Abstract

Eason's technique [1] is applied and solutions, in terms of confluent hypergeometric functions, are obtained for transient cylindrical shear wave propagation in inhomogeneous viscoelastic solids. The results contain sufficient arbitrary constants for them to have a wide application to particular impact loading problems. The efficacy of the method is illustrated through the construction of some particularly simple closed-form exact solutions. Asymptotic wavefront expansions for a number of problems are also presented and it is pointed out that the solutions in terms of confluent hypergeometric functions for viscoelastic problems reduce in the appropriate way to solutions in terms Bessel functions of the second kind for the corresponding purely elastic problems.

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