Multi-material phase field approach to structural topology optimization

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 \(H^1\)-gradient pro...

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Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Blank, Luise, M Hassan Farshbaf-Shaker, Garcke, Harald, Rupprecht, Christoph, Styles, Vanessa
Format: Article
Language:English
Subjects:
Numerical methods
Shape optimization
Topology optimization
Online Access:Get full text
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Summary: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 \(H^1\)-gradient projection method is introduced and finally several numerical results demonstrate the applicability of the approach.
ISSN:2331-8422