Geodesic
Diffraction of a plane elastic wave by a gradient layer
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 116-125

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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.
Mots-clés : diffraction, gradient layer.
Keywords: elastic wave 
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     author = {A. V. Anufrieva and D. N. Tumakov},
     title = {Diffraction of a~plane elastic wave by a~gradient layer},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {116--125},
     publisher = {mathdoc},
     volume = {154},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a8/}
}
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A. V. Anufrieva; D. N. Tumakov. Diffraction of a plane elastic wave by a gradient layer. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 116-125. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a8/