General form of the Mie–Grüneisen equation of state

Olivier Heuzé

doi:10.1016/j.crme.2012.10.044

General form of the Mie–Grüneisen equation of state

Olivier Heuzé ¹

¹ CEA, DAM, DIF, 91297 Arpajon, France

Comptes Rendus. Mécanique, Volume 340 (2012) no. 10, pp. 679-687.

Abstract
Résumé

The Mie–Grüneisen equation of state is defined in an incomplete form $P (V, E)$ which does not allow access to temperature and entropy. We show here how we can extend it to a complete equation of state in the $S (V, E)$ form by providing an additional independent function which defines the heat capacity variations and then gives access to all the thermodynamic properties.

Lʼéquation dʼétat de Mie–Grüneisen est définie par la formulation incomplète $P (V, E)$ qui ne permet pas dʼaccéder à la température et à lʼentropie. Nous présentons ici son extension dans le cas général $S (V, E)$ , en fournissant une fonction indépendante qui définit les variations de la chaleur spécifique, et permet ainsi lʼaccès à toutes les grandeurs thermodynamiques.

Received: 2012-03-20
Accepted: 2012-10-31
Published online: 2012-10-01

DOI: 10.1016/j.crme.2012.10.044

Keywords: Material engineering, Equation of state, Thermodynamic equilibrium, Mie–Grüneisen, Shock wave, Phase transition
Mots-clés : Génie des matériaux, Equation dʼétat, Équilibre thermodynamique, Mie–Grüneisen, Onde de choc, Changement de phase

Author's affiliations:

Olivier Heuzé ¹

¹ CEA, DAM, DIF, 91297 Arpajon, France

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Olivier Heuzé. General form of the Mie–Grüneisen equation of state. Comptes Rendus. Mécanique, Volume 340 (2012) no. 10, pp. 679-687. doi : 10.1016/j.crme.2012.10.044. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.044/

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