International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 11, Pages 1819-1834
Magneto-viscoelastic plane waves in rotating media in the
generalized thermoelasticity II
Department of Mathematics, Burdwan University, Burdwan 713 104, West Bengal, India
Received 23 June 2004
Copyright © 2005 S. K. Roy Choudhuri and Manidipa Banerjee (Chattopadhyay). 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.
A study is made of the propagation of time-harmonic magneto-thermoviscoelastic plane waves in a homogeneous electrically conducting viscoelastic medium of Kelvin-Voigt type permeated by a primary uniform external magnetic field when the entire medium rotates with a uniform angular velocity. The generalized thermoelasticity theory of type II (Green and Naghdi model) is used to study the propagation of waves. A more general dispersion equation for coupled waves is derived to ascertain the effects of rotation, finite thermal wave speed of GN theory, viscoelastic parameters and the external magnetic field on the phase velocity, the attenuation coefficient, and the specific energy loss of the waves. Limiting cases for low and high frequencies are also studied. In absence of rotation, external magnetic field, and
viscoelasticity, the general dispersion equation reduces to the dispersion equation for coupled thermal dilatational waves in generalized thermoelasticity II (GN model), not considered before. It reveals that the coupled thermal dilatational waves in generalized thermoelasticity II are unattenuated and nondispersive in contrast to the thermoelastic
waves in classical coupled thermoelasticity (Chadwick (1960)) which suffer both attenuation and dispersion.