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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2004-01-08
Accepted: 2004-01-30
Published online: 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

Author's affiliations:

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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     title = {Using the gradients of temperature and internal parameters {in~Continuum} {Thermodynamics}},
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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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