Static and time-dependent creep behavior of a functionally graded magneto-electro-elastic rotating disc in thermal environment

In this article, an analytical solution for the problem of time-dependent creep analysis of a functionally graded magneto-electro-elastic rotating disc is presented. The material properties are considered to be power function of radius through radial direction. Firstly, using the stress-strain relation and strain-displacement relation together with equilibrium equation and thermal equation in plane-stress condition, a differential equation containing creep strains is found. Then, eliminating creep strains, an analytical solution for the mentioned differential equation is obtained which is actually the response in time zero. Then, considering fixed temperature boundary conditions, creep strains are kept and creep stress rates are found by an analytical solution of the obtained differential equation. Lastly, the radial stress, hoop stress, radial displacement, electric potential and magnetic potential can be calculated using an iterative method in every desired time. In the numerical examples, the effects of creep evolution, temperature boundary conditions and speed of rotation are investigated comprehensively.