Abstract: The particle mapping algorithm was proposed on the basis of the Particle-in-cell method, and the cumulative damage algorithm of the Eulerian method for brittle materials was studied. The JH-2 constitutive model for ceramic was embedded in the MMIC-2D Eulerian hydrocode for the explosion and impact problems. The tungsten projectile penetration into ceramic composite target was simulated by the MMIC-2D hydrocode, and the dynamic failure process of the ceramic target was obtained. The influences of cover plate and constraint sleeve on the anti-penetration ability were investigated. The numerical results agree well with the experimental ones, which indicate that the algorithm proposed in this paper is effective.