Scattering of SH Waves by a Scalene Triangular Hill near Subsurface Elastic Cylindrical Inclusion
Liu Gang(1,2),Liu Diankui(2)
(1 College of Engineering, Peking University, 100871, Beijing, China) (2 School of Civil Engineering, Harbin Engineering University, 150001, Harbin, China)

Abstract: 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, domainⅠinvolves a scalene triangular hill with hemi-circular bottom, domain Ⅱis 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 domainⅠsatisfying 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.
Keywords: scattering of SH-wave, conjunction, scalene triangular hill, moving coordinate, subsurface elastic cylindrical inclusion.