Two-dimensional problem of a fiber-reinforced thermo-diffusive half-space with four relaxation times

The present manuscript is aimed at studying the propagation of plane waves in a fiber-reinforced, anisotropic, thermoelastic half-space with diffusion. The formulation is applied to generalized thermoelasticity based on the Green–Lindsay (G–L) theory. A thermal shock is applied on the surface of the half-space, which is taken to be traction free. The analytical expressions for the displacement components, stresses, concentration and temperature field are obtained in the physical domain by using normal mode analysis. Moreover, the derived expressions are computed numerically, and corresponding graphs are plotted to illustrate and compare theoretical results. Comparisons are made within the theory in the presence and absence of fiber-reinforcement and diffusion. The effect of time on the physical fields is also observed. Some particular cases of interest have been deduced from the present investigation.