Abstract
Some thermodynamic relations are derived along the principal Hugoniot of materials for which the Gruneisen relation is a function of volume only. Rather than being expressed in terms of traditional thermodynamic variables, such as volume and temperature, the relations are expressed in terms of the shock-Hugoniot behavior and of a term grouping that is related to the Gruneisen function. By so doing, a new perspective is gained on the interrelation of thermodynamic quantities along the Hugoniot, which may be of use in developing analytical equations of state.
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