WIAS Preprint No. 1902, (2013)
Multi-material phase field approach to structural topology optimization
Authors
- Blank, Luise
- Farshbaf Shaker, Mohammad Hassan
ORCID: 0000-0003-0543-5938 - Garcke, Harald
- Rupprecht, Christoph
- Styles, Vanessa
2010 Mathematics Subject Classification
- 49Q10 74P05 74P15 90C52 65K15
Keywords
- shape and topology optimization, phase field approach, shape sensitivity analysis, gradient projection method
DOI
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.
Appeared in
- Trends in PDE Constrained Optimization, G. Leugering, P. Benner et al., eds., vol. 165 of International Series of Numerical Mathematics, Birkhäuser, Basel et al., 2014, pp. 231--246
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