Empirical Model of Plane Shock Wave on the Impact Surfaceof Target Based on Dimensional Analysis

When the equation of state (EOS) and physical parameters of the projectile and the target plate materials are unknown, it is impossible to estimate accurately the peak value and the pulse width of the shock wave pressure on the impacting surface based on the existing theoretical models.To solve this problem, using the dimensional analysis, we studied the factors influencing the peak value and the pulse width of the shock wave pressure, and established an empirical model of the peak value, and that of the pulse width of the shock wave pressure respectively, with a clear physical meaning specified for each component in the formulas.This kind of model successfully avoided the problem of unknown EOS of the projectile and target materials.The obtained formulas can be used to predict the peak value and the pulse width of the shock wave pressure.We applied this model to an actual experiment of 45 steel impacting on a Ni plate, and found that the peak values and the pulse widths of the shock wave pressure calculated by this model match well with the measured results, which proves the feasibility of our model.