A Note About Waves in Dissipative and Dispersive Solids

Abstract

We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations which are a vectorial generalization of the Modified KDV-Burger equation. In such a way we show that the model takes into account not only dissipative effects but also dispersive effects.