Abstract
The present article deals with the propagation of plane waves in a magneto-thermoelastic medium under the effects of variable thermal conductivity and variable mass diffusivity. It is observed that three coupled longitudinal plane waves and one transverse wave travel in the medium with distinct speeds. The formulae for amplitude ratios and energy ratios corresponding to various reflected waves have been presented, when a set of coupled waves strikes obliquely at the boundary surface of the assumed model. To illustrate the analytical developments, the numerical solution is performed for a particular material and the results in respect of phase velocities, amplitude ratios and energy ratios are presented graphically. It is observed that the results depend upon the angle of incidence, frequency and the thermoelastic properties of the half-space. It is verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence and there is no energy dissipation at the free plane boundary. Results of some earlier workers have been deduced from the present formulation.
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