Elastoplastic Analysis of Rotating Disk of Variable Thickness Made of Functionally Graded Materials

This paper is dealing with the Elastoplastic analysis of rotating disks of variable thickness made of functionally graded materials based on Tresca's yield criterion. To do so, the governing equations of rotating annular disks are established based on the elasticity theory. Then, using Tresca's yield criterion and the elastic-perfectly plastic flow law, the displacement equations and stresses are obtained in the plastic region. In order to find the effects of the shape of the disk profile on its stress distribution, the thickness of the disk cross-section is supposed to vary as an exponential function of the radius. In addition, considering different places at which the yielding starts, the process of expanding the plastic flow is investigated. The obtained results are validated against those reported for homogeneous as well as constant thickness FGM disks, showing good agreement. The findings also demonstrate that taking the variable thickness for the disk cross-section into account has a significant effect on the stress distribution and prediction of the place where the yielding initiate.