ANALYSIS OF A FUNCTIONALLY GRADED THICK CYLINDRICAL VESSEL WITH RADIALLY VARYING PROPERTIES

This work aims at the determination of stresses from the general analytical solution of a functionally graded thick cylindrical vessel with the consideration that the properties of the material i.e. modulus of elasticity, thermal expansion coefficient and thermal conductivity, vary with the power-law of radius and Poisson’s ratioremains constant. On the basis of the third kind thermal boundary conditions with steady-state unidirectional radial heat conduction and general mechanical boundary conditions, it is shown that the equilibrium equation reduces to Navier equation. A study of the Tresca yield criterion is made to check for yielding.