The relationship between mesoscopic and macroscopic material properties are presented based on the multi-scale method. It is equal to say that the macroscopic damage evolution can bee obtained from the micro-cell simulation results. Then, two kinds of typical micro-cells are generated for the macroscopic tensile and shear damage evolution. To apply the damage evolution from the micro-cell analysis to the engineering simulations, a pragmatic damage evolution law is put forwards for the tensile and shear damage and the damage evolution parameters can be obtained. Comparison between simulation and the experimental results are given to testify the validity of the present model. It is demonstrated that the model agrees well with the experimental results.