Axisymmetric deformation of a circular plate of double-porous fractional order thermoelastic medium with dual-phase-lag

Abstract

In this paper, an axisymmetric deformation problem of a circular plate of double-porous medium with fractional order thermoelastic dual-phase-lag has been discussed by taking a mathematical model. The solution of the problem is obtained in the transformed field of Laplace and Hankel transforms using eigen value approach in dimensionless form. The solution in the transformed form is inverted numerically for a specific model using a numerical inversion technique for integral transforms through a programme code in MATLAB. The numerical results are discussed graphically, and the impact of the fractional order parameter on various field quantities (normal stress, shear stress, equilibrated stresses and temperature distribution) is observed. Particular cases are discussed by (i) neglecting the porous parameters and (ii) taking different combinations of phase-lag parameters and fractional order parameter, to describe the generalized nature of the problem and the validity of the problem considered.