Numerical creep analysis of FGM rotating disc with GDQ method

Rotating discs are the vital part of many kinds of machineries. Usually, they are operating
at relatively high angular velocity and temperature conditions. Accordingly, in practice, the
creep analysis is an essential necessity in the study of rotating discs. In this paper, the time
dependent creep analysis of a thin Functionally Graded Material (FGM) rotating disc
investigated using the Generalized Differential Quadrature (GDQ) method. Creep is described
with Sherby’s constitutive model. Secondary creep governing equations are derived and
solved for a disc with two various boundary conditions and with linear distribution of SiC
particles in pure Aluminum matrix. Since the creep rates are a function of stresses, time
and temperature, there is not a closed form solution to these equations. Using a solution
algorithm and the GDQ method, a solution procedure for these nonlinear equations is presented.
Comparison of the results with other existing creep studies in literature reveals the
robustness, precision and high efficiency beside rapid convergence of the present approach.