Abstract
SUMMARY The 2-D propagation of horizontally polarized shear waves in a type of radially anisotropic elastic medium is considered. The shear moduli and the wave speeds are different in the radial and angular directions and the medium is thus both anisotropic and inhomogeneous, with a material singularity at the origin. Two simple wave-propagation problems are considered: radiation by a point source in an unbounded radially anisotropic medium, and the scattering of a plane wave by a radially anisotropic disc in an isotropic surrounding. The results are displayed by contour plots of the displacement field in the vicinity of the point source or the disc. Results for both time-harmonic disturbances and pulses are given. The most striking feature of the results is the focusing in the radial direction of the radiation from the point source that appears when the radial wave speed is greater than the angular one.
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