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Fundamental Property of the Solid Equation of State Infered from Shock Waves Physics

Published online by Cambridge University Press:  01 February 2011

Francis Chaissé  and
Olivier Heuzé
Francis Chaissé
Affiliation:
CEA/DIF, B.P. 12, 91680 Bruyères-Le-Chatel, FRANCE e-mail: olivier.heuze@cea.fr
Olivier Heuzé
Affiliation:
CEA/DIF, B.P. 12, 91680 Bruyères-Le-Chatel, FRANCE e-mail: olivier.heuze@cea.fr
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Abstract

In this study, the linear shock velocity (U) versus particle velocity (u), which is well suited for describing the Hugoniot curve of metals, is revisited from a thermodynamical point of view. In this way, it is possible to set-up a theoretical relation between the Grüneisen coefficient and the isentrope derivatives to third order at the initial state before jump, ensuring the linear U(u) relationship. When applied to the classical Morse potential describing the Equation of State (EoS) in the Mie-Grüneisen form, the theoretical result is in a good acceptance with the shock experimental results carried out on copper.

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