数值模拟统计纤维体分比的分布

根据复合材料增强纤维在基体中随机分布的特点，利用Monte Carlo法进行纤维在基体中随机分布的数值模拟研究，对单胞Voronoi cell的纤维体分比Vf分布进行了统计特征分析，发现了纤维体分比Vf的单峰统计分布规律，可应用于复合材料宏细观力学性能的深入研究。

Numerical Simulation of Statistical Law of Reinforced Fiber Volume Fraction in a Composite Matrix

The statistical law of reinforced fiber volume fraction in a composite matrix is important for estimating the macro and meso mechanical properties of composites. So we have developed an algorithm for numerically simulating this statistical law through Monte Carlo method. In order to use Monte Carlo method, Section 1 makes four assumptions needed in constructing a statistical sample; these assumptions are based on actual morphology of the sample as can be seen from Fig.1. Section 1 then gives a six step procedure for developing the algorithm needed. It is worth mentioning especially that our algorithm includes constructing random walk rule for each fiber in a typical sample and includes dividing the typical sample into many Voronoi cells. Section 2 uses our algorithm to compute the fiber volume fraction of each Voronoi cell and then obtains the numerical simulation of statistical law of reinforced fiber volume fraction of the entire sample. Figs.7 and 8 give useful information about this statistical law and lead, in particular, to two conclusions: (1) the law obeys single peak distribution; (2) the skewness of the distribution decreases to zero with increasing reinforced fiber content in composite matrix.