Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain

Abstract

In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work.

Keywords

• hyperbolic heat conduction
• thermal stresses
• thermal displacement
• rectangular plate
• reduced differential transform