Gravitational Effect on a Fiber-Reinforced Thermoelastic Medium with Temperature-Dependent Properties for Two Different Theories

Abstract

A general model of equations of the three-phase-lag model and thermoelasticity without energy dissipation theory was used to study the effect of the gravity field on a fiber-reinforced thermoelastic half-space. The material is a homogeneous isotropic elastic half-space. Normal mode analysis was used to get the exact expressions for the displacement components, force stresses and temperature. The variations of the considered variables with the horizontal distance were illustrated graphically. Comparisons were made with the results of the two theories in the absence and presence of the gravity field as well as the reinforcement. A comparison was also made between the results of the two theories with and without temperature-dependent properties.