A spherical cavity-expansion model for penetration of high velocity projectile into concrete target

The constitutive relation of concrete materials is described using the equation of state for porous materials and Mohr-Coulomb yield criterion with tension cutoff and shear saturation. The dynamic response of spherical cavity expansion for concrete materials is divided into four regions: elastic, cracked, un-shear saturation compacted and shear saturation compacted. The dynamic response expression of spherical cavity expansion is derived by self-similar methods, a spherical cavity-expansion model for theoretical analysis of high velocity projectile penetration is put forward, and then a spherical cavity-expansion penetration model for high velocity projectiles is proposed. The result shows that the predicted results from the high velocity projectile penetration model are in reasonable agreement with the experimental and numerical simulation results.