The matrix random cracking of ceramic matrix composite was simulated by Montel Carlo model.The shear-lag model was used to analyze the micro-stress field of the damaged composites

and the formula of the stress-strain behavior was derived.The uniaxial tensile experiment of unidirectional-C/SiC composites at ambient temperature has been performed

and the simulated stress-strain curve was compared to the experimental data.The tensile stress-strain curves of SiC/CAS and SiC/Si3N4 composites were simulated

which agreed well with the related experimental results.Besides

infuence of the model parameters on stress-strain curve was analyzed.Research shows that the higher the Weibull modulus

the more evident the non-linear phenomenon;the higher the thermal residual stress

the earlier the non-linear phenomenon appears;the effect of the minimum cracking stress on the stress-strain is similar to the effect of the Weibull modulus;the Monte Carlo model can simulate the stress-strain curve of ceramic matrix composites efficiently.