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 H1-gradient projection method is introduced and finally several numerical results demonstrate the applicability of the approach.

URI

https://doi.org/10.34657/2714
https://oa.tib.eu/renate/handle/123456789/3018

Citation

Blank, L., Farshbaf-Shaker, M. H., Garcke, H., Rupprecht, C., & Styles, V. (2013). Multi-material phase field approach to structural topology optimization. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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