Modified Moore–Gibson–Thompson Thermoelastic Model with Hyperbolic Two Temperatures Effect on Semiconducting Thermoelastic Solid Cylinder
Iqbal Kaur, Kulvinder Singh
Abstract
The goal of this study is to examine the photo-thermoelastic interactions in an infinite semiconducting solid cylinder with rotation subjected to an exponential laser pulse as a variable heat flux along the boundary surface. A Moore-Gibson-Thompson-Photo-Thermal (MGTPT) equation with hyperbolic two temperatures is used to express the equations that govern heat conduction in deformable bodies based on the difference between conductive and dynamic temperature acceleration. Proposed mathematical model is solved in a transformed domain using the Laplace transform. For computing displacement components, conductive temperature, thermal stresses, and carrier density in the physical domain, numerical inversion is used. A graphic representation of all the parameters are generated using MATLAB software to illustrate the effect of thermal relaxations as well as different theories of thermoelasticity with two temperatures.