On the efficient solution of a patch problem with multiple elliptic inclusions

Schury F, Greifenstein J, Leugering G, Stingl M (2015)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Optimization and Engineering Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 16

Pages Range: 225-246

Journal Issue: 1

DOI: 10.1007/s11081-014-9262-x

Abstract

We present an asymptotic approach to find optimal rotations of orthotropic material inclusions inside an isotropic linear elastic matrix. We compute approximate optimal solutions with respect to compliance and a stress based cost functional. We validate the local and global quality of the candidate solutions by means of finite element based parametric optimization algorithms. In particular, we devise a lower bound algorithm based on the free material optimization approach. Several numerical experiments are performed for different traction scenarios.

Authors with CRIS profile

Jannis Greifenstein Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Günter Leugering Lehrstuhl für Angewandte Mathematik Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

How to cite

APA:

Schury, F., Greifenstein, J., Leugering, G., & Stingl, M. (2015). On the efficient solution of a patch problem with multiple elliptic inclusions. Optimization and Engineering, 16(1), 225-246. https://doi.org/10.1007/s11081-014-9262-x

MLA:

Schury, Fabian, et al. "On the efficient solution of a patch problem with multiple elliptic inclusions." Optimization and Engineering 16.1 (2015): 225-246.

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