Abstract
A weakest-link model of cleavage fracture is developed as follows based on the random distribution of microcracks with respect to orientation: P = 1 − exp 1 2 ∫ V EYZ ln S c0 σ 1 − δV V 0 This model contains only two well-defined and easily measured material parameters S c0 and V 0, it avoids the difficulty in evaluating the strength distribution density function of microcracks g( S) as involved in all the previous statistical models of cleavage fracture. The model yields a conservative evaluation of the cumulative probability of failure. With this model, the statistical distribution of fracture toughness for cleavage initiation can be quantitatively predicted by means of numerical analysis.
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