Starting from the non-continuum mechanics, a meso element equivalent model was proposed to simulate the failure process of concrete. The equivalent mechanical behaviors of concrete meso element were deduced theoretically and verified by numerical simulation. Based on the meso element equivalent model, the failure process and macro mechanical properties of wet-screened concrete under uniaxial tensile were simulated with the extended-finite element method. And the results of meso element equivalent model were compared with those of random aggregate model. The results indicate that, compared with random aggregate model, the degrees of freedom of the structural system decrease greatly, and the crack propagation path and the macroscopic mechanical properties obtained from the meso element equivalent model are consistent with the random aggregate model, which reflects the accuracy and efficiency fully of the mechanical model.