Response of Non-local and Heat Source in Moore-Gibson-Thompson Theory of Thermoelasticity with Hyperbolic Two Temperature

Abstract

A new mathematical model of the Moore–Gibson–Thompson (MGT) theory of thermoelasticity under non-local and hyperbolic two-temperature (HTT) has been developed. The preliminary equations are put in two-dimensional form and are converted into dimensionless form. The obtained equations are simplified by applying potential functions. The Laplace transform w.r.t time variable and Fourier transforms w.r.t space variable are employed in the resulting equations. The assumed model has been used to explore the outcome of heat source in the form of a laser pulse decaying with time and moving with constant velocity in one direction. The problem is further examined with normal distributed force and ramp type thermal source. In the transformed domain, the physical field quantities like displacements, stresses, conductive temperature, and thermodynamic temperature are obtained. The resulting expressions are obtained numerically with the numerical inversion technique of the transforms. In simulation, various impacts such as non-local, heat source velocity-time, and HTT are examined and presented in the form of figures. Unique results are also deduced.