Compact travelling waves in viscoelastic solids
Michel Destrade, Pedro M. Jordan, Giuseppe Saccomandi
TL;DR
This paper presents a new model for nonlinear viscoelastic solids that admits exact compact traveling shear wave solutions and derives a related Burger's type evolution equation.
Contribution
It introduces a novel constitutive model enabling compact shear waves and derives an associated Burger's type evolution equation.
Findings
Exact compact shear wave solutions obtained
New Burger's type evolution equation derived
Model advances understanding of nonlinear viscoelastic wave propagation
Abstract
We introduce a model for nonlinear viscoelastic solids where traveling shear waves with compact support are possible. We obtain an exact compact solution. We also derive a new Burger's type evolution equation associated with the introduced constitutive equation.
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