In order to study the effect of substitution rate and mix design methods on mechanical properties of brick-concrete recycled coarse aggregate concrete， a damage constitutive model was established based on the hypothesis of strain equivalence and Weibull distribution. By considering the functional relation between distribution parameters and substitution rate， the damage constitutive model was modified， and then the performance of the damage variable and development rate of damage variable with the increase of strain were discussed. The results show that the constitutive model curves have a high correlation with the test curves， and the model parameters a， b meet the quadratic functional relation with substitution rate， reflect the peak stress， peak strain and the brittleness of concrete respectively. The whole damage D of brick-concrete recycled coarse aggregate concrete consists of initial damage D_R and load damage D_C， and initial damage D_R is caused by the brick-concrete recycled coarse aggregate mixed. With the increase of strain， the whole damage variable increases monotonically in a shape of S， and the development rate of damage variable first increases and then decreases. The mix design methods have an influence on damage degree and damage development rate of brick-concrete recycled coarse aggregate concrete.