 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 50, Issue 6 / 2015 | Next article >> |
| V.S. Fedotovskii, "Effective Dynamic Properties and Transverse Waves in Disperse Composites," Mech. Solids. 50 (6), 687-697 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
6 |
Pages |
687-697 |
| DOI |
10.3103/S0025654415060096 |
| Title |
Effective Dynamic Properties and Transverse Waves in Disperse Composites |
| Author(s) |
V.S. Fedotovskii (A. I. Leypunsky Institute of Physics and Power Engineering, pl. Bondarenko 1, Obninsk, Kaluga oblast 249033, Russia, fedotovsky@ippe.ru) |
| Abstract |
Transverse waves in a dispersive composite formed by a viscoelastic matrix and rigid inclusions are considered. They are described in the long-wave approximation on the basis of complex dynamic properties of the composite, i.e., the dynamic density and shear-rotational elasticity, which takes into account the interaction between the matrix and the rigid inclusions in their translational, deformation, and rotational vibrations. The dependencies describing the effective dynamic properties of the composite and determining the resonance dispersion of transverse waves are obtained. |
| Keywords |
dispersive composite, transverse waves, dynamic density, shear-rotational elasticity, resonance dispersion |
| References |
| 1. | L. P. Khoroshun,
"Theory of Interpenetrating Elastic Mixtures,"
Prikl. Mekh.
13 (10), 124-132 (1977)
[Int. Appl. Mech. (Engl. Transl.)
13 (10), 1063-1070 (1977)]. |
| 2. | Ya. Ya. Rushchitskii,
"Physical Constants in Mixture Theory,"
Prikl. Mekh.
17 (11), 90-98 (1981)
[Int. Appl. Mech. (Engl. Transl.)
17 (11), 1018-1025 (1981)]. |
| 3. | M. A. Isakovich,
General Acoustics
(Nauka, Moscow, 1973)
[in Russian]. |
| 4. | M. A. Isakovich, "L. I. Mandelshtam and Sound Propagation in
Microinhomogeneous media," Uspekhi Fiz. Nauk
129 (3),
531-540 (1979). |
| 5. | N. L. Granat,
"Steady-State Vibrations of Vessels with a Two-Phase Mixture,"
Izv. Akad. Nauk SSSR. Mekh. Mashinostr.,
No. 5, 61-64 (1964). |
| 6. | N. L. Granat,
"Energy Losses in Vibrations of a Ball in a Two-Phase Mixture
(Vibrodensity and Vibroviscosity of Mixtures),"
Izv. Akad. Nauk SSSR. Mekh.,
No. 1, 34-41 (1965). |
| 7. | V. S. Fedotovskii and T. N. Vereshchagina,
"Low Frequency Resonant Dispersion of Sound in Bubble Media,"
Akust. Zh.
55 (6), 712-718 (2009)
[Acoust. Phys. (Engl. Transl.)
55 (6), 735-740 (2009)]. |
| 8. | I. A. Chaban,
"Self-consistent Field Approach to Calculation of the Effective Parameters
of Microinhomogeneous Media,"
Akust. Zh.
10 (3), 351-158 (1964)
[Sov. Phys. Acoust. (Engl. Transl.)
10, 298-304 (1964)]. |
| 9. | I. A. Chaban,
"Calculation of the Effective Parameters of Microinhomogeneous Media
by the Self-consistent Field Method,"
Akust. Zh.
11 (1), 102-108 (1965)
[Sov. Phys. Acoust. (Engl. Transl.)
11, 81-86 (1965)] |
| 10. | R. I. Viktorova and V. V. Tyutekin,
"Physical Foundations for Synthesis of Sound Absorbers Using Complex-Density Composites,"
"Physical Foundations of Sound-Proof Material Design by Using a Media of Complex Density,"
Akust. Zh.
44 (3), 331-336 (1998)
[Acoust. Phys. (Engl. Transl.)
44 (3), 275-280 (1998)]. |
| 11. | V. S. Fedotovskii and T. N. Vereshchagina,
"Resonance Dispersion of the Longitudinal Waves in Disperse Composites,"
Akust. Zh.
56 (4), 497-504 (2010)
[Acoust. Phys. (Engl. Transl.)
56 (4), 506-513 (2010)]. |
| 12. | V. S. Fedotovskii and T. N. Vereshchagina,
"Shear-Rotational Vibrations of Inclusions
and Two-Resonance Dispersion of Transverse Waves in Composites,"
in Proc. XX Session of Russian Acoustic Society, Vol. 1
(Geos, Moscow, 2008),
pp. 64-70
[in Russian]. |
| 13. | S. A. Lisina, A. I. Potapov, and V. F. Nesterenko,
"A Nonlinear Granular Medium with Particle Rotation: A One-Dimensional Model,"
Akust. Zh.
47 (5), 685-693 (2001)
[Acoust. Phys. (Engl. Transl.)
47 (5), 598-606 (2001)]. |
| 14. | A. A. Lemekhova, S. A. Lisina, and A. I. Potapov,
"Acoustic Waves in Two-Dimensional Anisotropic Medium with Oscillatory Degrees of Freedom,"
in Proc. XIX Session of Russian Acoustic Society, Vol. 1
(Geos, Moscow, 2007),
pp. 177-180
[in Russian]. |
| 15. | V. A. Burov, K. V. Dmitriev, and S. N. Sergeev,
"Acoustic Double-Negative Media,"
Akust. Zh.
55 (3), 292-306 (2009)
[Acoust. Phys. (Engl. Transl.)
55 (3), 298-310 (2009)]. |
|
| Received |
10 May 2013 |
| Link to Fulltext |
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