A Semi-analytical Solution for Time-variant Thermoelastic Creep Analysis of Functionally Graded Rotating Disks with Variable Thickness and Properties

A time domain semi-analytical solution to study thermo-elastic creep behaviour of functionally graded rotating axi-symmetric disks with variable thickness is presented. The rate type governing differential equations for the considered structure are derived and analytically solved. To solve these equations, the disk is divided into virtual sub-domains. General solution of equilibrium equations in each sub-domain can be obtained by imposing the continuity conditions at the interface of the adjacent sub-domains together with global conditions. Finally, the solution in terms of rate of stress and strain is obtained. The advantage of the present work is to avoid simplifications and restrictions, which are normally associated with other creep solution techniques in the literature. Results for the stress and strain rates of the disk subjected to centrifugal forces and thermal loadings for different boundary conditions are presented. Results obtained are verified with those available in the literature for easier cases.