By modeling of ANSYS and explicit dynamical analysis of LS-DYNA,we simulate the concrete pier columns to lateral impact mass,apply four types of concrete constitutive model on the simulation,such as Johnson Holmquist concrete constitutive model,brittle damage constitutive model,continuous surface cap constitutive model,concrete damage model,etc,and test the accuracy of the simulation calculation by the system energy.The numerical simulation value is compared with the experiment results to further validate the accuracy of the simulation calculation.The concrete constitutive models are compared with prediction accuracy,prediction speed and parameter number.