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Boundary-integral equation method for elastodynamic scattering by a compact inhomogeneity

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Abstract

The set of singular integral equations which relates unknown fields on the surface of the scatterer to a time-harmonic incident wave is solved by the boundary element method. The general method of solution is discussed in some detail for scattering by an inclusion. Results are presented for a spherical cavity, and for a soft and a stiff spherical inclusion. Fields on the surface of the scatterer are compared with previous results obtained by different methods. Back-scattered and forward-scattered displacement fields are presented, both as a function of position at fixed frequency, and as a function of frequency at fixed position. The quasi-static approximation is briefly discussed.

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Kitahara, M., Nakagawa, K. & Achenbach, J.D. Boundary-integral equation method for elastodynamic scattering by a compact inhomogeneity. Computational Mechanics 5, 129–144 (1989). https://doi.org/10.1007/BF01046482

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