Open Access

ARTICLE

The Study of Thermal Stresses of a Two Phase FGM Hollow Sphere

by Baoyu Ma¹, Guansuo Dui¹, Shengyou Yang², Libiao Xin¹

1 Institute of Mechanics, Beijing Jiaotong University, 100044, Beijing, P.R. China.
2 Department of Mechanical Engineering, University of Houston, Houston, TX 77204, USA.

Computer Modeling in Engineering & Sciences 2015, 109-110(6), 537-554. https://doi.org/10.3970/cmes.2015.109.537

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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Keywords

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