Fractional Thermal Analysis in a Generalized two Dimensional Infinite half Space with Heat Source

Abstract

A generalized time fractional thermoelastic study under one relaxation time consideration is presented here for the two dimensional model having infinite half space. To analyze the thermal response of the problem, the infinite space is subjected to periodical varying heat source with respect to time. Futher, time derivative involved in heat transfer equation is of Caputo type having order  . Certains thermomechanical boundaries are applied at lower surface. Here the solution is obtained directly by employing Laplace and Hankel transformation but inversion for Laplace is evaluated by numerical method as given by Gaver-Stehfast algorithm. Properties of Copper metal is selected for the numerical analysis and results of temperature and stress distributions are presented graphically by using MATLAB software.