SH-wave Green Function for a Radially Inhomogeneous Elastic Solid

Abstract

A Green function for a radially inhomogeneous elastic solid is obtained exactly. Both impulsive and time-harmonic SH-wave sources are assumed. Wave front shapes and rays for transient waves are derived and the time-harmonic response is also obtained. Non-wave nature of the time-harmonic response is found in the case of constant velocity gradient.