The Eshelby Theorem and Application to the optimization of an Elastic Patch
Leugering G, Nazarov S, Schury F, Stingl M (2012)
Publication Type: Journal article, Original article
Publication year: 2012
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 72
Pages Range: 512-534
Journal Issue: 2
DOI: 10.1137/110823110
Abstract
shWwWe present the analysis for finding optimal locations and rotations of anisotropic material inclusions in a matrix material by using the polarization matrix. We compare different types of cost functionals, in particular local ones, and show their respective differences. We use the Eshelby theorem and the representation of stresses based on the link matrix. As an analytical model reduction technique, this allows for efficent numerical computation which is demonstrated for two selected examples.
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Authors with CRIS profile
Günter Leugering
Lehrstuhl für Angewandte Mathematik
Michael Stingl
Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)
Additional Organisation(s)
Involved external institutions
Russian Federation (RU)How to cite
APA:
Leugering, G., Nazarov, S., Schury, F., & Stingl, M. (2012). The Eshelby Theorem and Application to the optimization of an Elastic Patch. SIAM Journal on Applied Mathematics, 72(2), 512-534. https://doi.org/10.1137/110823110
MLA:
Leugering, Günter, et al. "The Eshelby Theorem and Application to the optimization of an Elastic Patch." SIAM Journal on Applied Mathematics 72.2 (2012): 512-534.
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