Application of the Reverberation-Ray Matrix to the Non-Fourier Heat Conduction in Functionally Graded Materials

作者：Zhou, Feng-xi^*

来源：Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2016, 71(2): 113-119.

DOI：10.1515/zna-2015-0345

• Functionally Graded Materials
• Non-Fourier Heat Conduction
• Periodic Thermal Oscillation
• Reverberation-Ray Matrix

The method of the reverberation-ray matrix has been developed and successfully applied to analyse the wave propagation in a multibranched framed structure or in a layered medium. However, the method is confined to the case of mechanical loads applied at the medium until now. This paper aims to extend the formulation of the reverberation-ray matrix to cases of thermal propagation and diffusion. The thermal response in functionally graded materials (FGM) with the non-Fourier heat conduction model is analysed. In the present work, it is assumed that the material properties of an FG plate vary only in the thickness direction by following the power law function. The effect of non-Fourier and material inhomogeneity in the plate subjected to a periodic thermal disturbance is investigated. The present approach is validated by comparing it with the solutions obtained by other methods.

• 出版日期2016-2
• 单位兰州理工大学