Dynamic analysis for shallow elastic cylindrical inclusion near multiple semi-cylindrical hills impacted by SH-wave

Complex variable function and moving coordinates were introduced to investigate the dynamic stress concentration of a subsurface elastic cylindrical inclusion below multiple semi-cylindrical hills under SH-wave. The whole model was divided into two parts. Part I was composed of multiple circular domains which include the boundaries of multiple hills, and all the rest can be considered as part square. Therefore the lower half boundaries of multiple circular domains were ldquocommon boundariesrdquo of two parts. The next process was constructing the suitable displacement solutions in two parts respectively. Considering the boundary conditions of common boundaries and the elastic inclusion, a series infinite algebraic equation for dynamic stress concentration factors (DSCF) can be obtained. Finally, the calculating results are provided to show the influence of different parameters on DSCF.