 | | 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. G. Bagdoev and A. V. Shekoyan, "Nonlinear waves in a two-component viscous medium with voids," Mech. Solids. 39 (3), 73-80 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
3 |
Pages |
73-80 |
| Title |
Nonlinear waves in a two-component viscous medium with voids |
| Author(s) |
A. G. Bagdoev (Erevan)
A. V. Shekoyan (Erevan) |
| Abstract |
The propagation of a quasi-longitudinal nonlinear wave in a layer of the Biot medium containing voids which oscillate under the action of the wave is analyzed. Three-dimensional evolution equations are derived taking into account nonlinearities accounted for by the geometric and elastic hydrodynamic characteristics, the presence of the voids and interaction of the components. The nonlinear modulation equations taking into account nonlinear dissipation are obtained and solved within the framework of the theory of narrow beams. |
| References |
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| 2. | Ya. I. Frenkel, "To the theory of seismic and seismoelectric phenomena in wet ground," Izv. AN SSSR. Seriya Geograf. i Geofiz., Vol. 8, No. 4, pp. 13-150, 1944. |
| 3. | L. Ya. Kosachevskii, "On the propagation of elastic waves in two-component media," PMM [Applied Mathematics and Mechanics], Vol. 53, No. 6,
pp. 1115-1123, 1959. |
| 4. | N. S. Gorodetskaya, "Damping of symmetric waves propagating in a porous elastic layer with free surfaces," Akust. Vestn., Vol. 1, No. 4,
pp. 4-18, 1998. |
| 5. | A. G. Bagdoev, Three-dimensional Nonstationary Motions of an Elastic Medium with Shock Waves [in Russian], Izd-vo AN ArmSSR, Erevan, 1961. |
| 6. | Ph. Leclaire, F. Cohen-Tenoudji, and J. Aguirre-Puente, "Extension of Boit's theory of waves propagation to frozen porous media," J. Acoust. Soc. America, Vol. 96, No. 6, pp. 3753-3768, 1994. |
| 7. | F. Leclairo, Audigane, and Y. Royer, "Large-scale in situ permeability tensor of rocks from induced microseismicity," Geophys. J. Int., Vol. 137, No. 1, pp. 207-213, 1999. |
| 8. | V. N. Nikolaevskii, K. S. Basniev, A. T. Gorbunov, and G. A. Zotov, Mechanics of Saturated Porous Media [in Russian], Nedra, Moscow, 1970. |
| 9. | V. N. Nikolaevskii, Geomechanics and Fluid Dynamics, with Applications to Oil and Gas Fields [in Russian], Nedra, Moscow, 1996. |
| 10. | V. G. Bykov, Seismic Waves in Porous Saturated Rocks [in Russian], Dal'nauka, Vladivostok, 1999. |
| 11. | V. G. Bykov, Nonlinear Wave Processes in Geological Media [in Russian], Dal'nauka, Vladivostok, 2000. |
| 12. | K. A. Naugol'nykh and L. A. Ostrovskii, Nonlinear Wave Processes in Acoustics [in Russian], Nauka, Moscow, 1990. |
| 13. | A. G. Bagdoev and A. V. Shekoyan, "Nonlinear waves in a solid viscous medium with voids," Acust. Zh., Vol. 45, No. 2, pp. 149-156, 1999. |
| 14. | V. I. Erofeev, Wave Processes in Solids with Microstructure [in Russian], Izd-vo MGU, Moscow, 1999. |
| 15. | A. G. Bagdoev and A. V. Shekoyan, "Nonlinear wave beams in an elastic, viscous, dispersion, and heat conducting piezodielectric layer," Izv. NAN Armenii. Mekhanika, Vol. 48, No. 1, pp. 64-72, 1995. |
| 16. | A. V. Shekoyan, "An approximate three-dimensional soliton solution in the presence of dispersion and dissipation," Izv. NAN Armenii, Fizika, Vol. 33, No. 4, pp. 187-190, 1998. |
| 17. | M. Ablowits and H. Sigur, Solitons and Method of Inverse Scattering Problem [Russian translation], Mir, Moscow, 1987. |
| 18. | A. G. Bagdoev and A. V. Shekoyan, "Transverse stability of solitons and modulation waves with dissipation being taken into account," Izv. NAN Armenii. Fizika, Vol. 35, No. 2, pp. 85-89, 2000. |
| 19. | A. G. Bagdoev and L. G. Petrosyan, "Propagation of waves in a micropolar conducting liquid," Izv. AN ArmSSR. Mekhanika, Vol. 33, No. 5, pp. 3-19, 1983. |
|
| Received |
28 November 2001 |
| << Previous article | Volume 39, Issue 3 / 2004 | Next article >> |
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