Abstract: In order to describe the adiabatic shearing localization of the projectile that impacts to concrete, the model of adiabatic shearing localization for projectile that impacts to concrete was proposed according to the results of one-dimensional analysis and it was incorporated in the numerical calculations. To describe the nonlinear deformation and fracture characteristics of the concrete and to keep the projectile-concrete interface clearness, the concrete was divided into smooth particles and computed by SPH method but the projectile was divided into finite elements and computed by finite element method. It is shown that the domains of adiabatic shearing localization in the projectile from the computations using the presented model are in agreement with the experimental results.