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Multi-material phase field approach to structural topology optimization

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Blank, Luise ; Farshbaf-Shaker, Hassan ; Garcke, Harald ; Rupprecht, Christoph ; Styles, Vanessa
Date of publication of this fulltext: 08 Apr 2014 06:27


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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