Transient and Dynamic Stress Analysis of Functionally Graded Thick Hollow Cylinder Subjected to Thermal Shock Loading Using an Analytical Method

Abstract

In this paper, an analytical method is presented to investigate dynamic characteristics in a functionally graded thick hollow cylinder under thermal shock loading. Thermo-mechanical properties of functionally graded (FG) thick hollow cylinder are assumed to be temperature independent and vary continuously in the radial direction. Dynamic thermo-elastic equation of the problem is analytically solved by employing the Laplace transform and series solution. The dynamic thermo-elastic stresses in a functionally graded thick hollow cylinder subjected to axisymmetric thermal shock loading are obtained and presented in closed forms at Laplace domain. The results are obtained in time domain using the fast Laplace inverse transform method. The dynamic behaviors of thermo-elastic stresses are illustrated and discussed for various grading patterns of thermo-mechanical properties in several points across the thickness of FG cylinder and cylinder thickness parameter. The presented analytical method furnishes a ground to study the time histories of radial and hoop stresses in FG cylinders with different thickness and various exponents of volume fraction. The presented results show good agreement with published data in previous literatures.