Based on the experimental results and toughening mechanism of model Ⅰ interlaminar fracture toughness for Z-pins reinforced ceramic matrix composites

a simple pullout model of Z-pins was proposed. The inconsistency of pullout displacement in the scale of Z-pins diameter was considered carefully

prediction model of model Ⅰ interlaminar fracture performance for Z-pins reinforced ceramic matrix composites was obtained by means of the simple double cantilever beam (DCB) theory

and the predicted results were in good agreement with the experiments. Using this analysis as a foundation

the effect on crack tips energy release rate with different Z-pins diameters and crack lengths was studied

and then compared with the method of spring element. Results show that with the increase of diameters

the differences of energy release rate at crack tip gradually increase by two methods

but the difference is relatively small when crack tip is close to Z-pins; however

with the increase of crack lengths

there is a big difference in the two methods energy release rate at crack tip

the inconsistency of pullout displacement in the scale of Z-pins diameter cant be ignored.