The Study of Thermal Stresses of a Two Phase FGM Hollow Sphere
Baoyu Ma, Guansuo Dui, Shengyou Yang and Libiao Xin

doi:10.3970/cmes.2015.109.537
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 109, No. 6, pp. 537-554, 2015
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Keywords FGM hollow sphere, uniform heating, thermal stress, effective coefficient of thermal expansion.
Abstract

This article focuses on the analytical solution for uniform heating of a FGM hollow sphere made of two phase of different materials. It is assumed that the volume fraction of one phase is a function f1=(rn-an)/(bn-an) varied in the radial direction. Based on the Voigt constant strain approximation, analytical solutions of stresses, displacements and the effective coefficient of thermal expansion are obtained. The effects of the volume fraction, Poisson’s ratio, Young’s moduli and coefficients of thermal expansion on the solutions are studied. Two special cases, constant elastic modulus and constant coefficient of thermal expansion, are finally discussed.

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