The effect of nonhomogeneity and end supports on the thermo elastic behavior of a clamped–clamped FG cylinder under mechanical and thermal loads

Abstract

This paper deals with the thermo elastic analysis of a clamped–clamped functionally graded cylinder under internal pressure. Hamilton principle and first order shear deformation theory (FSDT) are employed for derivation of the principle differential equations. Solution of these differential equations includes the particular and homogenous solutions. Homogenous solution can be obtained by recognizing the imaginary and real roots of characteristic equation. With imposing the natural boundary condition at the end of cylinder and the symmetric condition at the middle of cylinder, the homogenous solution can be analytically obtained. The present paper investigates the distribution of the displacement and the stress for different values of non homogenous index (n). The axial distribution of the axial displacement, radial displacement, shear stress and the axial stress of cylinder can be presented as the important results of this paper. Calculation of the stress concentration factor due to end effects is another result of the present paper. The obtained results can be analyzed for two types of the cylinder with different non homogeneity and temperature distribution.