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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 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

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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