Discrete approach for modelling quasi-brittle damage: conditions on the set of directions

Bargellini, Renaud; Halm, Damien; Dragon, André

doi:10.1016/j.crme.2007.10.003

Cited by 4 publications

(3 citation statements)

References 9 publications

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“…In the latter case, the approach would then become an ‘integrated discrete’ damage representation one. Regarding the definition of equivalent systems, some works exist for isotropic materials (Bargellini et al., 2007; Zhu, 2006), but the question remains still open for initially anisotropic materials, in particular when microcracks closure effects are taken into account.…”

Section: Model Formulationmentioning

confidence: 99%

Anisotropic unilateral damage with initial orthotropy: A micromechanics-based approach

Goidescu

Welemane

Pantalé

et al. 2014

International Journal of Damage Mechanics

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A micromechanics-based damage model able to describe the brittle response of initially anisotropic materials is presented. A special emphasis is put on the account of damage-induced anisotropy and unilateral behaviour related to microcracks closure effects. These both features clearly influence the inelastic deformation of microcracked materials and lead to even more complex consequences in the context of initial anisotropy. The aim of this work is then to derive a new strain-based formulation which allows representing the related interactions between all these phenomena. This is achieved through a recent two-dimensional energy-based micromechanical analysis that accounts for the fully anisotropic multilinear response of orthotropic materials weakened by arbitrarily oriented microcracks. On the other hand, the thermodynamics framework gives a standard procedure for the development of the damage evolution law. Throughout the paper, attention is put on the mathematical and thermodynamical consistency of the model to avoid difficulties usually associated to the simultaneous description of damage-induced anisotropy and unilateral effects. In addition to elastic constants, the model requires the identification of only two parameters related to damage evolution. The model has been implemented within the commercial finite-element code ABAQUS, and various numerical simulations are presented to illustrate its capabilities. Especially, evolution of the material symmetry and influence of opening-closure states of microcracks on the damage process are illustrated in the case of brittle matrix composites subjected to different loading cases (axis and off-axis loads, tension and compression, tension followed by compression).

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Section: Model Formulationmentioning

confidence: 99%

Anisotropic unilateral damage with initial orthotropy: A micromechanics-based approach

Goidescu

Welemane

Pantalé

et al. 2014

International Journal of Damage Mechanics

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“…This choice is physically similar to discrete orientation-based approaches [58,48,35], with the additional feature that the spatial connectivity of cracks is explicitly incorporated , similarly to the discrete fracture network approach [44,48]. The bulk constituents of the material are modelled with linear elastic tetrahedral finite elements, between which interface elements are inserted to represent potential microcracks.…”

Section: Crack Modelling Strategymentioning

confidence: 99%

“…This approach was progressively developed, focusing on volumetric dilatancy, pressure sensitivity and stiffness recovery [32]; and on the interaction between initial and cracking-induced anisotropy [33]. The effect of anisotropic damage and unilateral effects on the elastic behaviour was analysed in [34]; and subsequent evolutions of the approach were proposed to account for discrete orientations of cracking in the formulation of thermodynamical potentials [35,36].…”

Section: Introductionmentioning

confidence: 99%

Computational modelling of crack-induced permeability evolution in granite with dilatant cracks

Massart

Selvadurai

2014

International Journal of Rock Mechanics and Mining Sciences

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A computational homogenization technique is used to investigate the role of fine scale dilatancy on the stress-induced permeability evolution in a granitic material. A representative volume element incorporating the heterogeneous fabric of the material is combined with a fine-scale interfacial decohesion model to account for microcracking. A material model that incorporates dilatancy is used to assess the influence of dilatant processes at the fine scale on the averaged mechanical behaviour and on permeability evolution, based on the evolving opening of microcracks. The influence of the stress states on the evolution of the spatially averaged permeability obtained from simulations is examined and compared with experimental results available in the literature. It is shown that the dilatancy-dependent permeability evolution can be successfully modelled by the averaging approach.

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Experimental investigation of the behaviour of a simulant material for plastic-bonded explosives and modelling of the effectivity and damage induced anisotropy

Chatti

Gratton

Caliez

et al. 2022

Mechanics of Materials

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Discrete approach for modelling quasi-brittle damage: conditions on the set of directions

Cited by 4 publications

References 9 publications

Anisotropic unilateral damage with initial orthotropy: A micromechanics-based approach

Anisotropic unilateral damage with initial orthotropy: A micromechanics-based approach

Computational modelling of crack-induced permeability evolution in granite with dilatant cracks

Experimental investigation of the behaviour of a simulant material for plastic-bonded explosives and modelling of the effectivity and damage induced anisotropy

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