A new one-dimensional analysis of long-rod penetration of semi-infinite targets is presented. Models in this field attempt to accurately describe the penetration process of a uniform long rod into a uniform semi-infinite target This one-dimensional analysis predicts profile hole diameters and penetration depths over a wide range of material combinations and extends the previous analyses in this area to include hypervelocity impacts. This approach utilizes values of material dynamic yield strengths, known impact conditions, and the well-established crater volume/kinetic energy relationship to predict crater hole characteristics over an impact velocity range of 1 to 6 km/s. The analysis presented here includes an initial transient phase and modifies previous estimates for pressure on the penetrator tip at steady state. The average pressure at steady state was found to be a constant value over the range of impact velocities for a particular shot combination. The specific value for the average pressure was found to be a direct function of target strength. The resulting equations retain computational simplicity by remaining completely algebraic in nature. Correlation with a majority of the readily available experimental data is given. The results are very reasonable for a one-dimensional model.
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