Fiber-reinforced material in a double porous transversely isotropic medium with rotation and variable thermal conductivity

Abstract

The present manuscript investigates the thermoelastic interactions in a double porous transversely isotropic fiber-reinforced material with rotation and variable thermal conductivity, when a thermal load is applied on the surface of the half-space. The governing equations are formulated in the light of Green–Lindsay theory of generalized thermoelasticity. The normal mode technique is adopted to procure the analytical expressions for the physical fields such as temperature, stresses, equilibrated stresses and displacement components in the physical domain. With the help of MATLAB software, these physical fields are computed numerically and depicted graphically to scrutinize the effects of rotation, variable thermal conductivity and time on the physical fields. Some comparisons are made in the presence and absence of double porosity and fiber reinforcement to highlight the distinctive nature of the problem under investigation. Furthermore, it is observed that the physical fields are consistent with the boundary conditions and become zero outside some bounded region of space. This observation aligns with the principles of generalized thermoelasticity theory.