Comptes Rendus
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.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2010.03.005
Keywords: Damage, Thermodynamics, Dissipation, Positivity, Internal sliding
Mots clés : Endommagement, Thermodynamique, Dissipation, Positivité, Glissement interne
Lucas Adelaide 1 ; Benjamin Richard 1 ; Frédéric Ragueneau 2 ; Christian Cremona 3

1 Laboratoire central des ponts et chaussées/Univ. Paris Est, 58 boulevard Lefèbvre, 75732 Paris cedex, France
2 LMT-Cachan, ENS-Cachan/CNRS/Univ. Paris 6/UniverSud, 51, avenue du président Wilson, 94320 Cachan, France
3 Ministère de l'énergie, de l'écologie, du développement durable et de la mer, CGDD/DRI/SR, Tour Voltaire, 92055 La Défense cedex, France
@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/

[1] F. Ragueneau, J. Mazars, C. La Borderie, Damage model for concrete including residual hysteretic loops: application to seismic and dynamic loading, in: FramCos 3, 3rd Conference on Fracture Mechanics of Concrete Structures, vol. 1, 1998, pp. 685–696

[2] F. Ragueneau; C. Laborderie; J. Mazars Damage model for concrete-like materials coupling cracking and friction, Contribution towards structural damping: First uniaxial applications Mechanics of Cohesive-Frictional Materials, Volume 5 (2000) no. 8, pp. 607-625

[3] C. La Borderie, Unilateral effects for damage-like materials: modelling and application to concrete structures, Ph.D. Thesis, University Paris VI, 1991 (in French)

[4] M. Matallah; C. La Borderie Inelasticity-damage-based model for numerical modeling of concrete cracking, Engineering Fracture Mechanics, Volume 76 (2009), pp. 1087-1108

[5] J. Lemaitre; J.L. Chaboche Mechanics of Solid Materials, Dunod, 2004

[6] P.J. Armstrong, C.O. Frederick, A mathematical representation of the multiaxial Bauschinger effect, G.E.G.B., Report RD/B/N, 731, 1966

[7] B. Richard, F. Ragueneau, C. Cremona, L. Adelaide, Isotropic continuum damage mechanics for concrete under cyclic loading: stiffness recovery, inelastic strains and frictional sliding, Engineering Fracture Mechanics (2010), in press

[8] B. Richard; F. Ragueneau; C. Cremona; L. Adelaide; J.-L. Tailhan A three-dimensional steel/concrete interface model including corrosion effects, Engineering Fracture Mechanics, Volume 77 (2010) no. 6, pp. 951-973

[9] R. Desmorat Positivity of intrinsic dissipation of a class of nonstandard anisotropic damage models, C. R. Mécanique, Volume 334 (2006), pp. 587-592

[10] R. Desmorat; F. Gatuingt; F. Ragueneau Nonlocal anisotropic damage model and related computational aspects for quasi-brittle materials, Engineering Fracture Mechanics, Volume 74 (2007), pp. 1539-1560

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

Modélisation thermodynamique du frottement interne et de l'hystérésis d'un élastomère

Sabine Cantournet; Rodrigue Desmorat

C. R. Méca (2003)


A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials

Qi-zhi Zhu; Jian-fu Shao; Djimedo Kondo

C. R. Méca (2008)


Isotropic brittle damage and unilateral effect

Hélène Welemane; Cristina Goidescu

C. R. Méca (2010)