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A stress-based macroscopic approach for microcracks unilateral effect

Cormery, Fabrice and Welemane, Hélène A stress-based macroscopic approach for microcracks unilateral effect. (2010) Computational Materials Science, 47 (3). 727-738. ISSN 0927-0256

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Official URL: http://dx.doi.org/10.1016/j.commatsci.2009.10.016


The question of the nonlinear response of brittle materials undergoing elastic damage is investigated here. Owing to the specific nature of microcracking, the macroscopic behaviour of these materials is complex, generally anisotropic owing to the possible preferential orientation of defects and multilinear because of the unilateral effect due to the transition between open and closed state of microcracks. A new three-dimensional macroscopic model outlined by Welemane and Cormery [1] has been proposed to account simultaneously for these both aspects. This paper intends to present in details the principles of such approach and to demonstrate its applicability to a stress-based framework. Based on a fabric tensor representation of the damage density distribution, the model provides a continuum and rigorous description of the contribution of defaults which avoids classical spectral decompositions and related inconsistencies. The model is also strongly micromechanically motivated, especially to handle the elastic moduli recovery that occurs at the closure of microcracks. The macroscopic theoretical framework proposed constitutes a general approach that leads in particular to predictions of a class of micromechanical models. The capacities of the approach are illustrated and discussed on various cases of damage configurations and opening 13closure states, with a special attention to the differences with the strain-based framework and to the influence of the damage variables order.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Computational Materials Science website : http://www.sciencedirect.com/science/article/pii/S0927025609004005
HAL Id:hal-00444325
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Arts et Métiers ParisTech (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Université des Sciences et Technologies de Lille - USTL (FRANCE)
Other partners > Ecole Centrale de Lille (FRANCE)
Laboratory name:
Laboratoire de Mécanique de Lille - LML (Lille, France) - Couplages thermo-hydromécaniques et chimiques
Laboratoire Génie de Production - LGP (Tarbes, France) - Mécanique des Matériaux, des Structures et Procédés - M2SP
Deposited On:30 Oct 2012 09:07

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