Compact travelling waves in viscoelastic solidsM. Destrade1, P. M. Jordan2 and G. Saccomandi3
1 School of Electrical, Electronic, and Mechanical Engineering, University College Dublin Belfield, Dublin 4, Ireland, EU
2 Code 7181, Naval Research Laboratory, Stennis Space Center - MS 39529-5004, USA
3 Dipartimento di Ingegneria Industriale, Università degli Studi di Perugia - 06125 Perugia, Italy, EU
received 20 June 2009; accepted in final form 28 July 2009; published August 2009
published online 2 September 2009
We introduce a model for nonlinear viscoelastic solids, for which travelling shear waves with compact support are possible. Using analytical and numerical methods, we investigate the general case of this model, and an exact, kink-type travelling-wave solution is obtained as a special case result. Additionally, we derive and examine a new Burgers' type evolution equation based on the introduced constitutive equations.
83.60.Df - Nonlinear viscoelasticity.
47.35.De - Shear waves.
94.05.Fg - Solitons and solitary waves.
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