This article is cited in 6 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

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.

UDC: 532.529:534.2

Received: 13.04.2020
Revised: 13.04.2020
Accepted: 27.04.2020

DOI: 10.15372/PMTF20200403

 English version: Journal of Applied Mechanics and Technical Physics, 2020, 61:4, 517–524

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