Elastic analysis of rotating functionally graded polar orthotropic disks

This paper investigates an elastic problem of rotating functionally graded hollow polar orthotropic circular disks. Emphasis is placed on the influence of orthotropy and gradient on the elastic field in particular the hoop stress distribution in hollow annular plates rotating at constant angular speed about its axis. For the gradient of power-law profile, we obtain explicit expressions for the elastic field. For arbitrarily variable gradient, we present a method for transforming the problem into solving a Fredholm integral equation. Numerical results are presented for two particular cases: free boundaries and clamped-free boundaries. A comparison of numerical results with exact ones for power-law material properties is made, indicating the effectiveness of our proposed method. For material properties varying in any way according to the Voigt rule, numerical results are presented to show the effects of gradient parameter and orthotropy degree on the distribution of elastic field.