Analysis of the dynamic radial compaction of granular media

The previously developed continual approximation is used to analyze the radial axisymmetric compaction of a granular medium in the presence of a rigid undeformable rod on the symmetry axis. It is shown that, during pulsed loading, high densities close to those corresponding to the nonporous state can be attained due to inertia effects. The influence of the initial radial dimensions of the rod-powder-medium system on the compaction process is analyzed. The problem is found to be scale invariant under various constraints imposed on the ratio of the characteristic dimensions.