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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 379, Pages 24–46 (Mi znsl3836)  
On the Rayleigh wave propagation along the boundary of an inhomogeneous anisotropic porous Biot medium

G. L. Zavorokhin

Saint-Petersburg State University, Saint-Petersburg, Russia
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Abstract: The Rayleigh wave propagation along the traction-free boundary of an inhomogeneous anisotropic fluid-saturated porous solid (a Biot medium) is considered. Analytic expressions for the amplitude and the Berry phase of this oscillation are obtained. These analytic expressions are valid for the arbitrary shape of the porous solid. Bibl. 4 titles.
Key words and phrases: elastic surface waves, Rayleigh waves, Porous media, space-time ray expansion.
Received: 12.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 173, Issue 3, Pages 254–266
DOI: https://doi.org/10.1007/s10958-011-0248-3
Bibliographic databases:
Document Type: Article
UDC: 550.344.56
Language: Russian
Citation: G. L. Zavorokhin, “On the Rayleigh wave propagation along the boundary of an inhomogeneous anisotropic porous Biot medium”, Mathematical problems in the theory of wave propagation. Part 39, Zap. Nauchn. Sem. POMI, 379, POMI, St. Petersburg, 2010, 24–46; J. Math. Sci. (N. Y.), 173:3 (2011), 254–266
Citation in format AMSBIB
\Bibitem{Zav10}
\by G.~L.~Zavorokhin
\paper On the Rayleigh wave propagation along the boundary of an inhomogeneous anisotropic porous Biot medium
\inbook Mathematical problems in the theory of wave propagation. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 379
\pages 24--46
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3836}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 173
\issue 3
\pages 254--266
\crossref{https://doi.org/10.1007/s10958-011-0248-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952251377}
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