Abstract: The elastic-plastic code that can be used to analysize the process of the projectile impacting concrete target with high velocity has been prepared by combination of FEM with SPH algorithm. The sliding surface algorithm with artificial transportation of momentum is proposed. The computational examples show that the penetrating processes with the elastic-plastic projectile analysis are different from that with the rigid projectile analysis. There is a critical velocity especially for the shell warhead and if the impact velocity is over the critical value the warhead will be deformed and damaged seriously, and its penetrating depth can not increase effectively with the increment of the impact velocity. The computations also show that the rate of damage evolving in the damage area of the projectile is related to the impact velocity and it is picked up with the increment of the impact velocity.