Thermomechanical deformation in a micropolar thermoviscoelastic solid under the Moore-Gibson-Thompson heat equation with non-local and hyperbolic two-temperature effects

This study addresses an axisymmetric problem within the framework of micropolar thermoviscoelasticity, governed by the Moore-Gibson-Thompson (MGT) heat conduction equation. The analysis incorporates non-local elasticity and hyperbolic two-temperature (HTT) effects under applied mechanical loading. By introducing appropriate potential functions, the governing system is reformulated into a dimensionless form and solved using Laplace and Hankel transform techniques. Boundary conditions involving a normally distributed mechanical force and a ramp-type thermal input are considered to examine their impact. Analytical expressions for displacements, stress components, tangential couple stress, conductive temperature, and thermodynamic temperature are derived in the transformed domain and subsequently recovered using a numerical inversion method. Graphical representations illustrate how variations in viscosity, non-locality, and HTT parameters influence thermal and mechanical responses. Special cases are also examined to validate the model's generality. This research holds relevance for industrial applications in steel manufacturing and petroleum engineering, as well as in geomechanical modeling, particularly in understanding stress and temperature behavior during seismic activities.