 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
|
| In English (Mech. Solids): | | 4811 |
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| V.A. Babeshko, O.M. Babeshko, O.V. Evdokimova, A.S. Mukhin, A.G. Fedorenko, and V.L. Shestopalov, "On the Problem of Slow Seismic Waves," Mech. Solids. 47 (6), 628-633 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
6 |
Pages |
628-633 |
| DOI |
10.3103/S0025654412060039 |
| Title |
On the Problem of Slow Seismic Waves |
| Author(s) |
V.A. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia, babeshko@kubsu.ru)
O.M. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
O.V. Evdokimova (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
A.S. Mukhin (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia, muhin@mail.kubsu.ru)
A.G. Fedorenko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
V.L. Shestopalov (South Scientific Centre, Russian Academy of Sciences, Chekhova 41, Rostov-on-Don, 344006 Russia, vlshestopalov@gmail.com) |
| Abstract |
The use of vector eigenfunctions in the block method permits one one to simplify the construction of solutions of some boundary value problems and decrease the order of the systems of pseudodifferential equations. Because of this possibility, one can reveal some general properties of the stress-strain state of bounded deformable bodies. This result makes us closer to the explanation of certain behavior of block structures, including lithosphere plates, under seismic actions and allows one to study phenomena of the existence of slow seismic waves propagating in the Earth's crust along the so-called "seismic traces." |
| Keywords |
seismic wave, lithosphere plate, psedodifferential equation, boundary value problem, block element, vector eigenfunction |
| References |
| 1. | G. S. Vartanyan,
"Some Deformation Mechanisms of the Earth's Endodrainage and Seismicity,"
Otech. Geol.,
No. 2, 18-27 (2008). |
| 2. | S. R. Ilyukhin and V. L. Shestopalov,
"Investigations of Geodynamics of the Crimea-West Caucasus Region
by GPS-Measurement Methods,"
Izv. Vyssh. Uchebn. Zaved. Geodez. Aerofotos'emka,
No. 3, 9-17 (2007). |
| 3. | O. V. Evdokimova, O. M. Babeshko, V. A. Babeshko, et al.,
"Block Element Method in the Problem of Mines, Underground Structures,
and Theory of Seismic Traces,"
Ekolog. Vestn. Nauchn. Tsentrov Chernomorsk. Ekon. Sotrudn.,
No. 4, 22-29 (2011). |
| 4. | L. I. Krasnyi and M. A. Sadovskii,
"Block Tectonics of Lithosphere,"
Dokl. Akad. Nauk SSSR
287 (6), 1451-1454 (1986). |
| 5. | S. D. Akbarov, A. N. Guz', E. A. Movsumov, and S. M. Mustafaev,
Mechanics of Materials of Curved Structures
(Naukova Dumka, Kiev, 1995)
[in Russian]. |
| 6. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Differential Factorization Method in Block Structures and Nanostructures,"
Dokl. Ross. Akad. Nauk
415 (5), 596-599 (2007)
[Dokl. Math. (Engl. Transl.)
76 (1), 614-617 (2007)]. |
| 7. | O. V. Evdokimova, O. M. Babeshko, and V. A. Babeshko,
"On the Differential Factorization Method in Inhomogeneous Problems,"
Dokl. Ross. Akad. Nauk
418 (3), 321-323 (2008)
[Dokl. Math. (Engl. Transl.)
77 (1), 140-142 (2008)]. |
| 8. | N. Kh. Arutyunyan, A. V. Manzhirov, and V. E. Naumov,
Contact Problems of Mechanics of Growing Bodies
(Nauka, Moscow, 1991)
[in Russian]. |
| 9. | N. Kh. Arutyunyan and A. V. Manzhirov,
Contact Problems of Creeping Theory
(Inst. Mekh. NAN, Erevan, 1999)
[in Russian]. |
| 10. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Automorphism and Pseudo-Differential Equations in the Block-Element Method,"
Dokl. Ross. Akad. Nauk
438 (5), 623-625 (2011)
[Dokl. Phys. (Engl. Transl.)
56 (6), 348-351 (2011)]. |
| 11. | A. F. Ulitko,
Method of Vector Eigenfunctions in Spatial Problems of Elasticity
(Naukova Dumka, Kiev, 1979)
[in Russian]. |
| 12. | V. T. Grinchenko and A. F. Ulitko,
Equilibrium of Elastic Solids of Canonical Shape
(Naukova Dumka, Kiev, 1985)
[in Russian]. |
|
| Received |
18 July 2012 |
| Link to Fulltext |
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