Abstract
The plastic deformation within a yield surface has to be described to simulate mechanical fatigue phenomena under macroscopically elastic condition. In this study, a phenomenological plasticity model is proposed for the description of the cyclic softening behavior observed for some carbon steels during so-called the high-cycle fatigue subjected to stresses lower than the yield stress. The model is formulated based on the unconventional plasticity model and is applied for materials obeying isotropic and kinematic hardening law. The mechanical responses and capability for evaluating the initiation life until fatigue cracking are examined briefly.