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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 7, Pages 1208–1220 (Mi zvmmf10238)

This article is cited in 2 papers

Reflection of a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers

V. V. Shumilova

Institute for Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, korp. 1, Moscow, 119526, Russia

Abstract: The reflection of a plane sound wave incident normally on the flat boundary of a layered heterogeneous medium is considered. The heterogeneous medium consists of periodically alternating layers of elastic and viscoelastic isotropic materials. All the layers are assumed to be parallel or perpendicular to the wavefront and each layer is much thinner than the sound wavelength. The problem is studied using a homogenized model of the layered heterogeneous medium. Specifically, the complex amplitudes of the reflected and transmitted waves are determined as functions of frequency.

Key words: sound wave, reflection, heterogeneous medium, homogenized model.

UDC: 519.634

Received: 12.05.2014
Revised: 29.09.2014

DOI: 10.7868/S0044466915040158


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:7, 1188–1199

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