Material Distribution Design of Functionally Graded Hollow Cylinder under Transient Thermal Loading for Heat Resisting

One of the engineers concern in designing structures under multi-functional requirements such as high temperature and enormous mechanical loads is the uniformity of stress distribution and the time response of structure. In this paper a thick hollow cylinder with finite length made of two dimensional functionally graded material (2D-FGM) subjected to transient thermal loading is considered. The volume fraction distribution of materials, geometry and thermal load are assumed to be axisymmetric but not uniform along the axial direction. Finite element method with graded material properties within each element is used to model the structure and Crank-Nicolson finite difference method is implemented to solve time dependent equations of heat transfer problem. Variation of temperature and components of stress with time, temperature and stress distribution through the cylinder are investigated. Also effects of variation of material distribution in two radial and axial directions on the temperature distribution, stress distribution and time responses are studied. The achieved results show that using two-dimensional FGM leads to a more flexible design so that time responses of structure, maximum amplitude of stresses and uniformity of temperature and stress distributions can be modified to a required manner by selecting a suitable material distribution profile in two directions.

Keywords:

Functionally Graded Materials , Two Dimension , Finite Length Cylinder , Transient Thermal Loading , Thermal Stress