Effect of Plastic Anisotropy on the Collapse Load and the Distribution of Residual Stresses and Strains in a Thin Disk Subject to Thermo-Mechanical Loading

Abstract

Thin plates and disks with holes and embedded inclusions have many structural applications. Existing plane stress solutions for thin plates and disks have shown several qualitative features which are difficult to handle with the use of commercial numerical codes (non-existence of solutions, singular solutions, rapid growth of the plastic zone with a loading parameter). Moreover, elastic- and rigid-plastic solutions at the stage of loading are sensitive to the magnitude of material and process parameters. The distribution of residual stresses and strains after unloading is even more sensitive to these parameters. The present paper provides a semi-analytical solution for plastically anisotropic hollow disk loaded by pressure over its inner radius. The disk is also subject to thermal loading by a uniform temperature field.