A rigorous theory of the scattering of two dimensional SH-waves by an irregularity at the mass-loaded boundary of a semi-infinite elastic medium is presented. Two types of surface irregularities are considered: (a) an indentation, (b) a discontinuity in mass-loading. n mass-loading. The incident SH-wave is taken to be either (1) a bulk wave or (2) a surface wave. For the two types of irregularities, the corresponding boundary value problem (of the third kind) is solved by employing a suitably chosen Green function; the latter is represented as a Fourier type of integral. This procedure leads to integral equations in which the relevant field distributions on the disturbed parts of the boundary occur as unknown quantities. In case (1) the amplitudes of the launched surface wave are computed; in case (2) the transmission and the reflexion factor are computed. For both cases, expressions are obtained for the far-field radiation pattern of the scattered bulk wave. In an appendix a reciprocity relation is derived between the amplitude of the launched surface wave as a function of the angle of incidence in case (1) on one hand and the far-field radiation pattern of the scattered bulk wave in case (2) on the other hand. Numerical results are presented for the following configurations: a triangularly prismatic indentation, a rigid strip loading and a traction-free interruption in the mass-loading.
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F. L. Neerhoff (1975) studied this question.
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