Equation of state for extrapolation of high-pressure shock Hugoniot data

Abstract
An empirical equation of state is proposed for accurate extrapolation of high-pressure shock Hugoniot states to other thermodynamic states. The proposed equation of state complements the Mie–Grüneisen equation of state and allows extrapolating a reference state to much different energy states where knowledge of the Grüneisen function is still uncertain. Examples are given of extrapolations of porous Hugoniots from corresponding solid Hugoniot data.