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

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.

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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://dx.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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