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The Quarterly Journal of Mechanics and Applied Mathematics 2003 56(2):311-326; doi:10.1093/qjmam/56.2.311
© 2003 by Oxford University Press
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Shear Waves in a Class of Nonlinear Viscoelastic Solids

Kumbakonam R. Rajagopal1 and Giuseppe Saccomandi2

( 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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J. Merodio and K. R. Rajagopal
On Constitutive Equations For Anisotropic Nonlinearly Viscoelastic Solids
Mathematics and Mechanics of Solids, April 1, 2007; 12(2): 131 - 147.
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