Scattering of SH waves by a scalene triangular hill near subsurface elastic cylindrical inclusion

The scatting of SH waves by a scalene triangular hill above a subsurface elastic cylindrical inclusion is investigated following the conjunction thought, the solution domain is divided into three parts, domain I involves a scalene triangular hill with hemi-circular bottom, domain II is a half space with a hemi-circular canyon and a subsurface cavity, domain III remains an elastic cylinder. A standing wave function is constructed in domain I satisfying and the zero-stress condition at the triangular wedges. In domain II, two scattering wave functions satisfying the condition of stress-free at the horizontal surface are established. In domain III, another standing wave function is constructed to meet the random-stress requirement at the circle interface. A infinite set equations are solved to draw the conclusions.EI03373-3792