Coupled plane wave reflection at the thermally insulated rigid boundary of a fiber‐reinforced anisotropic media in context of advanced model with two thermal relaxations framework

Abstract The present investigation is concerned with the reflection of plane waves from the thermally insulated rigid boundary of a linear, homogeneous fiber‐reinforced thermoelastic medium under the Green and Lindsay (GL) model of generalized thermoelasticity. It has been found that three sets of coupled thermoelastic plane waves may travel in the medium with distinct speeds. Using the thermally insulated rigid boundary conditions, the reflection coefficients and the corresponding energy ratios for the reflected waves are derived, and the numerical computations have been carried out with the help of MATLAB programming. The numerical values of the modulus of reflection coefficients are presented graphically. The 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 reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence.