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A computational procedure for estimating residual stresses and secondary plastic flow limits in nonlinearly strain hardening rotating shafts

A computational procedure to estimate the residual stress distributions and the limit angular speeds for avoiding secondary plastic deformation in nonlinearly strain hardening rotating elastic-plastic shafts is given. The model is based on von Mises yield condition, J(2) deformation theory and a Swift-type hardening law. The boundary value problem for the governing nonlinear differential equation is solved by a shooting method using Newton iterations with numerically approximated tangent. Solid as well as hollow cylinders are discussed and both fixed and free ends are taken into account.