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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2008-6pp.910-918

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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
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