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根据三维四向编织复合材料中纤维束的空间几何结构特征,提出了改进的三细胞模型,该模型包含内部单胞、两种表面单胞以及棱角单胞四类结构,考虑了各类单胞中纤维束的空间结构,并引入平均纤维束填充因子来描述各类单胞中纤维束的不同截面形状对材料弹性常数的影响.基于刚度平均化方法建立了相应的刚度预测模型,得到了三维四向编织复合材料的工程弹性常数.与实验结果的对比表明,计算结果的预测精度较好.最后讨论了编织角和纤维体积分数对材料等效弹性性能的影响.
Based on the spatial geometry of fiber bundles in three-dimensional four-directional braided composites, an improved three-cell model is proposed. The model includes four types of internal unit cells, two surface unit cells and angular unit cells. And the average fiber bundle fill factor was introduced to describe the effect of different cross-section shapes of fiber bundles on the elastic constants of materials.The stiffness prediction model was established based on the stiffness averaging method, and the three-dimensional The engineering elastic constants of the four-directional braided composites are compared with the experimental results, which show that the prediction accuracy of the calculated results is good.Finally, the effects of braid angle and fiber volume fraction on the equivalent elastic properties of the material are discussed.