New Insights on Fractional GN II Thermoelasticity Theory

Abstract

In the framework of recent research on Fourier’s heat conduction law with fractional orders, a novel model of Green-Naghdi of type II (GN II) thermoelasticity has been devised. The uniqueness theorem has been established for a unified heat transport equation. As limit instances, certain theories are presented. The problem is solved using the Laplace and Fourier transform techniques. By using a complex transform reversal formula, Fourier expansion techniques are utilized to quantitatively build the reverses of Fourier transforms and Laplace processes. For temperature, displacement, and stress distributions, numerical findings are presented and visually displayed. The findings obtained for various choices of time-fraction parameters create certain correlations.