Reflection and transmission between thermoelastic and initially stressed fiber-reinforced thermoelastic half-spaces under dual-phase-lag model

Reflection and transmission phenomena at the plane interface between thermoelastic half-space and an initially stressed fiber-reinforced thermoelastic half-space are analyzed. The formulation is applied to generalized thermoelasticity based on the dual-phase-lag theory. Using convenient boundary conditions, the amplitude ratios and energy ratios for the reflected and transmitted waves are derived, and the numerical computations are carried out with the help of MATLAB programming. The numerical values of the modulus of reflection and transmission coefficients are presented graphically to highlight fiber-reinforced and initial stress parameter effects. The expressions of energy ratios obtained in explicit form are shown graphically as functions of angle of incidence. It has been verified that during reflection and transmission phenomena, the sum of energy ratios is equal to unity at each angle of incidence. The effect of anisotropy on velocities of reflected and transmitted waves is also depicted.