 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| E.L. Kuznetsova, D.V. Tarlakovskii, and G.V. Fedotenkov, "Propagation of Unsteady Waves in an Elastic Layer," Mech. Solids. 46 (5), 779-787 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
779-787 |
| DOI |
10.3103/S0025654411050128 |
| Title |
Propagation of Unsteady Waves in an Elastic Layer |
| Author(s) |
E.L. Kuznetsova (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, vida_ku@mail.ru)
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)
G.V. Fedotenkov (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, greghome@mail.ru) |
| Abstract |
We consider a plane problem of propagation of unsteady waves in a plane layer of constant thickness filled with a homogeneous linearly elastic isotropic medium in the absence of mass forces and with zero initial conditions. We assume that, on one of the layer boundaries, the normal stresses are given in the form of the Dirac delta function, the tangential stresses are zero, and the second boundary is rigidly fixed. The problem is solved by using the Laplace transform with respect to time and the Fourier transform with respect to the longitudinal coordinate. The normal displacements at an arbitrary point are obtained in the form of finite sums. |
| Keywords |
elastic layer, influence function, unsteady elastic waves, Laplace transform, Fourier transform |
| References |
| 1. | A. G. Gorshkov, A. L. Medvedskii, L. N. Rabinskii, and D. V. Tarlakovskii,
Waves in Continuous Media
(Fizmatlit, Moscow, 2004)
[in Russian]. |
| 2. | A. G. Gorshkov and D. V. Tarlakovskii,
Dynamic Contact Problems with Moving Boundaries
(Nauka, Fizmatlit, Moscow, 1995)
[in Russian]. |
| 3. | L. I. Slepyan and Yu. S. Yakovlev,
Integral Transforms in Unsteady Problems in Mechanics
(Sudostroenie, Leningrad, 1980)
[in Russian]. |
| 4. | V. A. Vestyak and D. V. Tarlakovskii,
"Nonstationary Surface Influence Functions for Electromagnetoelastic Half-Plane,"
in Proc. 15th Intern. Symp.
"Dynamical and Technological Problems of Structural and Continuum Mechanics"
dedicated to A. G. Gorshkov, Vol. 1
("PARADIZ" Press, Moscow, 2009),
pp. 43-44. |
| 5. | E. L. Kuznetsova and D. V. Tarlakovskii,
"Explicit Form of the Lamb Problem Solution at an Arbitrary Point of the Half-Space,"
in Proc. 12th Intern. Symp.
"Dynamical and Technological Problems of Structural and Continuum Mechanics,"
Selected papers
(Izd-vo MAI, Moscow, 2006),
pp. 104-120. |
|
| Received |
17 September 2010 |
| Link to Fulltext |
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