Dynamic Response of a Subsurface Circular Structure Near a Semi-cylindrical Alluvial Valley Under Incident SH-waves

The methods of complex function and multi-polar coordinates are used in this paper to survey the dynamic response of a subsurface circular structure near a semi-cylindrical alluvial valley under incident SH-waves. The solution region is divided into two parts, Domain I is a semi-cylindrical alluvial valley, and Domain Ⅱ is an elastic half space with semi-cylindrical alluvial valleys near a subsurface circular cavity. A series of infinite algebraic equations is then obtained based on the displacement and stress continuity condition on “common boundary” of two parts after constructing the associated displacement and stresses expressions of each part. Finally, numerical examples and relative discussion on ground motion and dynamic stress concentration factor (DSCF) are provided. The conclusion is: DSCF around the subsurface circular structure near semi-cylindrical alluvial valley is influenced manifestly by wave number, but slightly by the existence of semi-cylindrical alluvial valleys.