The Operational Equations of State, 3: Recovery of the EOS for Hydrocode From the Measured Heat Capacity, Isentrope, and Hugoniot Adiabat

Report No. ARL-TR-6051
Authors: Michael Grinfeld
Date/Pages: July 2012; 24 pages
Abstract: We present several novel explicit formulas for recovery of the complete EOS for hydrocode from experimental data. It is assumed that the substance in question possesses only two thermodynamic degrees of freedom  the specific volume and the specific internal energy E. It is also assumed that the measurements of the heat capacity Cv = C(V,E) at constant volume, of the isentrope Es = Es⊗⊗(V), passing through the state (V,E), and of the Hugoniot adiabat EH = EH∗∗(V) with the initial state (V,E) , are presented in analytical form. No special explicit assumptions are made regarding those functions except their reasonable smoothness (which, however, excludes the possibility of phase transformations).
Distribution: Approved for public release
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Last Update / Reviewed: July 1, 2012