This work studies transient thermal stresses in a Alumina - Aluminum FG Cylinders using analytical method. The material properties are considered to be nonlinear with a power law distribution through the thickness. The cylinder is assumed to be in plane-strain condition and has infinite length. The displacement and stresses distributions are obtained by analytical solution of the Navier governing differential equations. The transient dynamic behavior of thermal stresses are specified and discussed for various power law exponents in mechanical properties function. The temperature distribution in the functionally graded thick hollow cylinder across the thickness was analytically determined in the prior experience of authors [1]. By using the presented analytical solution for heat transfer equation in FGM [1], the radial and hoop stresses and the radial displacement are analytically determined by using Bessel functions. The comparisons in thermal stresses are presented and compared for various kind of functionally graded material in different times.

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