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
[Formulation générale de lʼéquation dʼétat de Mie–Grüneisen]

Olivier Heuzé ¹

¹ CEA, DAM, DIF, 91297 Arpajon, France

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

Résumé
Abstract

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.

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.

Reçu le : 2012-03-20
Accepté le : 2012-10-31
Publié le : 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
Mot clés : Génie des matériaux, Equation dʼétat, Équilibre thermodynamique, Mie–Grüneisen, Onde de choc, Changement de phase

Affiliations des auteurs :

Olivier Heuzé ¹

¹ CEA, DAM, DIF, 91297 Arpajon, France

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     title = {General form of the {Mie{\textendash}Gr\"uneisen} equation of state},
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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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