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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2020, Volume 61, Issue 4, Pages 22–30
DOI: https://doi.org/10.15372/PMTF20200403 (Mi pmtf291) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Wave dynamics of shell-covered inclusions in a viscoelastic medium

D. A. Gubaidullin, Yu. V. Fedorov

Institute of Mechanics and Engineering – A Separate Structural Subdivision of the Federal Research Center "Kazan Scientific Center" of the Russian Academy of Sciences, 420111, Kazan, Russia
Full-text PDF (257 kB) Citations (4)
DOI: https://doi.org/10.15372/PMTF20200403
Abstract: A modified Rayleigh–Lamb equation is obtained, which takes into account the radial vibrations of a liquid drop that is covered by a viscoelastic shell, whose center contains a gas bubble, and which is placed in a viscoelastic medium. For the case of small vibrations of the inclusion, the heat transfer problem for gas, liquid phase, viscoelastic shell, and carrier liquid is solved. A dispersion equation is derived for a bubble medium. The influence of the inclusion shell and the viscoelasticity of the carrier phase on the dynamics of acoustic waves is investigated. Calculation results are compared with experimental data.
Keywords: acoustic waves, gas bubbles, liquid interlayer, viscoelastic shell, modified Rayleigh–Lamb equation, interfacial heat transfer, dispersion equation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МК-297.2020.1
Russian Foundation for Basic Research 19-01-00442 А
Received: 13.04.2020
Revised: 13.04.2020
Accepted: 27.04.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2020, Volume 61, Issue 4, Pages 517–524
DOI: https://doi.org/10.1134/S0021894420040033
Bibliographic databases:
Document Type: Article
UDC: 532.529:534.2
Language: Russian
Citation: D. A. Gubaidullin, Yu. V. Fedorov, “Wave dynamics of shell-covered inclusions in a viscoelastic medium”, Prikl. Mekh. Tekh. Fiz., 61:4 (2020), 22–30; J. Appl. Mech. Tech. Phys., 61:4 (2020), 517–524
Citation in format AMSBIB
\Bibitem{GubFed20}
\by D.~A.~Gubaidullin, Yu.~V.~Fedorov
\paper Wave dynamics of shell-covered inclusions in a viscoelastic medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 4
\pages 22--30
\mathnet{http://mi.mathnet.ru/pmtf291}
\crossref{https://doi.org/10.15372/PMTF20200403}
\elib{https://elibrary.ru/item.asp?id=43801333}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 4
\pages 517--524
\crossref{https://doi.org/10.1134/S0021894420040033}
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  • https://www.mathnet.ru/eng/pmtf/v61/i4/p22
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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