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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2012

A probabilistic nonlocal model for crack initiation and propagation in heterogeneous brittle materials

Résumé

A probabilistic damage model is developed to study crack initiation and growth in quasi-brittle materials. Two different thresholds are considered to describe these mechanisms. A Weibull model is used to account for the randomness of crack initiation(s) and then a fracture mechanics based threshold is considered to model crack propagation. The model is integrated in a finite element code via a nonlocal damage approach. A regularization operator based on a stress regularization is introduced. Both damage thresholds are checked using the 'regularized' stress field to avoid mesh dependence. The interaction between propagating cracks and potential initiation sites is accounted for.
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Dates et versions

hal-00694320 , version 1 (04-05-2012)

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Nicolas Guy, Darius Seyedi, François Hild. A probabilistic nonlocal model for crack initiation and propagation in heterogeneous brittle materials. International Journal for Numerical Methods in Engineering, 2012, 90 (8), pp.1053-1072. ⟨10.1002/nme.3362⟩. ⟨hal-00694320⟩
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