Abstract: To study dynamic mechanical properties of concrete, three-dimensional mesoscopic concrete model which consists random convex polyhedron aggregate with different shape and size, and stochastic structure and location was established. The model was verified through static uniaxial compression simulation. According to the actual structure of concrete, the dynamic SHPB of concrete was simulated, and the experimental data under different impact velocities was obtained. Results show that the simulation results are in good agreement with the experimental results and the multi-scale method can be used to link the meso-scale characteristics with the dynamic mechanical behavior of macro-scale. In terms of the concrete mechanical performance, the reduced order homogenization method improves the computational efficiency compared with the meso-scale model.