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Phase-field approaches to structural topology optimization

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Blank, Luise ; Garcke, Harald ; Sarbu, Lavinia ; Srisupattarawanit, Tarin ; Styles, Vanessa ; Voigt, Axel
Date of publication of this fulltext: 05 May 2010 07:48


The mean compliance minimization in structural topology optimization is solved with the help of a phase field approach. Two steepest descent approaches based on L2- and H-1 gradient flow dynamics are discussed.
The resulting flows are given by Allen-Cahn and Cahn-Hilliard type dynamics coupled to a linear elasticity system. We finally compare numerical results obtained from the two different approaches.

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