Abstract
Abstract In this Paper transient thermo-elastic analysis of a thick hollow finite length cylinder made of two dimensional functionally graded materials (2D- FGMs) has been investigated. The transient heat conduction and the thermo-elastic equations have been solved for the cylinder subjected to thermal loading utilizing finite element method. The higher order Lagrange shape function elements have been used to improve the accuracy of the temperature and thermal stress distribution in the axisymmetric thermo-elastic analysis. In addition, a new effective material model according to the Mori-Tanaka scheme for 2D- FGM has been developed and implemented. The nonlinear temperature-dependency of material properties as well as their variation along two directions led into highly nonlinear equations. In consequence, the temperatures and stresses have been evaluated in the different time frames and the effects of the material distributions in two radial and axial directions have been investigated. The results mainly indicate that the variation of the material distribution along the axial direction significantly influence the temperature and stress distributions. Also the material distribution along the z-direction increases the design variables, so it will be helpful to achieve more desirable results.
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