The theoretical framework of irreversible processes thermodynamics is nowadays widely used for formulating constitutive laws. Both the physical and the thermodynamical consistency of a constitutive model can be ensured. A unique condition gathering the first and the second thermodynamics principles, known as the Clausius–Duhem–Truesdell inequality, allows checking the thermodynamical admissibility of a constitutive model. In this paper, the authors are focused on proposing a proof of the thermodynamical admissibility of a set of constitutive equations coupling elasticity, isotropic damage and internal sliding.
Le cadre théorique de la thermodynamique des processus irréversibles est de nos jours largement utilisé pour la formulation des lois de comportement. En effet, la cohérence physique et thermodynamique d'un modèle de comportement peut être vérifiée à travers ce cadre théorique. Une unique condition regroupant les premier et second principes thermodynamiques, connue sous le nom d'inégalité de Clausius–Duhem–Truesdell, permet si elle est vérifiée d'assurer l'admissibilité thermodynamique d'un modèle constitutif. Dans cette contribution, les auteurs proposent une preuve de l'admissibilité thermodynamique d'un ensemble d'équations constitutives couplant élasticité, endommagement isotrope et glissement interne.
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Mots-clés : Endommagement, Thermodynamique, Dissipation, Positivité, Glissement interne
Lucas Adelaide 1; Benjamin Richard 1; Frédéric Ragueneau 2; Christian Cremona 3
@article{CRMECA_2010__338_3_158_0,
author = {Lucas Adelaide and Benjamin Richard and Fr\'ed\'eric Ragueneau and Christian Cremona},
title = {Thermodynamical admissibility of a set of constitutive equations coupling elasticity, isotropic damage and internal sliding},
journal = {Comptes Rendus. M\'ecanique},
pages = {158--163},
publisher = {Elsevier},
volume = {338},
number = {3},
year = {2010},
doi = {10.1016/j.crme.2010.03.005},
language = {en},
}
TY - JOUR AU - Lucas Adelaide AU - Benjamin Richard AU - Frédéric Ragueneau AU - Christian Cremona TI - Thermodynamical admissibility of a set of constitutive equations coupling elasticity, isotropic damage and internal sliding JO - Comptes Rendus. Mécanique PY - 2010 SP - 158 EP - 163 VL - 338 IS - 3 PB - Elsevier DO - 10.1016/j.crme.2010.03.005 LA - en ID - CRMECA_2010__338_3_158_0 ER -
%0 Journal Article %A Lucas Adelaide %A Benjamin Richard %A Frédéric Ragueneau %A Christian Cremona %T Thermodynamical admissibility of a set of constitutive equations coupling elasticity, isotropic damage and internal sliding %J Comptes Rendus. Mécanique %D 2010 %P 158-163 %V 338 %N 3 %I Elsevier %R 10.1016/j.crme.2010.03.005 %G en %F CRMECA_2010__338_3_158_0
Lucas Adelaide; Benjamin Richard; Frédéric Ragueneau; Christian Cremona. Thermodynamical admissibility of a set of constitutive equations coupling elasticity, isotropic damage and internal sliding. Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 158-163. doi : 10.1016/j.crme.2010.03.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.03.005/
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