© 2003 by Oxford University Press
Shear Waves in a Class of Nonlinear Viscoelastic Solids
( 1 Department of Mechanical Engineering, Texas A&M University, College Station, TX 77845, USA 2 Sezione di Ingegneria Industriale, Dipartimento di Ingegneria dell'Innovazione, Università degli Studi di Lecce, 73100 Lecce, Italy )
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.
Received 14 February 2002. Revised 5 July and 10 October 2002.
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