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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 140–163 (Mi znsl454)  
This article is cited in 3 scientific papers (total in 3 papers)

The effective models of the stratified media containing porous Biot layers

L. A. Molotkova, A. V. Bakulinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (240 kB) Citations (3)
Abstract: The periodic stratified media with alternating layers are investigated in three cases, when a period consists of: 1) two different porous Biot layers, 2) porous and elastic layers, 3) porous and fluid layers. In the case of alternating porous layers the effective model is proved to be generalized transversaly isotropic Biot medium. In this medium fluid density and averaged density are tensors. The effective model of stratified porous-fluid medium is a partial case of generalized transversaly isotropic Biot model and a generalization of effective model of layered fluid-solid medium.
Received: 19.06.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3371–3385
DOI: https://doi.org/10.1007/BF02172816
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, A. V. Bakulin, “The effective models of the stratified media containing porous Biot layers”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 140–163; J. Math. Sci. (New York), 96:4 (1999), 3371–3385
Citation in format AMSBIB
\Bibitem{MolBak97}
\by L.~A.~Molotkov, A.~V.~Bakulin
\paper The effective models of the stratified media containing porous Biot layers
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 140--163
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700648}
\zmath{https://zbmath.org/?q=an:0945.74055}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3371--3385
\crossref{https://doi.org/10.1007/BF02172816}
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  • https://www.mathnet.ru/eng/znsl/v239/p140
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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