Thermoelastic field analysis using differential transform under Moore-Gibson-thompson theory

Heat conduction has many applications in engineering fields. There are various heat conduction models have been studied in the last few years. The main objective of this research is to study the effect of MGT model on thermoelastic problem. Also, offer a strong tool-the DifferentialTransform Method- for solving the governing partial differential equations with a simpler computation load than existing approaches. This paper presents the mathematical model describing the MooreGibsonThompson (MGT) equation in rectangular plate. This MGT equation is modified into the heat conduction in the rectangular plate. Thermoelastic phenomena play a significant role in heat conduction, particularly in materials that experience both thermal and mechanical stresses. Thus the thermoelastic properties of rectangular plates were also studied using the two-dimensional mathematical model under MGT heat conduction. Goodier's function and Boussinesq harmonic functions techniques have been used to obtain the thermal stresses in rectangular plates. The results have been discussed using graphs drawn by the mathematical software MATLAB.