Heat conduction investigation of the functionally graded materials plates with variable gradient parameters under exponential heat source load

Abstract This paper adopted the hybrid numerical method to research the heat conduction of functionally graded materials plates (FGM plates) with variable gradient parameters under the exponential heat source load. Based on the heat balance equation, hybrid numerical method theory was established through the method of weighted residual, which considering the convective heat transfer boundary condition. Then Fourier transform and inversely Fourier transform were applied to the equation and obtained the temperature distribution of the FGM plates with variable gradient parameters. The results show that the different position temperature changing is consistent with heat source. The influence of the heat source in model is only partial, the distribution of the temperature is gradually reducing with the distance away from the heat source, and it tends to zero in infinite distance position. The change of the gradient parameter in a certain range has a great influence on the heat conduction, when the gradient parameters are maximization and minimization, the heat conduction becomes the heat conduction process of pure materials.

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