Abstract The ability to predict fiber orientation accurately is critical for determining the improvement of mechanical properties of injection molded composites. Based on the cumulative distribution function (CDF) monotonically increasing, a smoothing model of piecewise linear approximation function is proposed by assuming that the first derivative is continuous. Taking into account the ability of Weibull distribution reducing to an exponential decay function, a generalized distribution function (GDF) of fiber orientation is proposed by introducing the core thickness ratio (hc) to describe the sandwich layered morphology. Compared with the experimental results in the literatures, the cumulative generalized distribution function fits well (R2 > 0.98), and there is a good correlation (RE

中文翻译：

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注射成型复合材料纤维取向的广义分布函数

摘要 准确预测纤维取向的能力对于确定注塑复合材料机械性能的改善至关重要。基于累积分布函数(CDF)单调递增，假设一阶导数连续，提出了分段线性逼近函数的平滑模型。考虑到威布尔分布可归结为指数衰减函数的能力，通过引入芯厚比（hc）来描述夹心层状形态，提出了纤维取向的广义分布函数（GDF）。与文献中的实验结果相比，累积广义分布函数拟合较好（R2 > 0.98），且具有良好的相关性（RE