||||||
| Item ID | 29778 |
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