AN ANALYTICAL MODEL FOR PENETRATION INTO CYLINDRICAL METALLIC THICK TARGET BY RIGID SHARP-NOSED PROJECTILES

The penetration of thick mental targets with finite planner dimensions by a rigid sharp-nose was investigated in the consideration of the lateral free boundary of the target. Based on the Finite Cylindrical Cavity Expansion (FCCE) theory and the linear strain-hardening material model, analytical solutions of radial pressure on the cavity wall were obtained, and an engineering model for rigid sharp-nosed projectile penetration into cylindrical thick metal targets was presented. The penetration depths from the present model are in a good agreement with those from the published ballistic experiments and numerical simulation. Based on the model, the influence of a target radius on penetration depth and penetration resistance was studied. The results show that the penetration resistance and the penetration depth are obviously affected by the ratio of the target radius to the projectile radius when the ratio is less than 20, they can not be calculated as an unlimited-size target. When the ratio of the target radius to the projectile radius is larger than 20, the target radius has less effects on the penetration depth and penetration resistance, that can be approximately calculated as an unlimited-size target.