Abstract
The propagation characteristics (i.e., wave velocity & amplitude strength) of small disturbances existing in a large base motion of a BKZ viscoelastic liquid are considered. A small motion superposed on a large deformation is taken to be a wave of small amplitude propagating across a base flow. The analysis treats a wave as a singular surface across which there is a jump discontinuity of a kinematical variable. Specific attention is directed to second order waves where the perturbed displacement and its first derivatives are continuous but higher order derivatives are not. The growth and decay of amplitude of small plane second order shear waves propagating across steady simple shearing flow is studied in detail. Using the Zapas form for the BKZ material function, it is found that the amplitude of these shear waves will always decay. The rate of decay is dependent on the rate of shear of the base flow.
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