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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 173–189 (Mi znsl1651)  

This article is cited in 6 scientific papers (total in 6 papers)

Wave propagation in an isolated porous Biot layer with closed pores on the boundaries

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (294 kB) Citations (6)
References:
Abstract: On the boundaries of this isolated porous Biot layer, the total stresses and normal relative displacement are equal to zero. For this layer, the symmetric and antisymmetric dispersion equations are established and investigated. The wave field consists of normal waves. In this layer one bend wave, two plate waves, and infinitely many normal waves propagate. For all these waves, we determine by analytical methods dispersion curves. The velocities of the bend wave and of the second plate wave for the infinite frequency are equal to the Rayleigh velocity. Bibl. – 7 titles, fig. – 3.
Received: 28.04.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 3, Pages 432–441
DOI: https://doi.org/10.1007/s10958-008-9226-9
Bibliographic databases:
UDC: 550.24
Language: Russian
Citation: L. A. Molotkov, “Wave propagation in an isolated porous Biot layer with closed pores on the boundaries”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 173–189; J. Math. Sci. (N. Y.), 155:3 (2008), 432–441
Citation in format AMSBIB
\Bibitem{Mol08}
\by L.~A.~Molotkov
\paper Wave propagation in an isolated porous Biot layer with closed pores on the boundaries
\inbook Mathematical problems in the theory of wave propagation. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 354
\pages 173--189
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1651}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 155
\issue 3
\pages 432--441
\crossref{https://doi.org/10.1007/s10958-008-9226-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749164742}
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  • https://www.mathnet.ru/eng/znsl/v354/p173
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :88
    References:31
     
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