Simultaneous Material and Topology Optimization Based on Topological Derivatives

Beitrag in einem Sammelwerk
(Buchkapitel)


Details zur Publikation

Autorinnen und Autoren: Greifenstein J, Stingl M
Herausgeber: Christian Pötzsche, Clemens Heuberger, Barbara Kaltenbacher, Franz Rendl
Titel Sammelwerk: System Modeling and Optimization
Verlag: Springer
Verlagsort: Berlin Heidelberg
Jahr der Veröffentlichung: 2014
Titel der Reihe: IFIP Advances in Information and Communication Technology
Band: 443
Seitenbereich: 118-127
ISSN: 1868-4238


Abstract


We use an asymptotic expansion of the compliance cost functional in linear elasticity to find the optimal material inside elliptic inclusions. We extend the proposed method to material optimization on the whole domain and compare the global quality of the solutions for different inclusion sizes. Specifically, we use an adjusted free material optimization problem, that can be solved globally, as a global lower material optimization bound. Finally, the asymptotic expansion is used as a topological derivative in a simultaneous material and topology optimization problem.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Greifenstein, Jannis
Sonderforschungsbereich 814/3 Additive Fertigung
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Zitierweisen

APA:
Greifenstein, J., & Stingl, M. (2014). Simultaneous Material and Topology Optimization Based on Topological Derivatives. In Christian Pötzsche, Clemens Heuberger, Barbara Kaltenbacher, Franz Rendl (Eds.), System Modeling and Optimization. (pp. 118-127). Berlin Heidelberg: Springer.

MLA:
Greifenstein, Jannis, and Michael Stingl. "Simultaneous Material and Topology Optimization Based on Topological Derivatives." System Modeling and Optimization. Ed. Christian Pötzsche, Clemens Heuberger, Barbara Kaltenbacher, Franz Rendl, Berlin Heidelberg: Springer, 2014. 118-127.

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Zuletzt aktualisiert 2019-21-07 um 07:24