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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 4, Pages 116–125 (Mi uzku1161)  
This article is cited in 1 scientific paper (total in 1 paper)

Diffraction of a plane elastic wave by a gradient layer

A. V. Anufrievaa, D. N. Tumakovb

a Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University
b Kazan (Volga Region) Federal University
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Abstract: In this article, the problem of diffraction of a plane elastic wave by a gradient layer isotropic in a transverse direction is investigated. A system of second-order ordinary differential equations with boundary conditions of the third kind is obtained using an overdetermined boundary-value problem. This system is solved by the grid method. The calculation results for the case of piecewise linear scaling of elastic wave velocities are given.
Keywords: diffraction, elastic wave, gradient layer.
Received: 02.11.2012
Document Type: Article
UDC: 514.762.33
Language: Russian
Citation: A. V. Anufrieva, D. N. Tumakov, “Diffraction of a plane elastic wave by a gradient layer”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 4, Kazan University, Kazan, 2012, 116–125
Citation in format AMSBIB
\Bibitem{AnuTum12}
\by A.~V.~Anufrieva, D.~N.~Tumakov
\paper Diffraction of a~plane elastic wave by a~gradient layer
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 4
\pages 116--125
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1161}
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  • https://www.mathnet.ru/eng/uzku/v154/i4/p116
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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