Using the gradients of temperature and internal parameters in Continuum Thermodynamics

Peter Ireman; Quoc-Son Nguyen

doi:10.1016/j.crme.2004.01.012

Using the gradients of temperature and internal parameters in Continuum Thermodynamics
[Introduction des gradients de température et de paramètres internes en Thermodynamique des Milieux Continus]

Présenté par : André Zaoui

Peter Ireman ¹ ; Quoc-Son Nguyen ²

¹ Department of Mechanical Engineering, Linkoping University, Sweden
² Laboratoire de mécanique des solides, CNRS(umr7649), École polytechnique, Palaiseau, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 249-255.

Résumé
Abstract

On étudie dans cette note la possibilité d'introduire les gradients de la température et des paramètres internes comme des variables d'état supplémentaires en Thermodynamique des Milieux Continus. A partir d'une expression appropriée de la production interne d'entropie, on donne les énoncés des deux principes et l'expression associée de l'inégalité de Clausius–Duhem. Plusieurs formulations sont proposées et comparées aux résultats existants de la littérature.

In this paper, the possibility of using the gradients of the temperature and of the internal parameters as additional state variables in Continuum Thermodynamics is considered. The expressions of the two principles are discussed and Clausius–Duhem inequality is derived under an appropriate statement of the internal entropy production. Several formulations are proposed and compared to existing results in the literature.

Reçu le : 2004-01-08
Accepté le : 2004-01-30
Publié le : 2004-03-18

DOI : 10.1016/j.crme.2004.01.012

Keywords: Continuum mechanics, Continuum thermodynamics, State variable, Temperature gradient, Internal parameter gradient
Mots-clés : Milieux continus, Thermodynamique des milieux continus, Variable d'état, Gradient thermique, Gradient de paramètre interne

Affiliations des auteurs :

Peter Ireman ¹ ; Quoc-Son Nguyen ²

¹ Department of Mechanical Engineering, Linkoping University, Sweden
² Laboratoire de mécanique des solides, CNRS(umr7649), École polytechnique, Palaiseau, France

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Peter Ireman; Quoc-Son Nguyen. Using the gradients of temperature and internal parameters in Continuum Thermodynamics. Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 249-255. doi : 10.1016/j.crme.2004.01.012. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.01.012/

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