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Matematicheskoe modelirovanie, 2016, Volume 28, Number 12, Pages 3–19 (Mi mm3792)  
Homogenisation of the isothermal acoustics models in the configuration elastic body–porous-elastic medium

A. M. Meirmanov, A. A. Gerus, S. A. Gritsenko

BelSU, Russia
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Abstract: We consider isothermal acoustics in composite medium with two different components. Composite medium is consist from some elastic body and porous-elastic medium. Porous-elastic medium is filled with a fluid. Unique existence of the generalized solution of boundary-value problem is proved. Homogenized models are derived in various cases.
Keywords: composite medium, periodic structure, Lame's equations, acoustics equations, porous-elastic, homogenization of periodic structures, two-scale convergence.
Received: 28.09.2015
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Document Type: Article
Language: Russian
Citation: A. M. Meirmanov, A. A. Gerus, S. A. Gritsenko, “Homogenisation of the isothermal acoustics models in the configuration elastic body–porous-elastic medium”, Matem. Mod., 28:12 (2016), 3–19
Citation in format AMSBIB
\Bibitem{MeiGerGri16}
\by A.~M.~Meirmanov, A.~A.~Gerus, S.~A.~Gritsenko
\paper Homogenisation of the isothermal acoustics models in the configuration elastic body--porous-elastic medium
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 12
\pages 3--19
\mathnet{http://mi.mathnet.ru/mm3792}
\elib{https://elibrary.ru/item.asp?id=28119132}
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