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Article Dans Une Revue International Journal for Numerical and Analytical Methods in Geomechanics Année : 2015

Discrete element model for crack propagation in brittle materials

Résumé

We propose a discrete element model for brittle rupture. The material consists of a bidimensional set of closed-packed particles in contact. We explore the isotropic elastic behavior of this regular structure to derive a rupture criterion compatible to continuum mechanics. We introduce a classical criterion of mixed mode crack propagation based on the value of the stress intensity factors, obtained by the analysis of two adjacent contacts near a crack tip. Hence, the toughness becomes a direct parameter of the model, without any calibration procedure. We verify the consistency of the formulation as well as its convergence by comparison with theoretical solutions of tensile cracks, a pre-cracked beam, and an inclined crack under biaxial stress.

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Dates et versions

hal-02379930 , version 1 (25-11-2019)

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Ba Danh Le, Georg Koval, Cyrille Chazallon. Discrete element model for crack propagation in brittle materials. International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 40 (4), pp.583-595. ⟨10.1002/nag.2417⟩. ⟨hal-02379930⟩
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