Design of an annular plastically anisotropic disk subject to thermomechanical loading

An analytic solution for the initiation of plastic yielding in a thin annular hyperbolic disk subject to thermomechanical loading is presented. It is assumed that the yield criterion is orthotropic. The principal axes of anisotropy coincide with the radial, circumferential, and axial directions. Two loading parameters control the process of deformation. One of these parameters is uniform pressure over the inner radius of the disk, and the other is temperature. The general qualitative structure of the solution at the initiation of plastic yielding is discussed in detail. It is shown that a plastic region may initiate at the inner or outer radii. Moreover, two plastic regions may initiate at the inner or outer radii simultaneously. Illustrative calculations deal with four materials whose properties are available in the literature.