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- Title
Application of the Reverberation-Ray Matrix to the Non-Fourier Heat Conduction in Functionally Graded Materials.
- Authors
Zhou, Feng-xi
- Abstract
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.
- Subjects
FUNCTIONALLY gradient materials; HEAT conduction; MECHANICAL loads; THICKNESS measurement; MATHEMATICAL functions
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2016, Vol 71, Issue 2, p113
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2015-0345