The effect of gravity on a nonlocal fiber-reinforced thermoelastic solid with reference temperature-dependent material properties via various theories

Abstract The goal of this work is to examine the effect of the gravity on a nonlocal fiber-reinforced half-space with reference temperature-dependent material properties. The three-phase lag model, the type III Green–Naghdi theory, and the Lord–Shulman theory all with memory-dependent derivatives are taken into consideration while analyzing the issue. To derive the precise formulations of physical fields, the harmonic wave analysis method is used. To quantify the impact of temperature-dependent on the characteristics of the medium and gravity, graphs are used. It is found that the physical quantities are affected by gravity, the nonlocal parameter, and reference temperature-dependent material properties. The method that was used in the present article is applicable to a wide range of problems in hydrodynamics and thermoelasticity.