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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 210, Pages 262–276 (Mi znsl5874)  

Non-stationary Love waves of $SH$-type in anisotropic elastic medium. Kinematic approach

Z. A. Yanson

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract: In this work the author proceeds with the study of Love waves propagation in anisotropic elastic media. These waves are a counterpart of transverse surface $SH$ waves in the isotropic case. Necessary conditions indispensable to the existence of Love waves of this polarization are deduced in the case of the arbitrary surface of an anisotropic elastic body. The employed algorithm is illustrated by some particular anisotropic cases. The space-time ray method is involved to research Love waves propagation for those types of anisotropic media whose eikonal equation is valid on the surface. Bibliography: 7 titles.
Received: 15.10.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 2, Pages 334–343
DOI: https://doi.org/10.1007/BF02405828
Bibliographic databases:
Document Type: Article
UDC: 550.834+550.344.55
Language: Russian
Citation: Z. A. Yanson, “Non-stationary Love waves of $SH$-type in anisotropic elastic medium. Kinematic approach”, Mathematical problems in the theory of wave propagation. Part 23, Zap. Nauchn. Sem. POMI, 210, Nauka, St. Petersburg, 1994, 262–276; J. Math. Sci., 83:2 (1997), 334–343
Citation in format AMSBIB
\Bibitem{Yan94}
\by Z.~A.~Yanson
\paper Non-stationary Love waves of $SH$-type in anisotropic elastic medium. Kinematic approach
\inbook Mathematical problems in the theory of wave propagation. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 210
\pages 262--276
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5874}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1334759}
\zmath{https://zbmath.org/?q=an:0872.73008}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 2
\pages 334--343
\crossref{https://doi.org/10.1007/BF02405828}
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