On the linearly hardening rotating solid shaft

Analytical solutions are obtained for elastic–plastic deformations of a linearly hardening rotating solid shaft with fixed ends and with free ends. All stages of elastic–plastic deformations are studied using Trescaʹs yield condition and the flow rule associated with it. Expressions for the stresses, displacement and plastic strains for a perfectly plastic shaft can be deduced from the expressions of linearly hardening shaft by letting the hardening parameter vanish.