Investigating velocity spectra at the Hugoniot state of shock loaded heterogenous materials

Particle velocity and stress profiles measured in planar impact experiments on heterogeneous materials have shown significant deviations about the idealized final shock state plateau in both experimental and simulated tests. These deviations arise from the scattering of the transmitted shock wave due to the presence of internal interfaces within heterogeneous materials. The goal of this work is to determine if the spectra of oscillatory behavior can be associated to characteristic length scales of the corresponding un-shocked heterogeneous material. Similarities between experimental and simulated particle velocity profiles from planar impacts on dry sand are compared.