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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 369, Pages 127–142 (Mi znsl3524)  

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

Investigation of normal waves in a porous layer surrounded by elastic half-spaces

L. A. Molotkov, A. A. Mukhin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (591 kB) Citations (1)
References:
Abstract: The wave field and dispersion equations are established for the porous layer surrounded by two elastic half-spaces. The porous layer is described by the effective model of the medium in which elastic and fluid layers alternate. In order to investigate the normal waves, all real roots of dispersion equations are determined and their movements with increasing wave number are investigated. As a result, the dispersion curves of all normal waves are constructed and dependence of the normal waves on the parameters of the porous layer and the elastic half-spaces is analyzed. Bibl. – 6 titles.
Key words and phrases: normal waves, dispersion curves, effective model, alternating elastic and fluid layers.
Received: 29.06.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 167, Issue 5, Pages 670–679
DOI: https://doi.org/10.1007/s10958-010-9953-6
Bibliographic databases:
Document Type: Article
UDC: 550.24
Language: Russian
Citation: L. A. Molotkov, A. A. Mukhin, “Investigation of normal waves in a porous layer surrounded by elastic half-spaces”, Mathematical problems in the theory of wave propagation. Part 38, Zap. Nauchn. Sem. POMI, 369, POMI, St. Petersburg, 2009, 127–142; J. Math. Sci. (N. Y.), 167:5 (2010), 670–679
Citation in format AMSBIB
\Bibitem{MolMuk09}
\by L.~A.~Molotkov, A.~A.~Mukhin
\paper Investigation of normal waves in a~porous layer surrounded by elastic half-spaces
\inbook Mathematical problems in the theory of wave propagation. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 369
\pages 127--142
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3524}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 167
\issue 5
\pages 670--679
\crossref{https://doi.org/10.1007/s10958-010-9953-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953912529}
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  • https://www.mathnet.ru/eng/znsl3524
  • https://www.mathnet.ru/eng/znsl/v369/p127
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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