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
Elastic modulus prediction of f ilament winding composites basedon meso-scale f ilament undulation property analysis
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摘要: 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。Abstract: 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 wasselected 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 theoryand , 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 moduliwith the area ratios of each field to the whole pattern. The calculated elastic moduli are in good agreement with thoseof carbon/ epoxy filament winding composite tubes under tensile loading , which shows that the presented method isvaluable for calculating the elastic modulus of filament winding composites.