Investigating reflection phenomenon of plane waves in a fractional order thermoelastic rotating medium using nonlocal theory

Abstract

Within the framework of fractional-order thermoelasticity, the propagation of elastic waves in non-local isotropic rotating medium has been considered. The frequency dispersion relation is derived by solving the governing equations in the \(xy\)-plane for the given problem. Three coupled quasi-waves have been seen to move through this kind of medium at different rates. The Helmholtz decomposition theorem has been used to decompose the system into longitudinal and transverse components. Analytical computations are made for the waves’ related amplitude ratios and their speed. The amplitude ratios for the reflected waves are computed with the help of suitable boundary conditions. The impact of fractional order, rotational frequency, and non-local parameters on propagation speed and amplitude ratios has been studied and the same has been plotted graphically. In the absence of rotation, the prior findings mentioned in the literature are obtained as a specific case.