Greifenstein J, Stingl M (2014)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2014
Publisher: Springer
Edited Volumes: System Modeling and Optimization
Series: IFIP Advances in Information and Communication Technology
City/Town: Berlin Heidelberg
Book Volume: 443
Pages Range: 118-127
DOI: 10.1007/978-3-662-45504-3_11
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.
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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