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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 217–237 (Mi znsl1178)  

This article is cited in 5 scientific papers (total in 5 papers)

About the sources acting on the free boundary of porous Biot medium and about reflection on this boundary

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (224 kB) Citations (5)
Abstract: A homogeneous isotropic porous Biot half-space $z\ge0$ with free boundary $z=0$ is considered. This half-space is excited by the point sources situated on the boundary $z=0$ and applied to the elastic phase. Four sources: 1) Normal force, 2) Center of tangential forces, 3) Center of rotation, and 4) Tangential force are considered. For all sources the wave fields are established. The relation between the wave fields in the porous medium and the corresponding wave fields in the elastic medium is investigated. The reflection coefficients on the free boundary of the porous Biot half-space are defined and studied.
Received: 11.11.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 5, Pages 3750–3762
DOI: https://doi.org/10.1023/A:1016398212462
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “About the sources acting on the free boundary of porous Biot medium and about reflection on this boundary”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 217–237; J. Math. Sci. (New York), 111:5 (2002), 3750–3762
Citation in format AMSBIB
\Bibitem{Mol00}
\by L.~A.~Molotkov
\paper About the sources acting on the free boundary of porous Biot medium and about reflection on this boundary
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 217--237
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1178}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796426}
\zmath{https://zbmath.org/?q=an:1125.74343}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 5
\pages 3750--3762
\crossref{https://doi.org/10.1023/A:1016398212462}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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