Effect of Internal Heat Source on a Nonlocal Thermoelastic Rotating Medium in the Context of a Dual-Phase-Lag Model with Fractional Derivative

Abstract

A new model of a rotating nonlocal thermoelastic medium is formulated based on the dual-phase-lag model with fractional derivative heat transfer. Using suitable non-dimensional variables, the problem is solved using Fourier series and Laplace transforms to obtain the exact expressions of physical fields. The distributions of the nondimensional temperature, displacements, and stresses are obtained and illustrated graphically. The effects of the rotation, the nonlocal parameter, the internal heat source, and the fractional- order parameter, on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables.