Elastic-wave scattering from a solid circular cylinder embedded in an elastic half-space

An analytical solution is presented for the elastic-wave scattering from an infinitely long, solid circular cylinder embedded in an elastic half-space. The solution utilizes the spectral (plane-wave) representation of the fields and accounts for all the multiple interactions between the interface and the buried cylinder. Compressional and shear waves are allowed in both the half-space medium and the cylinder. A buried line-source is used for excitation and several cases are considered to examine the interaction of the incident elastic waves with the buried cylinder. The solution presented here is derived in the frequency-domain but is efficient enough to provide useful time-domain results through Fourier transform techniques. Using an incident Gaussian pulse in the time-domain, simulation results demonstrate the wave components (compressional, shear, Rayleigh) on the surface of the half-space and show the effect of burial depth on the scattered wave displacement. The analytical solution is general and not limited to buried object detection but can be used in other areas, such as non-destructive evaluation of composite materials or dynamical effect studies of composites.