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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 206–219 (Mi znsl5983)  

Kinematic approach to nonstationary $SH$ Love waves in anisotropic elastic media. II

Z. A. Yanson

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract: In this paper the author continues the study of high-frequency surface Love waves (analogous with well-known transversal shear waves) in anisotropic elastic media. Since the setting of the problem does not depend on a specific form of the elasticity tensor, it becomes possible to develop an algorithm relating the direction in which a surface wave propagates to its polarization transversity. The proposed algorithm was expoited to single out the special cases of anisotropy where the directions found correspond to the eikonal equation on the surface of an elastic body. The space-time ray technuque in these cases enables the construction of the of Love wave under study. Bibliography: 8 titles.
Received: 25.07.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2793–2801
DOI: https://doi.org/10.1007/BF02355170
Bibliographic databases:
Document Type: Article
UDC: 517.941
Language: Russian
Citation: Z. A. Yanson, “Kinematic approach to nonstationary $SH$ Love waves in anisotropic elastic media. II”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 206–219; J. Math. Sci. (New York), 86:3 (1997), 2793–2801
Citation in format AMSBIB
\Bibitem{Yan94}
\by Z.~A.~Yanson
\paper Kinematic approach to nonstationary $SH$ Love waves in anisotropic elastic media.~II
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 206--219
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5983}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492178}
\zmath{https://zbmath.org/?q=an:0973.74584}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2793--2801
\crossref{https://doi.org/10.1007/BF02355170}
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