International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 7, Pages 497-505

Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticity

S. K. Roychoudhuri1 and Santwana Mukhopadhyay2

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.


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.