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Outer-plane properties of thin heterogeneous periodic layers

: Migunova, Anastasia

Fulltext urn:nbn:de:0011-n-4457358 (2.0 MByte PDF)
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Created on: 19.05.2018


Stuttgart: Fraunhofer Verlag, 2017, VI, 110 pp.
Zugl.: Kaiserslautern, TU, Diss., 2016
ISBN: 978-3-8396-1159-3
Dissertation, Electronic Publication
Fraunhofer ITWM ()
mathematical modelling; materials science; Mathematische Modellierung; Differentiale Gleichungen; Materialwissenschaft; Homogenisierung; Asymptotische Analyse; Mathematiker

This work is devoted to an elasticity problem on macrodomains separated by a thin heterogeneous layer with a periodic in-plane structure. The asymptotic behavior and effective elastic properties of such structures are being studied and the limit elasticity problem, together with the Robin transmission condition across the interface, obtained. Numerical and analytical solutions are being compared to illustrate the results.