 | | 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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| D. A. Kosmodem’yanskii and A. S. Shamaev, "Spectral Properties of Some Problems in Mechanics of Strongly Inhomogeneous Media," Mech. Solids. 44 (6), 874-906 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
6 |
Pages |
874-906 |
| DOI |
10.3103/S0025654409060077 |
| Title |
Spectral Properties of Some Problems in Mechanics of Strongly Inhomogeneous Media |
| Author(s) |
D. A. Kosmodem’yanskii (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia)
A. S. Shamaev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, sham@rambler.ru) |
| Abstract |
In the present paper, we derive effective dynamic equations and analyze the spectral properties of strongly inhomogeneous media such as elastic porous materials saturated by a fluid and two-fluid mixtures (suspensions). We also study the structure of the natural vibration spectrum of bounded volumes for several effective models and the convergence rate of solutions of the original boundary value problems for two-phase media to the corresponding solutions of the effective (homogenized) boundary value problems. |
| Keywords |
strongly inhomogeneous media, homogenization theory, two-scale convergence, natural vibration spectrum |
| References |
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|
| Received |
19 July 2006 |
| Link to Fulltext |
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