A Numerical Analysis of Cyclic Stress-Strain Response in Circumferentially Notched Components of Annealed Copper under Load-Controlled Condition

Cyclic stress-strain responses of annealed copper were numerically calculated in the minimum cross section of cylindrical notched components under axial load-controlled condition using elastic-plastic finite element method. The constitutive equation was developed for analyzing cyclic deformation by modifying the Johnston-Gilman's equation, which is derived from the concept of dislocation dynamics. The cyclic load-diametral displacement response of the notched component was in quite good agreement with the test result. The stress-strain response at a given position in the minimum cross section was calculated, which exhibited characteristic cyclic hardening. Then residual stress, mean stress, mean strain, and cyclic hardening behavior were successfully evaluated in the minimum cross section.