A note about waves in dissipative and dispersive solids
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Destrade, M., & Saccomandi, G. (2008). A note about waves in dissipative and dispersive solids. Paper presented at the Proceedings of the 14th Conference on Waves and Stability in Continuous Media (WASCOM 2007). , Singapore. : World Sci. Publ., Hackensack, NJ
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.