 | | 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
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 43, Issue 6 / 2008 | Next article >> |
| O. M. Khai, "Scattering of harmonic waves by a disk-shaped rigid inclusion in a three-dimensional elastic matrix," Mech. Solids. 43 (6), 910-918 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
6 |
Pages |
910-918 |
| DOI |
10.3103/S0025654408060083 |
| Title |
Scattering of harmonic waves by a disk-shaped rigid inclusion in a three-dimensional elastic matrix |
| Author(s) |
O. M. Khai (Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Naukova 3-b, L’viv, 79060, Ukraine, khay@iapmm.lviv.ua) |
| Abstract |
We consider a three-dimensional problem on the interaction of harmonic waves with a thin rigid movable inclusion in an infinite elastic body. The problem is reduced to solving a system of two-dimensional boundary integral equations of Helmholtz potential type for the stress jump functions on the opposite surfaces of the inclusion. We propose a boundary element method for solving the integral equations on the basis of the regularization of their weakly singular kernels. Using the asymptotic relations between the amplitude-frequency characteristics of the wave farzone field and the obtained boundary stress jump functions, we determine the amplitudes of the shear plane wave scattering by a circular disk-shaped inclusion for various directions of the wave incident on the inclusion and for a broad range of wave numbers. |
| Received |
28 November 2005 |
| Link to Fulltext |
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