In this article, a stress-based model is proposed to investigate the strength evolution during severe plastic deformation (SPD) or large strains. In this model, the work hardening mechanisms are described by Frank-Read sources, while the cross-slip and climb processes are considered as the mechanisms for work softening phenomenon. Within all SPD processes, one of corrugation processes such as constrained groove pressing is chosen to assess the validity of the model predictions. The model predictions are in agreement with the earlier reports and the experimental results achieved in this study.