An analytical model was developed to characterize the material behavior of ceramic matrix composites (CMCs). The model incorporates energy-based matrix crack growth, accounting for thermal residual and debonding stresses. Matrix crack growth was analyzed using the Monte Carlo method to represent the random nature of crack growth, which considers the distribution of defects within the material. Additionally, a periodic matrix crack growth model was examined. The results from the model, enhanced with correction factors, showed strong agreement with those obtained from Monte Carlo simulations. Furthermore, the global load sharing (GLS) model that includes the probability of matrix cracks propagating into the fibers was proposed and integrated with the periodic matrix crack growth model. This combined model accurately expressed the stress–strain and crack density–stress relationships up to the point of fiber breakage. The study also examined the propagation of matrix cracks into the fibers in relation to debonding stress and energy, leading to the successful validation of the proposed model.
Read full abstract