 | | 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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| M.Yu. Remizov and M.A. Sumbatyan, "One-Mode Propagation of Elastic Waves through a Doubly Periodic Array of Cracks," Mech. Solids. 53 (3), 295-306 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
295-306 |
| DOI |
10.3103/S0025654418070099 |
| Title |
One-Mode Propagation of Elastic Waves through a Doubly Periodic Array of Cracks |
| Author(s) |
M.Yu. Remizov (South Federal University, ul. Mil'chakova 8a, Rostov-on-Don, 344090 Russia)
M.A. Sumbatyan (South Federal University, ul. Mil'chakova 8a, Rostov-on-Don, 344090 Russia, sumbatma@mail.ru) |
| Abstract |
The article is devoted to the derivation of analytical expressions for the reflection and propagation coefficients, when a plane longitudinal wave falls on a system of a finite number of consecutively located identical flat gratings, each of which consists of a periodic array of rectilinear cracks in an elastic isotropic medium. The problem is solved in a flat statement. In the mode of single-mode frequency range, the problem is reduced to a system of hypersingular integral equations, the solution of which gives the reflection and propagation coefficients, as well as the representation of the wave field inside the medium. |
| Keywords |
reflection and propagation coefficients, doubly periodic lattice, hypersingular integral equation, crack system, acoustic filter |
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|
| Received |
22 January 2017 |
| Link to Fulltext |
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