A numerical simulation of penetration/perforation process of a concrete slab by a cylindrical steel projectile using the Smoothed Particle Hydrodynamics (SPH) method is studied in the paper. In the simulation, the available hydrocode AUTODYN2D is employed with the improved RHT concrete model, in which a Unified Twin-Shear Strength (UTSS) criterion is adopted in defining the material strength effects, and constructed a dynamic multifold limit/failure surfaces including elastic limit surface, failure surface and residual failure surface. The proposed model is incorporated into the AUTODYN hydrocode via the user defined subroutine function. The results obtained from the numerical simulation are compared with available experimental ones. Good agreement is observed. It demonstrates that the proposed model can be used to predict not only the damage areas and velocity reduction of the projectile during the perforation process but also the debris clouds of spalling process.