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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 297, Pages 106–115 (Mi znsl1217)  
This article is cited in 1 scientific paper (total in 1 paper)

Scattering of plane ellastic waves on a small inhomogeneity lying inside an ellastic slightly bent layer

N. Ya. Kirpichnikovaa, L. A. Svirkinab, V. B. Philippovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (219 kB) Citations (1)
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Abstract: The problem of diffraction of the ellastic plane wave of the horizontal polarization (SH-wave) on a small inhomogeneity lying in a slightly bent layer is investigated. The layer is situated on the boundary of the half-space. The inhomogeneity is supposed to be a cylinder, the cross-section diameter of which is small in comparision with the length of the falling wave. The insident wave is polarized in parallel to the axis of the cylinder.
It is proved that the small inhomogeneity radiates as a point source, the intensity of which is proportional to area of the cross-section inhomogeneity and the jumps of the squared velocities in the layer and in the inhomogeneity.
Received: 13.03.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 6, Pages 2396–2401
DOI: https://doi.org/10.1007/s10958-005-0188-x
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, L. A. Svirkina, V. B. Philippov, “Scattering of plane ellastic waves on a small inhomogeneity lying inside an ellastic slightly bent layer”, Mathematical problems in the theory of wave propagation. Part 32, Zap. Nauchn. Sem. POMI, 297, POMI, St. Petersburg, 2003, 106–115; J. Math. Sci. (N. Y.), 127:6 (2005), 2396–2401
Citation in format AMSBIB
\Bibitem{KirSviPhi03}
\by N.~Ya.~Kirpichnikova, L.~A.~Svirkina, V.~B.~Philippov
\paper Scattering of plane ellastic waves on a~small inhomogeneity lying inside an ellastic slightly bent layer
\inbook Mathematical problems in the theory of wave propagation. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 297
\pages 106--115
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1981390}
\zmath{https://zbmath.org/?q=an:1081.78008}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 6
\pages 2396--2401
\crossref{https://doi.org/10.1007/s10958-005-0188-x}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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