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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 165–186 (Mi znsl1399)  

This article is cited in 1 scientific paper (total in 1 paper)

The effective model of the layered medium in which porous and elastic layers being in slide contact alternate

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (310 kB) Citations (1)
Abstract: For the medium in which porous and elastic layers alternate with each other and there is slide contact on the interfaces, the effective model is established. This model is three-phase and contains two elastic phases and one fluid phase. The peculiarities of this effective model are that in it two waves with “triangular fronts” propagate and second (slow) longitudinal wave is absent. In partial case when thickness of elastic layers is very small but they remain as barries for fluid particles from the porous layers, the effective model becomes two-phase and one of “triangular fronts” disappears.
Received: 23.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 3982–3993
DOI: https://doi.org/10.1023/A:1024627127203
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “The effective model of the layered medium in which porous and elastic layers being in slide contact alternate”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 165–186; J. Math. Sci. (N. Y.), 117:2 (2003), 3982–3993
Citation in format AMSBIB
\Bibitem{Mol01}
\by L.~A.~Molotkov
\paper The effective model of the layered medium in which porous and elastic layers being in slide contact alternate
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 165--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1399}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854508}
\zmath{https://zbmath.org/?q=an:1062.74554}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 3982--3993
\crossref{https://doi.org/10.1023/A:1024627127203}
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  • https://www.mathnet.ru/eng/znsl/v275/p165
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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