 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A.S. Shamaev and V.V. Shumilova, "Plane Acoustic Wave Propagation through a Composite of Elastic and Kelvin-Voigt Viscoelastic Material Layers," Mech. Solids. 52 (1), 25-34 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
1 |
Pages |
25-34 |
| DOI |
10.3103/S0025654417010046 |
| Title |
Plane Acoustic Wave Propagation through a Composite of Elastic and Kelvin-Voigt Viscoelastic Material Layers |
| Author(s) |
A.S. Shamaev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, sham@rambler.ru)
V.V. Shumilova (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, v.v.shumilova@mail.ru) |
| Abstract |
The problem of plane wave propagation through a plane composite layer of thickness h is considered. The composite consists of periodically repeated elastic and Kelvin-Voigt viscoelastic material layers, and all layers are either parallel or perpendicular to the incident wave front. Moreover, it is assumed that the thickness of each separate layer of the composite is much less than the acoustic wave length and the thickness h of the entire composite. We study the problem by using a homogenized model of the composite, which allows us to find the reflection and transmission factors and the variation in the sound intensity level as it propagates though the composite layer of thickness h. |
| Keywords |
acoustic wave, layered composite, reflection factor, transmission factor, sound intensity |
| References |
| 1. | N. S. Bakhvalov and G. P. Panasenko,
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(Nauka, Moscow, 1984)
[in Russian]. |
| 2. | B. E. Pobedrya,
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[in Russian]. |
| 3. | R. M. Christensen,
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Mathematical Modeling of Physical Processes in Composite Materials of Periodic Structure
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[in Russian]. |
| 5. | A. S. Shamaev and V. V. Shumilova,
"On the Spectrum of One-Dimensional Oscillations
of a Composite Composed of Elastic and Viscoelastic Material Layers,"
Sib. Zh. Industr. Mat.
15 (4), 124-134 (2012). |
| 6. | A. S. Shamaev and V. V. Shumilova,
"On the Spectrum of One-Dimensional Oscillations
in the Medium of Elastic and Viscoelastic Kelvin-Voigt Material Layers,"
Zh. Vych. Mat. Mat. Fiz.
53 (2), 282-290 (2013). |
| 7. | A. A. Il'yushin and B. E. Pobedrya,
Foundations of Mathematical Theory of Thermoviscoelasticity
(Nauka, Moscow, 1970)
[in Russian]. |
| 8. | G. Duvaut and J.-L. Lions,
Les Inéquations en Méchanique et en Physique
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| 9. | B. E. Pobedrya and D. V. Georgievskii,
Foundations of Continuum Mechanics. A Course of Lectures
(Fizmatlit, Moscow, 2006)
[in Russian]. |
| 10. | L. M. Brekhovskikh and O. A. Godin,
Acoustics of Laminated Media
(Nauka, Moscow, 1989)
[in Russian]. |
|
| Received |
03 April 2014 |
| Link to Fulltext |
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