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

作者：Guy Nicolas; Seyedi Darius M; Hild Francois^*

来源：International Journal for Numerical Methods in Engineering, 2012, 90(8): 1053-1072.

DOI：10.1002/nme.3362

• brittle materials
• crack networks
• damage mechanics
• nonlocal model
• probabilistic approach
• Weibull model

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.

• 出版日期2012-5-25