Thermodynamic response of Mie-Grüneisen materials at high pressures

Abstract

Expressions are derived to give entropy and temperature in a material which obeys the Mie-Gruneisen equation, based on the assumption that both the Hugoniot pressure and the Gruneisen parameter may be expanded as infinite power series in strain. The resulting equations are used to obtain specific expressions for isothermal compression and for isentropic release from a Hugoniot state. A method is suggested for determining the Gruneisen parameter (as a function of strain) from isothermal compression data. Certain limitations involving possible phase transitions are pointed out.