Interaction Of Vertical Interface And Inclusion In Half Space Impacted By SH-waves

In this paper, complex function and Green’s function methods are used to invesitigate theanalysis solutions of the scattering of SH waves by the circular elastic hole or the circularelastic inclusion near vertical interface in half space based on the linear elastic theory. Tosolve the problems, fistly, Green’s function is constructed to meet the needs of the problems,which is an essential solution of displacement field for an elastic right-angle space containingan elastic circular hole or an elastic circular inclusion while bearing out-of-plane harmonicline source load at any point of its vertical boundary. The key of the problems are theconstructed of displacement expressions of line source force in right-angle space withoutmedia defects and the scattering waves producted by media defects. In this paper, the methodof fictitious line source force is used to constructe the expression of incident waves whichsatisfies the stress free condition at the horizontal boundary in right-angle space, and theexpression of scattering waves which satisfies the stress free conditions at the two verticalboundaries can be obtained with the method of “image”. Secondly, the expressions of theincident waves, the reflected waves, the refracted waves and the scattering waves productedby the circular hole or the circular inclusion, which satisfy the boundary cinditions, can beconstructed using the “image” method. Meanwhile, the bi-material media is divided into twoparts along the vertical interface using the idea of interface “conjunction”, then theundetermined anti-plane forces are loaded at the linking sections respectively to satisfydisplacement and stress continuity conditions. So a series of Fredholm integral equations offirst kind for determining the unknown forces can be set up. Finally, some examples fordynamic stress concentration factor around the circular elastic hole edge or circular elasticinclusion edge are given. Numerical results discuss the distribution of dynamic stressconcentration factor and amplitude of ground surface with the changes of the nondimensionalparameters.