The Interaction Of Two-isosceles Triangular Hills Or Structures To Incident SH Waves

Antiplane responses of two isosceles triangular hills to incident SH waves are studied in this paper based on the method of wave function expansion technique, complex variable, transformed coordinates and conjunction.To solve the problem, the structure can be divided into three domains, in whom domain I involves one triangular hill with a hemi-circular bottom, domain II includes the other triangular hill with a hemi-circular bottom, the rest is domain III. Wave functions are constructed in domain I and domain II, respectively, which satisfy the traction free at the triangular edge and arbitrary at the other edges. In domain III, we can construct the scattered wave function, which satisfies the requirements of traction free on the horizontal surface. Then, by using transformed coordinate method and complex variable, a series of infinite algebraic equations can be established according to displacement and stress continuity, which is solved by Fourier expansion technique and truncation finite order of infinite algebraic equations. Finally the numerical cases about horizontal surface displacement are provided to show influences of physical parameters, geometrical parameters and wave number.