Hygrothermal creep and stress redistribution analysis of FGMEE rotating disc

The aim of this paper is to analyze the time-dependent stress redistribution of a rotating functionally graded magneto-electro-elastic (FGMEE) disc. The disc issupposed to be placed in an axisymmetric temperature and moisture fields. Besides, the disc is under a centrifugal body force, an induced electric potential inaddition to magnetic potential.Using equilibrium, electrostatic and magnetostatic equations, straindisplacement and stress-strain relations together withhygrothermal equations, a differential equation is obtained in which there are creep strains. Primarily, disregarding the creep strain, an analytical solution forthe initial radial and hoop stresses, electric and magnetic potentials and radial displacement is developed. Then, using prandtl-Reuss relations, ananalytical solution has been derived to obtain creep stress rates and electromagnetic potentials rates in steady state temperature and humidity boundarycondition. Finally, the history of radial and hoop stresses, electric and magnetic potentials and radial displacement is obtained by means of an iterativemethod.

Keywords:

FGMEE , Hygrothermal loading , Timedependent creep , Rotating disc