The Influence of Variable Thermal Conductivity and Rotation on a Spherical Shell Under the Moore–Gibson–Thompson Thermoelastic Theorem

This research presents a novel thermomechanical model of a rotatable spherical shell characterized by changing thermal conductivity, situated within the framework of the Moore–Gibson–Thompson (MGT) theorem of generalized thermoelasticity. The governing differential equations in the Laplace transform domain, utilizing non-dimensional variables, have been applied to a thermoelastic, isotropic, homogeneous spherical shell subjected to ramp-type thermal loading. The numerical distributions of temperature increase, volumetric strain, and invariant average stress are illustrated in figures for varying values of thermal conductivity, ramp-time heat, rotation speed, and Moore–Gibson–Thompson relaxation time, and are analyzed. The variable thermal conductivity impacts all analyzed functions and substantially modifies the behaviour of the thermomechanical spherical shell. The ramp-time heat, rotational speed, and relaxation time of the Moore–Gibson–Thompson parameters substantially influence the distributions of temperature increase, volumetric strain, and invariant stress.