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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 191–210 (Mi znsl4624)  
This article is cited in 3 scientific papers (total in 3 papers)

Propagation of normal waves in porous rod with closed pores on boundaries

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (247 kB) Citations (3)
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Abstract: Propagation of normal waves in porous cylindrical rod with closed pores on boundaries is investigated. For this medium the dispersion equation is derived. At low-frequency this equation has two roots which are velocities of the normal waves. While in the cases of elastic rod and of porous rod with opened pores there is unique low-frequence wave. At high-frequency the dispersion equation has one special root. With such velocity the Rayleigh wave propagates along free boundary of the porous medium with closed pores. In this case the Rayleigh wave can exist always.
Key words and phrases: porous rod, closed pores, two rod waves, the Rayleigh wave propagates always.
Received: 08.06.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 619–629
DOI: https://doi.org/10.1007/s10958-012-0946-5
Bibliographic databases:
Document Type: Article
UDC: 550.24
Language: Russian
Citation: L. A. Molotkov, “Propagation of normal waves in porous rod with closed pores on boundaries”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 191–210; J. Math. Sci. (N. Y.), 185:4 (2012), 619–629
Citation in format AMSBIB
\Bibitem{Mol11}
\by L.~A.~Molotkov
\paper Propagation of normal waves in porous rod with closed pores on boundaries
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 191--210
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4624}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870213}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 619--629
\crossref{https://doi.org/10.1007/s10958-012-0946-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866543694}
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  • https://www.mathnet.ru/eng/znsl/v393/p191
    • 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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