Abstract

The problem of wave propagation in 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 in a magnetic field. A more general dispersion equation is deduced to determine the effects of rotation, viscoelasticity and relaxation time on the phase velocity of the coupled waves. The perturbation technique has been employed to obtain the phase velocity and attenuation coefficient for small thermo-elastic couplings. 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. The results are compared with those obtained earlier.

Key words: Plane waves, magneto-visco-elastic medium, phase velocity, attenuation coefficient perturbation technique.