Analytical solution for rotating cylindrical FGM vessel subjected to thermomechanical loadings

Abstract

In the present work, an exact closed-form analytical solution is derived from the governing equations in order to compute the thermomechanical stress field for a rotating hollow cylinder made of nonhomogeneous materials (functionally graded materials: FGMs) subjected to internal pressure and uniform temperature. We assume a radial variation along the cylinder wall of the thermomechanical properties namely: the Young's modulus and the thermal conductivity. The Poisson’s ratio is assumed constant. In order to provide an exact solution of the displacement and stress fields, the well-known Navier’s equation which is a second order partial differential equation derived from the equilibrium equation was solved. The results obtained reveal the influence of thermal loading, power-law constant and internal pressure on the thermal and mechanical stresses of the nonhomogeneous cylindrical vessel.