Propagation of axisymmetric waves in an elastic half-space containing a cylindrical inclusion. Part II: Analysis of singularities, behavior at wave fronts and numerical results

In the preceding paper (Part I), the general solution for the response of an elastic half-space containing a rigid-lubricated inclusion and subjected to a dynamically applied circular line load at the plane surface has been obtained. The resulting P-, S- and Rayleigh surface waves which propagate along the plane surface are identified from the discontinuities and poles of the solution. In the present paper (Part II), the behavior and jump discontinuities in the vicinity of the wave fronts are analyzed and the surface behavior under the applied load is determined. The surface displacements are evaluated numerically for various parameter values. Finally, the long-time solution is seen to approach the corresponding static solution.