Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2015-4pp.388-393

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A.V. Kaptsov and S.V. Kuznetsov, "Love waves in a three-layer elastic half-space," J. Appl. Math. Mech. 79 (4), 388-393 (2015)
Year 2015 Volume 79 Issue 4 Pages 388-393
DOI 10.1016/j.jappmathmech.2016.01.009
Title Love waves in a three-layer elastic half-space
Author(s) A.V. Kaptsov (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia, kaptsov@ipmnet.ru)
S.V. Kuznetsov (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia, kuzn-sergey@yandex.ru)
Abstract The conditions for surface acoustic Love waves, propagating in a three-layer isotropic elastic half-space, to exist and dispersion relations for them are investigated. Using the global matrix method and the transfer matrix method, dispersion curves are constructed for the three-layer half-space. It is shown that, in the case of two isotropic layers and an isotropic half-space, a Love wave exists if the velocity of the longitudinal wave in the half-space exceeds the velocity of the longitudinal wave in one layer at least.
Received 08 August 2014
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