Fractional-Order Thermoelastic Wave Assessment in a Two-Dimensional Fiber-Reinforced Anisotropic Material

Abstract

The present work is aimed at studying the effect of fractional order and thermal relaxation time on an unbounded fiber-reinforced medium. In the context of generalized thermoelasticity theory, the fractional time derivative and the thermal relaxation times are employed to study the thermophysical quantities. The techniques of Fourier and Laplace transformations are used to present the problem exact solutions in the transformed domain by the eigenvalue approach. The inversions of the Fourier-Laplace transforms hold analytical and numerically. The numerical outcomes for the fiber-reinforced material are presented and graphically depicted. A comparison of the results for different theories under the fractional time derivative is presented. The properties of the fiber-reinforced material with the fractional derivative act to reduce the magnitudes of the variables considered, which can be significant in some practical applications and can be easily considered and accurately evaluated.

Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer

“…Abo-Dahab et al (2019) illustrated the impacts of gravity on a rotating thermo-diffusive medium with voids under magnetic field subjected to both LS and DPL models. An unbounded fiber-reinforced medium was considered by Horrigue and Abbas (2020) to investigate the effect of fractional order thermoelasticity theory. Gupta et al (2022a) have studied the impact of hall current in an infinite nonlocal thermoelastic medium comprising double porosity.…”