The Operational Equations of State, 3: Recovery of the EOS for Hydrocode From the Measured Heat Capacity, Isentrope, and Hugoniot Adiabat
Final rept. 1 Sep 2011-1 May 2012
ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD WEAPONS AND MATERIALS RESEARCH DIRECTORATE
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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 V the specific volume V and the specific internal energy E . It is also assumed that the measurements of the heat capacity Cv CV,E at constant volume, of the isentrope Es Ecircle multiplys V, passing through the state V circle multiply, E circle multiply, 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.