International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 7, Pages 497-505
doi:10.1155/S0161171200001356
Effect of rotation and relaxation times on plane waves in generalized
thermo-visco-elasticity
1Department of Mathematics, University of Burdwan, Burdwan 713104, India
2Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221 005, India
Received 8 March 1996
Copyright © 2000 S. K. Roychoudhuri and Santwana Mukhopadhyay. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The generalized dynamical theory of thermo-elasticity proposed by
Green and Lindsay is applied to study the propagation of
harmonically time-dependent thermo-visco-elastic plane waves of
assigned frequency in an infinite visco-elastic solid of
Kelvin-Voigt type, when the entire medium rotates with a uniform
angular velocity. A more general dispersion equation is deduced to
determine the effects of rotation, visco-elasticity, and
relaxation time on the phase-velocity of the coupled waves. The
solutions for the phase velocity and attenuation coefficient are
obtained for small thermo-elastic couplings by the perturbation
technique. Taking an appropriate material, the numerical values of
the phase velocity of the waves are computed and the results are
shown graphically to illustrate the problem.