Creep analysis in a rotating variable thickness functionally graded disc with convection heat transfer and heat source

The time-dependent creep behavior of a rotating disc composed of functionally graded material (FGM) with varying thickness was analyzed. The convection heat transfer along with internal heat generation was considered in thermoelastic analysis. The material properties were assumed to change radially as a power-law function. Also, the heat convection and heat conduction coefficients were taken as functions of temperature and radius. The nonlinear heat transfer equation was solved using the differential transformation method (DTM). Then, the equilibrium equation considering creep strains was derived. The derived differential equation was solved analytically for zero time. Considering the creep strains, the stress and strain rates were determined using Norton's law with Prandtl-Reuss equations for steady-state thermal boundary conditions. Finally, the time-dependent creep stress redistributions at any time were evaluated using an iterative method. The effects of the heat source, convection heat transfer, temperature dependency, inhomogeneity index, and angular velocity on the behavior of the disc were explored in numerical examples.