纤维缠绕复合材料纤维束形态的细观分析及弹性模量预测

在对纤维缠绕复合材料缠绕图案分析的基础上, 考虑到纤维束的交叠与波动, 提出一种用于计算纤维缠绕复合材料弹性模量的方法。该方法是在纤维缠绕图案中提取一代表单元, 将代表单元分成层板区域和纤维束波动区域。层板区域用经典层板理论计算弹性模量; 纤维束波动区域根据纤维波动的细观图形及走势计算弹性模量。根据层板区域和纤维束波动区域在代表单元中所占的比例, 组合2 个区域的弹性模量以获得代表单元的总体弹性模量。通过测试炭纤维/ 环氧树脂缠绕管在轴向拉伸载荷下的轴向弹性模量及泊松比, 验证了理论计算结果,表明该计算方法能较准确地计算纤维缠绕复合材料的弹性模量, 因此可为这类材料的设计计算提供有益的理论依据。 

Elastic modulus prediction of f ilament winding composites basedon meso-scale f ilament undulation property analysis

Based on an analysis of the filament winding pattern and filament undulation, a new method for calculating the elastic modulus of filament winding composites is presented. A representative filament winding pattern was selected and the pattern was divided into a laminate field and a filament undulation field to calculate their elastic moduli respectively. For the laminate field, the elastic modulus was calculated according to the classical laminate theory and, for filament undulation field, the elastic modulus was calculated according to the meso-scale filament undulation situation. The whole elastic modulus of the pattern was obtained through combining the two-field elastic moduli with the area ratios of each field to the whole pattern. The calculated elastic moduli are in good agreement with those of carbon/epoxy filament winding composite tubes under tensile loading, which shows that the presented method is valuable for calculating the elastic modulus of filament winding composites.