Elastic Wave Scattering at a Cylindrical Discontinuity in a Solid

This study deals with the scattering of plane compressional and shear elastic waves incident obliquely on an infinitely long nondissipative cylindrical elastic discontinuity in an isotropic solid. Equations whose solutions are the coefficients in series expressions for the scattered waves are derived for the case of scattering at an elastic solid cylinder embedded in a different solid medium. From these equations are obtained those governing scattering at a fluid‐filled cylindrical bore, and at an empty bore.In general, when a wave of either the compressional or shear type is incident on an elastic discontinuity, scattered waves of both types are produced, a process known as “mode conversion.” A simple relation is shown to exist between the two far‐zone distributions‐in‐angle, and between the two scattering cross sections for the waves undergoing mode conversion in the scattering of compressional and normally polarized shear waves incident normally upon either a fluid‐filled or an empty bore.For an empty ...