An investigation of one-dimensional penetration modeling

In this dissertation, three new analytical models are developed by modifying the one-dimensional long-rod penetration theories proposed by Jones, Gillis, and Foster in 1987 and then by Cinnamon, Jones, House, and Wilson in 1992. In the first model, a so-called impulse factor is introduced to account for a more accurate impulse-momentum relationship. This factor can be correlated to the ratio of the dynamic yield strengths of the rod to target. With this factor, the transient analysis gives more accurate predictions for the mushroom strain, which leads in turn to more accurate estimates for penetration depth, when a linear crater volume/kinetic energy relationship is applied.; In the second model, a new pressure law is proposed to replace the modified Bernoulli equation of Tate. By assuming that the rod/target interface pressure is approximately constant during the quasi-steady state, the governing equations can be analytically integrated to give a closed form solution for the penetration depth. The prediction is reasonably good in the high velocity regime.; In the third model, a velocity-dependent interface pressure is added. A so-called shape factor, which was first introduced without physical interpretation by Alekseevskii in 1966, is substantiated. With this factor, the governing equations can be numerically integrated to give very accurate predictions for the impact velocity range from 1 km/sec to 6 km/sec.