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- W2091997130 abstract "This paper is concerned with the propagation of three-dimensional waves in nonhomogeneous isotropic elastic media. Herein we develop a formal method for the solution of the linearized equations of elasticity for nonhomogeneous media whose properties depend continuously on the radial distance from a point. The method is developed for the equations of motion formulated in terms of displacements, velocities, and stresses. It is based on a method developed by Karal and Keller for the asymptotic solution of the linearized equations of elasticity formulated in terms of displacements and displacement potentials, and is a generalization of results obtained for the one-dimensional case by Cooper and for the two-dimensional case by the author.The method is applied to the propagation of dilatational waves generated by a radial input velocity in the form of a unit function applied to the surface of the hole in a medium whose properties depend on the radial distance from the center of the hole according to a general law. Also, we apply the method to the propagation of purely distortional waves generated by a stress applied at the hole and corresponding to a tangential impulse symmetrical about a diameter of the hole." @default.
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- W2091997130 date "1972-10-01" @default.
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- W2091997130 title "Elastic Waves Originating at the Surface of a Spherical Opening in Nonhomogeneous Isotropic Media" @default.
- W2091997130 doi "https://doi.org/10.1139/p72-311" @default.
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