Elastic radiation from a point force in an anisotropic medium

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Abstract
An expression for the displacement field due to a point force in an unbounded, anisotropic elastic medium is derived using a radon-transform method. The field is thus a Green's function for the anisotropic elastic whole space. A relatively simple algebraic expression for the asymptotic field is then found by means of the principle of stationary phase together with certain aspects of the differential geometry of the slowness surface. The general results are applied to the transversely isotropic medium; numerical results are presented for the hexagonal crystals of cobalt and apatite. The results of this work should be of value in the disciplines of crystal physics and seismology.

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