Shear Waves in a Class of Nonlinear Viscoelastic Solids
- 1 May 2003
- journal article
- research article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 56 (2) , 311-326
- https://doi.org/10.1093/qjmam/56.2.311
Abstract
We investigate the propagation of shear waves in a special class of nonlinear viscoelastic solids of differential type. We determine several useful exact solutions for such models for initial data with compact and non‐compact support. Moreover, we find some explicit examples of blow‐up for boundary‐value problems with smooth initial data.Keywords
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