Torsional-Wave Propagation from a Rigid Sphere Semiembedded in an Elastic Half-Space

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Abstract
Two problems of torsional-wave propagation from a rigid sphere semiembedded in an elastic half-space are solved in closed form. The first problem treated is the motion of the elastic solid when the angle of twist of the sphere about a vertical line is a given function of time. The second problem is the motion of the sphere and elastic solid when the sphere is subjected to a time-dependent torque about the vertical axis.

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