Temperature dependent first matrix cracking stress considering fiber fracture for fiber reinforced ceramic composites

Based on the shear lag theory, the temperature dependent Weibull random distribution functions were introduced to establish temperature dependent stress distribution functions along the axial direction of intact fiber, fractured fiber, and ceramic matrix. Furthermore, the energy consumed by interfacial debonding of fractured fibers is considered. Finally, using the classical energy balance method, a temperature dependent first matrix cracking stress model of fiber reinforced ceramic matrix composites considering the effect of fiber fracture was established. The model is verified by the available experimental data. Compared with similar temperature dependent first matrix cracking stress models, the proposed model can achieve a more reasonable characterization of the first matrix cracking stress of fiber reinforced ceramic matrix composites under a wide temperature range. This work provides a theoretical basis for predicting and evaluating the matrix cracking behavior of fiber reinforced ceramic matrix composites when fibers fracture under different temperature environments.