纤维质多孔材料中纤维间接触点数量的理论模型

In order to study the microstructure of fibrous porous materials, the theoretical values of the number of contact points among fibers in three-dimensional and two-dimensional distribution of fibers in space were studied by establishing a theoretical model of the number of fiber contacts. According to the characteristics of Poisson distribution and combining with the research conclusions of Sampson et al, the functional relationships of the number of contact points among fibers, the diameter of fibers and the porosity were established. Geo-Dict software was adopted to simulate the fiber structure, and the number of fiber contacts was calculated. The theoretical predictions were compared with the results of previous studies. The results show that when the aspect ratio of fibers is constant, the number of fibers is proportional to the number of fiber contacts. When the porosity is constant, the diameter of fibers is inversely proportional to the number of fiber contacts. When the diameter of fibers is fixed, the number of fiber contact decreases with the increase of the porosity, and when the diameter of fibers is greater than 40 μm, the number of contacts does not change with the porosity.