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In this paper, we propose an analytical method to predict projectile penetration and perforation based on the Differential Area Force Law (DAFL) and semiempirical resistance function. Due to the free surface effect, in order to account for the differences of the target resistances acting on the top and bottom sides of the projectile, we obtain the theoretic solutions of a dynamically expanding spherical cavity in a finite sphere of incompressible Mohr-Coulomb target material. The proposed methodology is implemented in ABAQUS explicit solver via the user subroutine. The numerical predictions are in good agreement with the normal and oblique penetration/perforation tests data.

Predictions of projectile penetration and perforation by DAFL with the free surface effect