Pressure derivatives of bulk modulus for materials at extreme compression

摘要

The method based on the calculus of indeterminates for demonstrating that all the physically acceptable equations of state satisfy the identities for the pressure derivatives of bulk modulus of materials at extreme compression, has been developed. The specific examples of the Birch-Murnaghan finite strain equation, the Poirier-Tarantola logarithmic equation, the Rydberg-Vinet potential energy equation, the Keane K-primed equation and the Stacey reciprocal K-primed equation, have been considered. Expressions for the bulk modulus and its pressure derivatives have been derived and reduced to the limit of infinite pressure. The expressions thus obtained are useful for further analysis of higher derivative thermoelastic properties.