Creep analysis for a functionally graded cylinder subjected to internal and external pressure

In this paper the creep behaviour of a functionally graded cylinder is considered under both internal and external pressures. When the properties of the graded material are axisymmetric and dependent on the radial coordinate, an asymptotic solution can be derived on the basis of a Taylor expansion series. The approximate solutions calculated from different higher-order terms are compared with the results of finite element (FE) analysis using ABAQUS software. It is shown that, although the use of higher-order terms may help to obtain a more accurate result for the time-dependent behaviour of the cylinder, a fifth-order form has been sufficiently accurate to calculate the creep stress distribution with satisfactory approximation.