Comptes Rendus
Isotropic brittle damage and unilateral effect
Comptes Rendus. Mécanique, Volume 338 (2010) no. 5, pp. 271-276.

This Note investigates the isotropic version of a general macroscopic model for brittle damage accounting for unilateral effects proposed by Welemane and Cormery (H. Welemane, F. Cormery, An alternative 3D model for damage induced anisotropy and unilateral effect in microcracked materials, J. Phys. IV 105 (2003) 329–336). Built within a rigorous thermodynamic framework, the model uses a single scalar damage variable and accounts for the contribution of each set of parallel microcracks whether they are opened or closed. The consideration of unilateral effects allows to represent an anisotropic elastic behaviour induced by the closure of some microcracks and also the dissymmetric response in tension and compression which characterizes brittle materials.

On s'intéresse dans cette Note à la version isotrope d'un modèle macroscopique d'endommagement fragile intégrant les effets unilatéraux proposé par Welemane et Cormery (H. Welemane, F. Cormery, An alternative 3D model for damage induced anisotropy and unilateral effect in microcracked materials, J. Phys. IV 105 (2003) 329–336). Etablie dans un cadre thermodynamique rigoureux, cette formulation utilise une seule variable scalaire d'endommagement et distingue la contribution de chaque ensemble de microfissures parallèles suivant qu'elles sont ouvertes ou fermées. L'introduction de ces effets unilatéraux permet de représenter une élasticité anisotrope lors de la fermeture d'une partie des défauts ainsi que la dissymétrie de réponse entre traction et compression typique des matériaux fragiles.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2010.04.005
Keywords: Damage, Microcracks, Isotropic model, Unilateral effect
Mot clés : Endommagement, Microfissures, Modèle isotrope, Effet unilatéral

Hélène Welemane 1; Cristina Goidescu 1

1 Université de Toulouse; INP/ENIT; LGP; 47, avenue d'Azereix, 65013 Tarbes, France
@article{CRMECA_2010__338_5_271_0,
     author = {H\'el\`ene Welemane and Cristina Goidescu},
     title = {Isotropic brittle damage and unilateral effect},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {271--276},
     publisher = {Elsevier},
     volume = {338},
     number = {5},
     year = {2010},
     doi = {10.1016/j.crme.2010.04.005},
     language = {en},
}
TY  - JOUR
AU  - Hélène Welemane
AU  - Cristina Goidescu
TI  - Isotropic brittle damage and unilateral effect
JO  - Comptes Rendus. Mécanique
PY  - 2010
SP  - 271
EP  - 276
VL  - 338
IS  - 5
PB  - Elsevier
DO  - 10.1016/j.crme.2010.04.005
LA  - en
ID  - CRMECA_2010__338_5_271_0
ER  - 
%0 Journal Article
%A Hélène Welemane
%A Cristina Goidescu
%T Isotropic brittle damage and unilateral effect
%J Comptes Rendus. Mécanique
%D 2010
%P 271-276
%V 338
%N 5
%I Elsevier
%R 10.1016/j.crme.2010.04.005
%G en
%F CRMECA_2010__338_5_271_0
Hélène Welemane; Cristina Goidescu. Isotropic brittle damage and unilateral effect. Comptes Rendus. Mécanique, Volume 338 (2010) no. 5, pp. 271-276. doi : 10.1016/j.crme.2010.04.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.04.005/

[1] J.-L. Chaboche Damage induced anisotropy: On the difficulties associated with the active/passive unilateral condition, Int. J. Damage Mech., Volume 1 (1992), pp. 148-171

[2] I. Carol; K. Willam Spurious energy dissipation/generation in stiffness recovery models for elastic degradation and damage, Int. J. Solids Structures, Volume 33 (1996), pp. 2939-2957

[3] F. Cormery; H. Welemane A critical review of some damage models with unilateral effect, Mech. Res. Comm., Volume 29 (2002), pp. 391-395

[4] H. Welemane, Une modélisation des matériaux microfissurés – Application aux roches et aux bétons, PhD thesis, Lille, France, 2002

[5] H. Welemane; F. Cormery An alternative 3D model for damage induced anisotropy and unilateral effect in microcracked materials, J. Phys. IV, Volume 105 (2003), pp. 329-336

[6] C. Comi Computational modelling of gradient-enhanced damage in quasi-brittle materials, Mech. Cohes. Frict. Mater., Volume 4 (1999), pp. 17-36

[7] E. Lorentz; P. Badel; J. Ghoussoub-El Gharib Simuler l'endommagement d'une structure : traitement numérique des instabilités, Méca. Indus., Volume 3 (2002), pp. 463-469

[8] P. Ladevèze, J. Lemaitre, Damage effective stress in quasi-unilateral conditions, in: Proc. 16th Int. Cong. Theo. Appl. Mech., Lyngby, Denmark, 1984

[9] J. Mazars; Y. Berthaud; S. Ramtani The unilateral behaviour of damaged concrete, Engng. Fract. Mech., Volume 35 (1990), pp. 629-635

[10] P. Ladevèze Mechanics and mechanisms of damage in composites and multimaterials (D. Baptiste, ed.), MEP, London, 1991

[11] R. Bargellini; D. Halm; A. Dragon Modelling of anisotropic damage by microcracks: Towards a discrete approach, Arch. Mech., Volume 58 (2006), pp. 93-123

[12] H. Welemane; F. Cormery Some remarks on the damage unilateral effect modelling for microcracked materials, Int. J. Damage Mech., Volume 11 (2002), pp. 65-86

[13] V. Pensée; D. Kondo Une analyse micromécanique 3-D de l'endommagement par microfissuration, C. R. Acad. Sci. Paris IIb, Volume 329 (2001), pp. 271-276

[14] Q.C. He; A. Curnier A more fundamental approach to damaged elastic stress-strain relations, Int. J. Solids Structures, Volume 32 (1995), pp. 1433-1457

[15] A. Curnier; Q.C. He; P. Zysset Conewise linear elastic materials, J. Elasticity, Volume 37 (1995), pp. 1-38

[16] F. Cormery; H. Welemane A stress-based macroscopic approach for microcracks unilateral effect, Comp. Mat. Sci., Volume 47 (2010), pp. 727-738

[17] H. Welemane, C. Goidescu, Accounting for microcracks unilateral effect with isotropic damage, in: Proc. Int. Conf. Struc. Analysis Adv. Mater., Tarbes, France, 2009

[18] J.J. Marigo Modelling of brittle and fatigue damage for elastic material by growth of microvoids, Engng. Fract. Mech., Volume 21 (1985), pp. 861-874

Cited by Sources:

Comments - Policy