In the present Note, we present a discrete thermodynamic approach for modeling coupled anisotropic plastic flow and damage evolution in geomaterials. The basic idea is to extend the widely-used isotropic coupled elastoplastic damage formulation to the case with induced anisotropy using a discrete approach. The total plastic strain is considered as the consequence of frictional sliding in weak sliding planes randomly distributed in the elastic solid matrix. The effective elastic tensor of damaged material is determined using damage variable associated with each family of weak sliding planes. An example of application is shown for a typical semi-brittle rock.
Dans la présente Note, nous présentons une approche thermodynamique discrète pour la modélisation du couplage entre la déformation plastique et l'endommagement anisotrope induit des géomatériaux. L'idée de base est d'étendre la formulation largement utilisée pour la modélisation du couplage plasticité- endommagement isotrope au cas de l'anisotropie induite. La déformation plastique totale est considérée comme la conséquence du glissement frottant le long des surfaces des plans de faiblesse, qui sont distribués aléatoirement dans la matrice solide élastique. Les propriétés élastiques effectives du matériau endommagé sont déterminées en fonction de l'endommagement lié à l'évolution des plans de faibless. Un exemple d'application à une roche semifragile est illustré.
Accepted:
Published online:
Mots-clés : Endommagement, Approche discrète, Plasticité, Fissures, Frottement, Glissement
Qi-zhi Zhu 1; Jian-fu Shao 1; Djimedo Kondo 1
@article{CRMECA_2008__336_4_376_0,
author = {Qi-zhi Zhu and Jian-fu Shao and Djimedo Kondo},
title = {A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials},
journal = {Comptes Rendus. M\'ecanique},
pages = {376--383},
publisher = {Elsevier},
volume = {336},
number = {4},
year = {2008},
doi = {10.1016/j.crme.2008.01.006},
language = {en},
}
TY - JOUR AU - Qi-zhi Zhu AU - Jian-fu Shao AU - Djimedo Kondo TI - A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials JO - Comptes Rendus. Mécanique PY - 2008 SP - 376 EP - 383 VL - 336 IS - 4 PB - Elsevier DO - 10.1016/j.crme.2008.01.006 LA - en ID - CRMECA_2008__336_4_376_0 ER -
%0 Journal Article %A Qi-zhi Zhu %A Jian-fu Shao %A Djimedo Kondo %T A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials %J Comptes Rendus. Mécanique %D 2008 %P 376-383 %V 336 %N 4 %I Elsevier %R 10.1016/j.crme.2008.01.006 %G en %F CRMECA_2008__336_4_376_0
Qi-zhi Zhu; Jian-fu Shao; Djimedo Kondo. A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials. Comptes Rendus. Mécanique, Volume 336 (2008) no. 4, pp. 376-383. doi : 10.1016/j.crme.2008.01.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.01.006/
[1] Microporomechanics, Wiley, 2006
[2] Description of soil anisotropy based on multi-laminate framework, Int. J. Numer. Anal. Meth. Geomech., Volume 25 (2001), pp. 197-206
[3] Damage and plasticity in microplane, Int. J. Solids Structures, Volume 34 (1996) no. 29, pp. 3807-3835
[4] On the modelling of anisotropy and destructuration of soft clays within the multi-laminate framework, Computer and Geotechnics, Volume 31 (2004), pp. 1-22
[5] Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: role of the homogenization scheme, Int. J. Solids Structures, Volume 45 (2008) no. 5, pp. 1385-1405
[6] Isotropy of strain energy functions which depend only on a finite number of directional strain measures, J. Appl. Mech., Volume 61 (1994), pp. 284-289
[7] Elastic behavior of composite materials: theoretical foundations (C.S. Yih, ed.), Advances in Applied Mechanics, vol. 21, 1981, pp. 169-242
Cited by Sources:
Comments - Policy