Plastic stretching within a yield surface has to be considered to describe cyclic plasticity phenomena. An elastoplastic constitutive model incorporating subloading surface concept has been proposed for materials exhibiting not only a purely elastic response under a particular lower state of stress but also a damage evolution. In this study, the model is extended to describe cyclic plasticity phenomena, such as ratcheting and fatigue crack nucleation triggered by the accumulated plastic strain/work, under macroscopically elastic condition. The applicability of the model is verified through the comparison with the experimental data for SN490B. It is also discussed about S-N curve obtained by the proposed model and the fatigue crack nucleation.