Elastoplastic deformations of a rotating hollow cylinder with a rigid casing under maximum reduced stress yield criterion

Deformation of a hollow cylinder with fixed ends and rigid casing due to centrifugal forces arising from its rotation around the central axis is investigated. This problem is solved in the frame of the classical theory of small strain. Stresses are associated with elastic strains by Hooke's law. The maximum reduced stress yield criterion in conjunction with its associated flow rule is used to describe plastic behavior. Both loading (with increasing angular velocity) and unloading (with decreasing angular velocity) 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 at different values of the angular velocity. Dependence between the angular velocities at loading and unloading stages at which plastic flows appear is discovered.