This paper proposes a novel method of random fiber distribution inspired by the finite element mesh technique. It solves the problem of fiber interference when generating the Representative Volume Element (RVE) with a high volume fraction and prevents fiber cluster formation at low volume fractions. Theoretically, the method can produce Fiber-Reinforced Polymer (FRP) composites with volume fractions up to 90.7%. The mechanical properties of FRP composites are then predicted using a progressive damage model that considers the failure of the matrix and interface. The experimental results in the literature verify the rationality of the numerical model. Finally, the effect of varying volume fractions and cell-cutting methods on the mechanical characteristics of unidirectional FRP composites under transverse loading was studied. The results show that the elastic modulus increases with increasing fiber volume fraction, while the tensile strength shows an opposite trend. The hexagonal cell-cutting method can alleviate the adverse effect of the decrease in tensile strength with the increase in fiber volume fraction. Meanwhile, the hexagonal cell-cutting method is reliably reproducible, and the coefficient of variation for the 30 renditions is only 0.05%. It illustrates that the hexagonal cell-cutting method can generate composites with higher tensile strength compared to other methods.

本文提出了一种受有限元网格技术启发的随机纤维分布的新方法。它解决了生成具有高体积分数的代表性体积元素 (RVE) 时的纤维干扰问题，并防止在低体积分数下形成纤维簇。理论上，该方法可以生产体积分数高达 90.7% 的纤维增强聚合物 (FRP) 复合材料。然后使用考虑基体和界面失效的渐进损伤模型预测 FRP 复合材料的机械性能。文献中的实验结果验证了数值模型的合理性。最后，研究了不同体积分数和单元切割方法对横向加载下单向 FRP 复合材料力学特性的影响。结果表明，弹性模量随着纤维体积分数的增加而增加，而拉伸强度则呈现相反的趋势。六角形单元切割方法可以缓解拉伸强度随纤维体积分数的增加而降低的不利影响。同时，六边形细胞切割方法具有可靠的重现性，30 次再现的变异系数仅为 0.05%。它说明与其他方法相比，六角形细胞切割方法可以生成具有更高拉伸强度的复合材料。六边形细胞切割方法具有可靠的重现性，30 次再现的变异系数仅为 0.05%。它说明与其他方法相比，六角形细胞切割方法可以生成具有更高拉伸强度的复合材料。六边形细胞切割方法具有可靠的重现性，30 次再现的变异系数仅为 0.05%。它说明与其他方法相比，六角形细胞切割方法可以生成具有更高拉伸强度的复合材料。