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Phase-field approaches to structural topology optimization

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 (Unpublished)

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Abstract

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.

Item Type:Monograph (Working Paper)
Institutions: Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
74P15MSC
74P05MSC
74S03MSC
35K99MSC
Keywords:Structural topology optimization, Phase-field approximation, Allen-Cahn model, Cahn-Hilliard model, Elasticity, Gradient flow
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner:Eva Ruetz
Deposited On:05 May 2010 09:48
Last Modified:21 Jul 2011 00:27
Item ID:14656
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