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Relating phase field and sharp interface approaches to structural topology optimization

Blank, Luise, Farshbaf-Shaker, Hassan, Garcke, Harald and Styles, Vanessa (2013) Relating phase field and sharp interface approaches to structural topology optimization. Preprintreihe der Fakultät Mathematik 02/2013, Working Paper.

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Date of publication of this fulltext: 13 Mar 2013 09:59

Abstract

A phase field approach for structural topology optimization which allows for topology changes and multiple materials is analyzed. First order optimality conditions are rigorously derived and it is shown via formally matched asymptotic expansions that these conditions converge to classical first order conditions obtained in the context of shape calculus. We also discuss how to deal with triple ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2013
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
49Q10MSC
74P10MSC
49Q20MSC
74P05MSC
65M60MSC
Keywords:Structural topology optimization, linear elasticity, phase-field method, first order conditions, matched asymptotic expansions, shape calculus, numerical simulations
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:27917
Owner only: item control page

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