Heat conduction investigation of functionally graded material plates under the exponential heat source load

This paper adopts the hybrid numerical method to research the heat conduction of the functionally graded materials (FGM) plates under the exponential heat source load. Based on the heat balance equation, the hybrid numerical method theory is established through the method of weighted residuals. Then inversely Fourier transformed equation is applied to get the temperature distribution of FGM plates. And the temperature variation law at different positions is obtained in the loading time. The results show that at different positions temperature changing was consistent with heat source and gradually reduced with the distance away from the heat source. The heat transfer efficiency is related to the material performance of the surface.