Plane wave propagation in a fiber-reinforced thermoelastic rotating medium with variable thermal conductivity under modified Green–Lindsay model
Kapil Kumar Kalkal, Sunil Kumar, Aarti Kadian
Abstract
The present investigation is concerned with the reflection of thermoelastic plane waves in an anisotropic, rotating, fiber-reinforced medium having variable thermal conductivity. Modified Green–Lindsay theory (MGL) is used to formulate the problem. It is shown that there exist three kinds of coupled quasi-waves, namely, qP1 (quasi longitudinal displacement), qP2 (quasi thermal) and qP3 (quasi transverse displacement). Using appropriate boundary conditions, the reflection coefficients, phase velocities and energy ratios of these reflected waves have been calculated numerically and shown graphically to exhibit the effects of rotational and fiber-reinforcement parameters. The characteristics of MGL model are discussed by comparing the numerical results procured for the present model with those procured in the case of Green–Lindsay (GL) model. It has been shown that during reflection phenomenon, the sum of energy ratios is equal to unity at each angle of the incident.