Continuous fiber reinforced composites usually suffer from the tough-to-brittle transition problem, which is of great significance for the interface design and overall performance evaluation of composites. Based on the elastic mechanics solution of the fiber stress field, the shear-lag theory and the statistical analysis method of fiber random fracture probability, and meanwhile considering the stress concentration effect on fibers surface, the statistical tensile strength models for tough-brittle transition of continuous fiber-reinforced ceramic matrix composites were established under two failure modes, namely single-crack mode and multi-cracks mode, respectively. The analysis and calculation results with 2D-C/SiC composites show that: the tensile strength is sensitive to the interfacial slip resistance, with the increase of interfacial slip stress, the fiber stress concentration effect is enhanced and the predicted value of the tensile strength firstly rises and then decreases; the predicted value of the strength under the single-crack mode is significantly higher than that under the multi-cracks mode, but the variation trend of the strength with the interfacial slip stress is similar in the two modes; in the single-crack mode, when considering the contribution of fiber breakage pullout stress to the overall load carrying capacity of CMCs, the model predicted tensile strength value is significantly higher, and the tensile strength continues to increase with the increase of pullout coefficient. The predicted strength values of the model developed in this work are in good agreement with the experimental data in the literature, which proves the rationality and accuracy of the model.
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