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Ural Mathematical Journal, 2020, Volume 6, Issue 1, Pages 130–136
DOI: https://doi.org/10.15826/umj.2020.1.010 (Mi umj116) 		 
The dynamic deformation of three-component porous media

Victor S. Polenov, Lyubov A. Kukarskikh, Dmitry A. Nitsak

Air Force Academy named after Professor N. E. Zhukovsky and Y. A. Gagarin
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DOI: https://doi.org/10.15826/umj.2020.1.010
Abstract: A mathematical model of the dynamic deformation of three-component elastic media saturated with liquid and gas, given by elastic moduli and coefficients characterizing the porosity and compressibility of the liquid and gas, is considered. Formulas for determining the propagation velocity of monochromatic waves in ternary porous media are obtained. The existence of three longitudinal waves depends on the discriminant of a cubic equation and the velocity ratio.
Keywords: Elasticity, Medium, Fluid, Stress, Deformation, Displacement.
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Document Type: Article
Language: English
Citation: Victor S. Polenov, Lyubov A. Kukarskikh, Dmitry A. Nitsak, “The dynamic deformation of three-component porous media”, Ural Math. J., 6:1 (2020), 130–136
Citation in format AMSBIB
\Bibitem{PolKukNit20}
\by Victor~S.~Polenov, Lyubov~A.~Kukarskikh, Dmitry~A.~Nitsak
\paper The dynamic deformation of three-component porous media
\jour Ural Math. J.
\yr 2020
\vol 6
\issue 1
\pages 130--136
\mathnet{http://mi.mathnet.ru/umj116}
\crossref{https://doi.org/10.15826/umj.2020.1.010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR4128765}
\zmath{https://zbmath.org/?q=an:1443.76218}
\elib{https://elibrary.ru/item.asp?id=43793629}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088942938}
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