Analysis of axisymmetric deformation in generalized micropolar thermoelasticity within the framework of Moore-Gibson-Thompson heat equation incorporating non-local and hyperbolic two-temperature effect

Abstract

An axisymmetric problem in micropolar thermoelastic model based on the Moore-Gibson-Thompson heat equation (MGT) under non-local and hyperbolic two-temperature (HTT) is explored due to mechanical loading. After transforming the system of equations into dimensionless form and employing potential functions, a new set of governing equations are solved using Laplace and Hankel transforms. A specific set of restrictions are applied on the boundary in the form of ring load and disk load for examining the significance of the problem. The transformed form of components of displacement, stresses, tangential couple stress, conductive temperature, and thermodynamic temperature are obtained. A numerical inversion technique is applied to recover the physical quantities in the original domain. The graphic representation of numerical findings for stress components, tangential couple stress, and conductive temperature reveals the impact of non-local and HTT parameters. Certain cases of interest are drawn out. Physical views presented in the article may be useful for the composition of new materials, geophysics, earthquake engineering, and other scientific disciplines.