A New Thermodynamic Model for the Shock Compression Behavior Prediction for Porous Materials

Assuming that the specific heat at constant pressure cP is simply dependent on the pressure or remains constant, a new thermodynamic equation of state (EOS) is derived in this paper, which is very useful for the EOS studies, particularly in isobaric plane. Combining with Rankine-Hugoniot relations, our new EOS can be used to deduce the relation between porous Hugoniot and the solid one. Consequently, once the solid Hugoniot is known, this model can predict the Hugoniot behavior of materials with different initial porosities. In order to verify the validity of this model calculations are carried out for porous 2024 aluminum, copper and tungsten with different initial densities. Comparison with the corresponding experimental data demonstrates that this model has high accuracy in prediction of Hugoniots for porous materials in a wide pressure range.