Penetration of rigid objects into semi-infinite compressible solids

Penetration of rigid object into semi-infinite compressible solid is investigated in the present study. First a detailed numerical analysis of the penetration process is performed via smooth particle hydrodynamics. Based on the numerical results, estimate for the resistive force that the target exerts on the penetrating object is obtained. It is shown that in the computation of the resistive force the quasi-static coefficient can accurately be obtained through the spherical cavity expansion theory. However for a given target material the coefficient associated with the hydro-dynamic term significantly depends on the impact velocity unlike commonly assumed constant values. Penetration equations for rigid object with arbitrary nose geometries are derived. Developed analytical model is then verified through some experimental and analytical results reported in the literature.

► Numerical simulation of penetration process via acceleration corrected SPH.
► Investigation of accuracy of quasi-static and hydro-dynamic term based on numerical results.
► Estimate of hydro-dynamic coefficient as a function of impact velocity for different aluminum target.
► Improvement in the analytical prediction.