Diffusion, rotation, and lagging behavior of a thermoelastic micropolar medium with voids and temperature gradient under mechanical pressure

Abstract

Thermodiffusion in micropolar thermoelastic material with voids rotating with a uniform angular velocity is investigated using the harmonic solution as an analytical method. The modified Ohm's Law has been motivated to discuss the temperature gradient and the charge density effects in the problem's descriptive equations. The material was subjected to initial mechanical pressure and a Dual-Phase-Lag model. Certain results are calculated numerically and presented graphically for various cases. The discussed figures in the manuscript were the distribution of the physical quantities in the studied problem; such as, the strain, the normal stress, the temperature, the concentration, the change in the volume fraction field, and the microrotation vector with the displacement coordinate. The comparisons were established for two values of rotation and two values of the coefficient connecting the temperature gradient and the electric current density in two-dimensional space. These quantities are also plotted in three-dimensional space. The results are applicable in many areas, including seismic engineering, and manufacturing.