A SEMIEMPIRICAL METAL EQUATION-OF-STATE WITHIN A WIDE DENSITY AND TEMPERATURE RANGE
A. T. Sapozhnikov, A. V. Pershina Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1979. Вып.4. С. 47-56.
The paper considers the derivation of a metal equation-of-state for a thermodynamic quantities range, which occurs at shock compression and subsequent unloading. The equation-of-state includes potential, thermal, and "electron” pressure and energy components, with the associated formulae derived from the well known metal behavior models. The equation parameters were defined by the condition providing an optimal representation of thermal physics data involved in static tests and experimental data on the shock compression of solid and porous metals. Hugoniot adiabats for copper, aluminium, lead, and iron, along with their characteristics in evaporabed and liquid states, are calculated. A satisfactory agreement of our predictions with experiment is indicated.
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