Stochastic models of fragmentation of brittle fibers or matrix in composites

The present paper compares the fragmentation strength distributions predicted using various models including: – The well-known Monte Carlo simulation method based on chain-of-segments model and fiber strength distribution. This model has been widely used to simulate fragmentation of fibers in polymer or metal matrix. – Fragment dichotomy model based on failures and flaw-strength distributions in successive fragments. This model has been validated in previous papers by comparison to experimental results, and – Bayesian chain-of-elements model based on flaw-strength distribution in the fiber. This model is proposed in this paper. These models are discussed. They were compared to experimental series of fragmentation stresses obtained during tensile tests on SiC matrix composites reinforced with SiC or C fibers. Matrix failures were detected using either acoustic emission counts or SEM inspection during the tests. The influence of preponderant factors was anticipated.