The slide movement pattern of traditional mechanical presses is relatively fixed, and quasi-static stamping simulations usually ignore the effect of strain rate. In contrast, servo presses feature a flexible slide stroke and adjustable stamping speed; thus, a material constitutive model that includes the strain rate effect is necessary to achieve accurate servo stamping simulations. To address the limitation of obtaining the stress-strain curves at only a finite number of strain rates through tensile tests, this paper analyzed and evaluated the strain rate-sensitive models, including the power law model, linear power law model, Johnson-Cook model and Cowper-Symonds model, using DDQ steel test data for model fitting as an example. Curve fitting is performed for segmented strain range and grouped strain rates, the parameter identification methods in each model are constructed and the applicability of each model in finite element software is discussed. The results provide guidance for selecting an appropriate constitutive model for servo stamping simulations.