The effect of parameters of dynamic loading on the propagation character of shock waves in a powder

Based on the previously introduced mathematical model of the dynamic compaction of a powder material, the effect of the initial velocity of a tool and the ratio of its weight to the blank weight, which varies in a range of 10(2)-10(4), on the shock velocity in the powder is considered using a titanium sponge as an example. According to the model, nonreversible volume changes in the material, which occur under the shock action, are considered on the basis of general conservation equations of mass, linear momentum, and energy, which are written for the discontinuity surface. It is shown that, in the investigated range of parameters of dynamic loading, the relationship between the velocities of the shock wave front and the tool can be approximated by a linear dependence. The pressure at the shock wave front and the shock pulse time are determined.