Thermal stresses in a cylindrically curved FGM beam

In this study, the stress analysis of the cylindrically curved beam, which is functionally graded for thermal load in radial direction, has been analytically analyzed. The temperature distribution varies steadily state as a function of the radial coordinate. The beam is assumed to be in the plane strain state. The elasticity modulus of the functionally graded beam is assumed to vary with the power law in relation to the thickness of the beam. In addition, the effect of the vary in the power law parameter and with the general mixture law, all material properties of the beam  (modulus of elasticity, density, thermal expansion coefficient, thermal conductivity coefficient and yield stress) except for Poisson's ratio change in radial direction. Thus, all material properties of the beam vary depending on the power law. Beam; stresses under positive, negative and homogeneous temperatures were examined. Stress analysis is considered according to Von Mises yield criterion.