Perturbation solution of rotating solid disks with nonlinear strain-hardening

In order to determine the stresses and displacement in rotating disks with nonlinear strain-hardening, a polynomial stress-plastic strain relation is proposed and dimensionless quantities are adopted. A dimensionless governing equation for rotating disks is derived from the deformation theory of plasticity, Von Mises' yield criterion, proposed stress-plastic strain relation, equilibrium and compatibility equations. Its perturbation solution is obtained and applied to compute a rotating solid disk with nonlinear strain-hardening. The results are compared with those from the finite element calculation and other existing approaches, which confirms the validity of the method presented in this paper.