Abstract: A multi-scale modeling strategy was proposed to investigate LVI and CAI behaviors of plain woven carbon-fiber-reinforced composites. The multi-scale modeling strategy mainly consisted of microscale, mesoscale and macroscale models. Firstly, the microscale representative volume element of “carbon fibers and matrix” was constructed to predict effective mechanics parameters of yarns. Moreover, the mesoscale unit cell model of “yarns and matrix” was built based on the internal geometric configuration of plain woven composites and the obtained effective mechanics parameters. Various loading scenarios were performed on the mesoscale model by periodic boundary conditions to predict effective mechanics properties of the mesoscale unit cell model. Meanwhile, the mesoscale unit cell model was simplified as an equivalent cross-ply laminate(ECPL) model with 0° and 90° layers using local homogenization method. And then, the array of ECPL model was extended to macroscale model, aiming to study the LVI and CAI behaviors. Finally, the validity of the proposed model was verified by the comparisons between the experimental and numerical values of LVI and CAI tests under different impact energy levels respectively.

Key words: plain woven carbon-fiber-reinforced composite, multi-scale analysis, local homogenization, low-velocity impact(LVI), compression after impact(CAI)

摘要： 构建了多尺度模型对碳纤维平纹机织复合材料低速冲击及冲击后压缩性能进行预测分析，该多尺度模型包括微观、细观和宏观模型三部分。构建“碳纤维基体”的微观代表性体积单元模型，用于预测纤维束等效力学参数。根据平纹机织复合材料内部几何构型及求得的纤维束等效力学参数，构建“纤维束基体”的细观单胞模型，并通过周期性边界条件对其施加不同的位移载荷，预测细观单胞模型的等效力学性能。基于局部均匀化方法将细观单胞模型简化为含有0°和90°单层的等效交叉层合板模型，并将其阵列扩展为宏观模型，以分析低速冲击及冲击后压缩性能。通过对比不同冲击能量下的低速冲击及冲击后压缩的试验与仿真结果，验证了模型的有效性。 

关键词: 碳纤维平纹机织复合材料, 多尺度分析, 局部均匀化, 低速冲击, 冲击后压缩