Schmidt-Ishlinskii Yield Criterion and a Rotating Cylinder with a Rigid Inclusion

An elastoplastic rotating cylinder with a rigid inclusion and fixed ends is investigated. The analysis is based on infinitesimal strain theory, Schmidt-Ishlinskii yield criterion, and its associated flow rule and perfectly plastic material behavior. Both loading and unloading stages are studied. The closed-formed solutions for all stages of deformation including secondary plastic flow are obtained. The results are illustrated by the distributions of the stresses and plastic strains in a cylinder rotating at different speeds.