Blank, Luise and Garcke, Harald and Sarbu, Lavinia and Srisupattarawanit, Tarin and Styles, Vanessa and Voigt, Axel (2010) Phase-field approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 6/2010, Working Paper. (Unpublished)
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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|Item type:||Monograph (Working Paper)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Structural topology optimization, Phase-field approximation, Allen-Cahn model, Cahn-Hilliard model, Elasticity, Gradient flow|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited on:||05 May 2010 07:48|
|Last modified:||13 Mar 2014 13:21|