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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 409, Pages 40–48 (Mi znsl5510)  

Computations of Rayleigh waves in anisotropic elastic media and impedance

A. P. Kachalov, S. A. Kachalov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
References:
Abstract: An algorithm of the computation of Rayleigh waves in layered anisotropic elastic media with arbitrary position of boundary plane and arbitrary direction of propagation is considered in the paper. By using translation operators the problem is reduced to the construction of an impedance operator for a homogeneous anisotropic half space and construction with its help the Rayleigh waves in the half space. Computations of velocities of Rayleigh waves and their polarization for different anisotropic media are given for the case of homogeneous half space at the end of the paper.
Key words and phrases: Rayleigh wave, impedance, anisotropic elastic medium, layered medium, computations.
Received: 28.11.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 194, Issue 1, Pages 21–25
DOI: https://doi.org/10.1007/s10958-013-1502-7
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. P. Kachalov, S. A. Kachalov, “Computations of Rayleigh waves in anisotropic elastic media and impedance”, Mathematical problems in the theory of wave propagation. Part 42, Zap. Nauchn. Sem. POMI, 409, POMI, St. Petersburg, 2012, 40–48; J. Math. Sci. (N. Y.), 194:1 (2013), 21–25
Citation in format AMSBIB
\Bibitem{KacKac12}
\by A.~P.~Kachalov, S.~A.~Kachalov
\paper Computations of Rayleigh waves in anisotropic elastic media and impedance
\inbook Mathematical problems in the theory of wave propagation. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 409
\pages 40--48
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032227}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 194
\issue 1
\pages 21--25
\crossref{https://doi.org/10.1007/s10958-013-1502-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899460841}
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  • https://www.mathnet.ru/eng/znsl/v409/p40
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