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

This article is cited in 1 scientific paper (total in 1 paper)

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.

DOI: https://doi.org/10.7868/S0044466915040158

Full text: PDF file (288 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:7, 1188–1199

Bibliographic databases:

UDC: 519.634
Received: 12.05.2014
Revised: 29.09.2014

Citation: V. V. Shumilova, “Reflection of a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1208–1220; Comput. Math. Math. Phys., 55:7 (2015), 1188–1199

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. S. Shamaev, V. V. Shumilova, “Calculation of natural frequencies and damping coefficients of a multi-layered composite using homogenization theory”, IFAC-PapersOnLine, 51:2 (2018), 126–131  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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