A Two Dimensional Axisymmetric Thermoelastic Diffusion Problem of Micropolar Porous Circular Plate with Dual Phase Lag Model

Abstract

In the present work, we consider a two dimensional axisymmetric problem of micropolar porous circular plate with thermal and chemical potential sources in the context of the theory of dual phase lag generalized thermoelastic diffusion. The potential functions are used to analyze the problem. The Laplace and Hankel transforms techniques are used to find the expressions of displacements, microrotation, volume fraction field, temperature distribution, concentration and stresses in the transformed domain. The inversion of transforms based on Fourier expansion techniques is applied to obtain the results in the physical domain. The numerical results for resulting quantities are obtained and depicted graphically. Effect of porosity, LS theory and phase lag are presented on the resulting quantities. Some particular cases are also deduced.

Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium

“…Biswas [30] investigated fundamental solution of steady oscillations in the thermoelastic medium with voids. Kumar et al [31] studied two dimensional axisymmetric thermoelastic diffusion problem of the micropolar porous circular plate with dual phase lags.…”

“…Kumar et al. [31] studied two dimensional axisymmetric thermoelastic diffusion problem of the micropolar porous circular plate with dual phase lags.…”