Abstract:A macro-meso multi-scale method was proposed to investigate the quasi-static and dynamic mechanical behavior of particle-reinforced titanium matrix composites based on a fixed point iteration method. By using this method, the macro-mechanical properties of the composites can be connected with the microstructure. The physical boundary conditions can be obtained for unit cells with the fixed point iteration method from the macro point of view. Dozens of cases have been performed to simulate the macro-mechanical characteristics of the composites by applying these displacement constraint conditions to the unit cells. Based on the comparison of numerical predictions with experimental results, the effects of particle shape, particle volume fraction, particle size and interface strength on the TiC particle-reinforced titanium matrix composites under quasi-static and dynamic loadings are predicted, which provides a basis for the optimal design of particle-reinforced titanium matrix composites