 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 81, Issue 6 / 2017 | Next article >> |
| L.A. Tolokonnikov, "Modelling of a continuously inhomogeneous coating of an elastic sphere by a system of homogeneous elastic layers in the problem of sound scattering," J. Appl. Math. Mech. 81 (6), 480-485 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
6 |
Pages |
480-485 |
| DOI |
10.1016/j.jappmathmech.2018.03.017 |
| Title |
Modelling of a continuously inhomogeneous coating of an elastic sphere by a system of homogeneous elastic layers in the problem of sound scattering |
| Author(s) |
L.A. Tolokonnikov (Tula State University, Tula, Russia, tolokonnikovla@mail.ru) |
| Abstract |
On the basis of analytical solutions of problems on the diffraction of a plane sound wave on a homogeneous elastic sphere with a discretely layered coating and with a continuously-inhomogeneous coating, the direction diagrams of the scattered field are calculated. It is shown that a radially inhomogeneous coating can be modelled by a system of homogeneous elastic layers. For a linear dependence of the inhomogeneity, the number of homogeneous layers in the discretely-layered coating needed to ensure a prescribed accuracy of matching of the direction diagrams of bodies with a discretely layered coating to a continuously-inhomogeneous coating has been determined. |
| Keywords |
direction diagram |
| Received |
20 April 2017 |
| Link to Fulltext |
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