Abstract

This study concerns the analysis of thermoelastic characteristics of a thin circular functionally graded material (FGM) rotating disk having a concentric hole and subjected to a thermal load. The Young's modulus, coefficient of thermal expansion (CTE), and density of the disk are assumed to vary exponentially in the radial direction only while the Poisson's ratio is assumed to be constant. The incompatible eigenstrain developed in the FGM disk due to nonuniform coefficient of thermal expansion and change in temperature is taken into account. Based on the two-dimensional thermoelastic theories, the axisymmetric problem is reduced to the solution of a second-order ordinary differential equation. Using the variational approach and Ritz method, a finite element model is developed for numerical solution of the problem. The model is verified for a homogeneous circular rotating disk and demonstrated for an Al2O3/Al FGM disk. Some numerical results of thermoelastic field in the Al2O3/Al FGM disk are presented and discussed. It is found that the thermoelastic characteristics of an FGM disk are largely dependent on temperature distribution profile, radial thickness of the disk, angular speed of the disk, and the inner and outer surface temperature difference, and can be controlled by controlling these parameters.

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