Reflection of plane waves in an anisotropic magnetothermoelastic diffusive medium with temperature dependent properties

摘要

In this article, a model of two dimensional problem of generalized thermoelasticity for an anisotropic magnetothermoelastic diffusive medium under the effect of temperature dependent properties is established. The enunciation is applied to generalized thermoelasticity theory based on Green-Lindsay model. There exist four coupled waves, namely, quasi-longitudinal P-wave (qP), quasi-longitudinal thermal wave (qT), quasi-longitudinal mass diffusive wave (qMD), and quasi-transverse wave (qSV) in the medium. Amplitude and energy ratios for these reflected waves are derived and the numerical computations have been carried out with the help of MATLAB programing. Effects of temperature dependent properties, magnetic and diffusion parameters on the amplitude and energy ratios are depicted graphically. Expressions of energy ratios have also been obtained in explicit form and are shown graphically as functions of angle of incidence. It has been verified that during the reflection phenomenon, the sum of energy ratios is equal to unity at each angle of incidence. Effect of anisotropy is also depicted on velocities of various reflected waves.