 | | 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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| M.E. Eglit and T.A. Yakubenko, "On Effective Moduli of Inhomogeneous Media Characterized by Several Small Parameters," Mech. Solids. 46 (1), 80-88 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
1 |
Pages |
80-88 |
| DOI |
10.3103/S0025654411010134 |
| Title |
On Effective Moduli of Inhomogeneous Media Characterized by Several Small Parameters |
| Author(s) |
M.E. Eglit (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia, m.eglit@mail.ru)
T.A. Yakubenko (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, yakubta@mail.ru) |
| Abstract |
Composites and porous media of elongated structure, as well as materials with pores or inclusions having the shape of
parallelepipeds or channels of rectangular cross-section, are considered under certain conditions on the inclusion-to-matrix modulus ratio and the volume fraction of inclusions (pores). The effective moduli are calculated by the method of mathematical homogenization theory. Numerical results on the dependence of the effective moduli on the prolateness of the structure, the shape of the inclusions (pores), the inclusion-to-matrix modulus ratio, and the volume fraction of inclusions (pores) are given. The effective moduli computed according to the algorithm of mathematical homogenization theory are compared with those given by the explicit approximate formulas earlier developed by the authors. |
| Keywords |
composites, porous media, homogenization, effective moduli, explicit formulas, numerical computations |
| References |
| 1. | N. S. Bakhvalov and G. P. Panasenko,
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| 2. | B. E. Pobedrya,
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| 3. | N. S. Bakhvalov and M. E. Eglit,
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in Ser. Adv. Math. Appl. Sci..
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| 4. | T. A. Yakubenko,
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| 7. | T. A. Yakubenko,
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[Comput. Math. Math. Phys. (Engl. Transl.)
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| 8. | T. A. Yakubenko,
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| 9. | N. S. Bakhvalov and M. E. Eglit,
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38 (5), 813-834 (1998)
[Comput. Math. Math. Phys. (Engl. Transl.)
38 (5), 783-804 (1998)]. |
| 10. | N. S. Bakhvalov and M. E. Eglit,
"On the Velocity of Perturbation Propagation in Microinhomogeneous Elastic Media
with a Small Shear Elasticity,"
Dokl. Ross. Akad. Nauk
323 (1), 13-18 (1992)
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| 11. | N. S. Bakhvalov and M. E. Eglit,
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and Weakly Viscous Microinhomogeneous Media,"
Dokl. Ross. Akad. Nauk
325 (1), 9-15 (1992)
[Dokl. Phys. (Engl. Transl.)]. |
| 12. | N. S. Bakhvalov and M. E. Eglit,
"Averaging of the Equations of the Dynamics of Composites of Slightly
Compressible Elastic Components,"
Zh. Vychisl. Mat. Mat. Fiz.
33 (7), 1066-1082 (1993)
[Comput. Math. Math. Phys. (Engl. Transl.)
33 (7), 939-952 (1993)]. |
| 13. | N. S. Bakhvalov, G. V. Sandrakov, and M. E. Eglit,
"Mathematical Study of Sound Waves Propagation Progress in Mixtures,"
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No. 6, 19-21 (1996)
[Moscow Univ. Math. Bull. (Engl. Transl.)
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| 14. | N. S. Bakhvalov, K. Yu. Bogachev, and M. E. Eglit,
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32 (5), 579-587 (1996)
[Mech. Comp. Mater. (Engl. Transl.)
32 (5), 399-405 (1996)] |
|
| Received |
15 June 2010 |
| Link to Fulltext |
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