 | | 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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| V.A. Vestyak, A.S. Sadkov, and D.V. Tarlakovskii, "Propagation of Unsteady Bulk Perturbations in an Elastic Half-Plane," Mech. Solids. 46 (2), 266-274 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
266-274 |
| DOI |
10.3103/S0025654411020154 |
| Title |
Propagation of Unsteady Bulk Perturbations in an Elastic Half-Plane |
| Author(s) |
V.A. Vestyak (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia)
A.S. Sadkov (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia)
D.V. Tarlakovskii (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, tdvhome@mail.ru, tdv902@mai.ru) |
| Abstract |
At present, the problems of unsteady waves initiated by surface perturbations in an elastic half-space
have been studied sufficiently well (see, e.g., [1-5]; a detailed bibliography on this problem can be found in [6]). At the same time, the analytical solutions of the corresponding unsteady problems of bulk perturbations are practically absent. It is these questions as applied to the plane problem that are considered in this paper. |
| Keywords |
elastic half-plane, initial-boundary-value problems, Green's functions, integral Fourier-Laplace transform, analytical representation |
| References |
| 1. | A. G. Gorshkov and D. V. Tarlakovskii,
Dynamic Contact Problems with Moving Boundaries
(Nauka, Fizmatlit, Moscow, 1995)
[in Russian]. |
| 2. | V. B. Poruchikov,
Methods of Dynamical Elasticity
(Nauka, Moscow, 1986)
[in Russian]. |
| 3. | L. I. Slepyan and Yu. S. Yakovlev,
Integral Transformations in Unsteady Problems in Mechanics
(Sudostroenie, Leningrad, 1980)
[in Russian]. |
| 4. | D. I. Sherman,
"Vibration of an Elastic Half-Space under Given Displacements
or External Forces on the Boundary,"
in Proc. Seismological Institute of USSR Academy of Sciences, No. 118
(1946)
[in Russian]. |
| 5. | H. Lamb,
"On the Propagation of Tremors over the Surface on an Elastic Solid,"
Phil. Trans. Roy. Soc. London. Ser. A
203 (359), 1-44 (1904). |
| 6. | A. G. Gorshkov and D. V. Tarlakovskii,
"Unsteady Dynamic Contact Problems,"
in Mechanics of Contact Interactions
(Fizmatlit, Moscow, 2001),
pp. 349-416
[in Russian]. |
| 7. | A. G. Gorshkov, A. L. Medvedskii, L. N. Rabinskii, and D. V. Tarlakovskii,
Waves in Continuous Media
(Fizmatlit, Moscow, 2004)
[in Russian]. |
| 8. | E. L. Kuznetsova and D. V. Tarlakovskii,
"Explicit Form of the Solution of the Lamb Problem
at an Arbitrary Point of the Half-Plane,"
in Proc. of the 12th International Symposium
"Dynamical and Technological Problems of Structure and Continuum Mechanics." Selected Papers
(Izd-vo MAI, Moscow, 2006),
pp. 104-120
[in Russian]. |
| 9. | V. A. Vestyak, V. A. Lemeshev, and D. V. Tarlakovskii,
"Plane Unsteady Waves in an Electromagnetoelastic Half-Space and a Layer,"
Several Problems in Mechanics and Mathematics, Lviv
1, 65-67 (2008)
[in Russian]. |
| 10. | V. A. Vestyak, V. A. Lemeshev, and D. V. Tarlakovskii,
"One-Dimensional Time-Dependent Waves in an Electromagnetoelastic Half-Space or in a Layer,"
Dokl. Ross. Akad. Nauk
426 (6), 747-749 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (6), 262-264 (2009)]. |
|
| Received |
06 December 2010 |
| Link to Fulltext |
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