In this paper, an analytical method is presented to investigate time history analysis of stresses in a functionally graded thick hollow cylinder under thermal shock loading. Mechanical properties of FG thick hollow cylinder are assumed to be temperature independent and vary continuously in the radial direction. Constitutive equation of motion is derived for FG cylinder with infinite length and axisymmetry condition. The governing equations and boundary conditions are transferred to Laplace domain and analytically solved using series solution technique. To study the dynamic behavior of stresses, the obtained results in Laplace domain are transferred to time domain employing inverse Laplace transform technique. The time histories of thermo-mechanical stresses are studied and discussed for various grading patterns of mechanical properties across thickness of FG cylinder. Also, the thermo-mechanical stresses are presented in closed form for a functionally graded thick hollow cylinder subjected to thermal shock loading. The presented results show good agreement with published data in previous literatures.

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