Abstract: A progressive homogenization multi-scale analysis method is developed to predict the response and damage of CFR plain woven laminates under low velocity impact and compression after impact (CAI) in this paper. First, a microscopic unit cell model of the carbon fiber bundle is established, the equivalent stiffness and strength of the fiber bundles are calculated. Then, a mesoscopic unit cell model is established, and the mechanical properties at 0° and 90° are calculated. Additionally, the mesoscopic model is transformed into an equivalent subcell model usinga progressive homogenization method, which is then expand into a macro-scale integrated three-dimensional finite element model with low-velocity impact and compression. The three-dimensional Hashin failure criterion and the continuous damage mechanics model are used to simulate the damage initiation and evolution of CFR plain woven material laminates, and the cohesive zone model is used to evaluate the interlayer damage. The results show that the numerical analysis results of CFR plain weave material after low-velocity impact and compression are in good agreement with the experimental results, which verifies the reliability and accuracy of the progressive homogenization multi-scale analysis method. With the increase of impact energy, the remaining compressive strength of the laminate decreases nonlinearly. For the fiber damage and matrix damage under low-velocity impact load, as the impact energy increases, the damage also increases. However, the CAI behavior is the opposite. The area of compression damage decreases with the increase of impact energy.

Key words: CFR plain weave material, progressive homogenization, multi-scale model, low-speed impact, compression after impact, composites