Behavior of FGM Spherical Vessels Under Internal Pressure and Temperature Difference

In this paper, FGMs are used as non-uniform materials in high temperature environments. Different industries use them in thin and thick walled spherical pressure vessels. Based on governing equations, differential equation of stresses is obtained in plastic state that can be widely used in the study of reservoirs behavior in elasto-plastic state. The study has discussed on temperature distribution and stress - strain relationships in the tanks under internal pressure and temperature difference. Properties of these materials are considered as variable parameters function of radius. In this work, effects of these parameters have been investigated on yielding, yield temperatures and stress changes in thickness of the vessels. Furthermore, it is shown that vessels structure can be optimized by choosing appropriate parameters.