摘要

The existing Gruneisen coefficient gamma expressions and the experimental data fitting relations consider only the gamma data fitting, rather than the change rule of gamma. In this paper, the universal function of Gruneisen gamma is established according to the property of Gruneisen gamma function and the high pressure characteristics of thermodynamic gamma, such as gamma changing quickly at low pressure but slowly at high pressure. This universal function is substituted into the thermodynamic function gamma (v; T) to obtain the isentropic temperature T-s (v), and then the Hugoniot temperature is deduced by using the relationship between isentropic temperature and Hugoniot temperature,thus Hugoniot equation becomes the complete equation of state. All the thermodynamic state variables can be calculated by the thermodynamic relations. The universal function of Gruneisen gamma is applied to several metals, such as Al, Ta and Cu, and the Hugoniot equation is deduced according to the isothermal equation, or the isothermal equation is calculated by the Hugoniot equation. The results are in good agreement with experimental data. There are good compatibility between the universal Gruneisen gamma and the heat capacity C-v. It is shown that the proposed universal function of Gruneisen gamma can reasonably describe the thermodynamic properties of many metals at high pressure and high temperature.

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