Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticityReport as inadecuate




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



Department of Mathematics, University of Burdwan, Burdwan 713104, India

Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221 005, India

Received 8 March 1996

Copyright © 2000 Hindawi Publishing Corporation. 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 byGreen and Lindsay is applied to study the propagation ofharmonically time-dependent thermo-visco-elastic plane waves ofassigned frequency in an infinite visco-elastic solid ofKelvin-Voigt type, when the entire medium rotates with a uniformangular velocity. A more general dispersion equation is deduced todetermine the effects of rotation, visco-elasticity, andrelaxation time on the phase-velocity of the coupled waves. Thesolutions for the phase velocity and attenuation coefficient areobtained for small thermo-elastic couplings by the perturbationtechnique. Taking an appropriate material, the numerical values ofthe phase velocity of the waves are computed and the results areshown graphically to illustrate the problem.





Author: S. K. Roychoudhuri and Santwana Mukhopadhyay

Source: https://www.hindawi.com/



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