Investigating Velocity Spectra at the Hugoniot State of Shock Loaded Heterogeneous Materials

Hugoniot states achieved in heterogeneous materials have shown oscillations in particle velocity about an averaged state for both experimental and simulated data. These oscillations 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 different types of shock-loaded materials are compared such as sand, concrete, aluminum foam, and layered composites.