Continuous Surface Cap Model (CSCM) and Karagozian & Case Concrete Model (K&C) in LS-DYNA were selected as candidate models and were evaluated and compared with experimental results. Simulation results showed that both models overall can predict the behavior of plain concrete, in both quasi-static and low-velocity impact tests. However, the responses of these models to compression, shear, or flexural stress were different. Compressive strength as the critical property of plain concrete was well matched by both models, while the post-failure behavior of the models was different. The acceleration-time curve in the low-velocity impact test also showed that the K&C model can predict the maximum positive and negative acceleration more accurately than CSCM, while the CSCM element erosion capability resulted in a deformation contour closer to reality.