Scattering of a plane harmonic wave by a completely embedded corrugated scatterer

UnrestrictedAnti-plane strain and plane strain models for steady-state scattering of elastic waves by a rough scatterer embedded either in a full space or in a half space is considered by using a direct boundary integral equation method. Both cavity and inclusion problems are investigated. The roughness of the scatterer is assumed to be periodic with arbitrary amplitude and period.; Detailed testing of the numerical results is presented. The motion along the surface of the scatterer and the half-space surface is evaluated for different corrugations, frequencies and impedance contrasts of the materials. The importance of the scatterer roughness upon the displacement field is clearly demonstrated. Larger corrugation amplitudes, shorter corrugation periods and higher frequencies may produce significant changes in the displacement field when compared with the corresponding smooth scatterer results. These effects strongly depend upon the frequency, corrugation shape and/or the impedance contrast of the materials