Abstract
Formal ray methods are developed for generating asymptotic wavefront expansions for rotary shear stress transients in inhomogeneous viscoelastic media whose behaviour is governed by integral stress-strain laws expressed in terms of either creep or relaxation functions. General results are obtained for arbitrary creep functions which depend on the radial distance from the axis of a cylindrical hole. Specific solutions are then presented for a creep functionJ(r, t) which is an analogue, for inhomogeneous media, of that first introduced by Jeffreys [1]. As a check on our results we show, how, in various limiting cases, they reduce to known exact and asymptotic results obtained previously by other investigators.
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