The selection and application of the material constitutive model has always been one of the most important factors that restrict the development of the damage simulation of concrete members under dynamic loading. Based on the general finite element software LS-DYNA, a comparison and an analysis hare been made of the basic mechanical behavior of two kinds of commonly-used concrete material models (concrete damage model and continuous surface cap model). The experimental results show that there are significant differences in the basic stress-strain relationship, grid sensitivity and strain rate effect between the concrete damage model and continuous surface cap model. Hence, there should be a strict experimental verification in the process of the finite element analysis of the material model; specifically, in order to eliminate the effects of the grid sensitivity, the same or similar grid size should be used for the analysis of the model validation process and follow-up parameters.