[en] In a recent study (Levasseur et al., 2010), we proposed a class of isotropic damage models which
account for initial stresses. The present paper extends this approach to anisotropic damage due to growth of an arbitrarily penny-shaped microcracks system. The basic principle of the upscaling technique in the presence of initial stress is first recalled. Then, we derive a closed-form expression of the elastic energy potential corresponding to a system of arbitrarily oriented microcracks. Thanks to the investigation of the influence of initial stresses on the material response under non monotonous loading paths, it is shown how the coupling between initial stresses and damage is strongly dependent of the microcracks density and orientation. In case of a particular distribution of microcracks orientation, described by a second order damage tensor, this model corresponds to a generalization of the macroscopic damage model of Halm and Dragon (1996), for which a physically-based interpretation can be proposed.
Disciplines :
Mechanical engineering
Author, co-author :
Levasseur, Séverine ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et géologie de l'ingénieur
Collin, Frédéric ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et géologie de l'ingénieur
Charlier, Robert ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et géologie de l'ingénieur
Kondo, Djimédo
Language :
English
Title :
Anisotropic damage model with initial stresses for microcracked materials
Publication date :
2011
Event name :
Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011)
Event place :
Liège, Belgium
Audience :
International
Main work title :
Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011)