Stress analysis of functionally graded thick-walled cylindrical vessels

In this paper, a simple and accurate method is presented to determine deformations and stresses in thick-walled cylindrical vessels made of functionally graded materials under internal pressure and uniform temperature. The governing equation with the consideration of varying Young's modulus and thermal expansion coefficient along the radial direction is derived from the basic equations of axisymmetric plane strain problems in elasticity. The comparison with the corresponding numerical solution indicates that the proposed solution has excellent convergence and accuracy. The effects of the coefficients, which affect Young's modulus and the thermal expansion coefficient, on the deformation and stresses in thick-walled cylindrical vessels are investigated.