纤维质多孔材料中纤维间接触点数量的理论模型

doi:10.13475/j.fzxb.20181202806

纺织学报 ›› 2019, Vol. 40 ›› Issue (12): 21-26.doi: 10.13475/j.fzxb.20181202806

纤维质多孔材料中纤维间接触点数量的理论模型

白赫¹^,², 钱晓明¹(), 范金土¹^,³, 钱幺¹, 刘永胜¹, 王小波¹

1.天津工业大学纺织科学与工程学院, 天津 300387
2.天津师范大学物理与材料科学学院, 天津 300387
3.香港理工大学纺织及服装学系, 香港 999077

收稿日期:2018-12-12 修回日期:2019-05-25 出版日期:2019-12-15 发布日期:2019-12-18
通讯作者: 钱晓明
作者简介:白赫(1986—),男,博士生。主要研究方向为新型非织材料结构设计。
基金资助:
国家重点研发计划项目(2017YFB0309300);天津市科技计划项目(17PTSYJC00150)

Theoretical model for number of fiber contacts in fibrous porous materials

BAI He¹^,², QIAN Xiaoming¹(), FAN Jintu¹^,³, QIAN Yao¹, LIU Yongsheng¹, WANG Xiaobo¹

1. School of Textile Science and Engineering, Tiangong University, Tianjin 300387, China
2. College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China
3. Institute of Textiles and Clothing, The Hong Kong Polytechnic University, Hong Kong 999077, China

Received:2018-12-12 Revised:2019-05-25 Online:2019-12-15 Published:2019-12-18
Contact: QIAN Xiaoming

摘要/Abstract

摘要：

为深入研究纤维质多孔材料的微观结构,通过建立纤维间接触点数量的理论模型,分别研究纤维在空间中三维和二维分布情况下,纤维间接触点数量的理论值。根据泊松分布的特点,结合Sampson等的研究结论,建立纤维间接触点数量、纤维直径和孔隙率的函数关系。使用Geo-Dict软件模拟纤维结构,同时计算纤维间接触点数量,再分别将纤维不同取向的理论预测值和前人研究结果相比较。结果表明:当纤维长径比不变时,纤维数量与纤维间接触点数量呈线性正比关系;当孔隙率不变时,纤维直径与纤维间接触点数量呈反比关系;当纤维直径固定时,纤维间接触点数量随孔隙率增加而减少;当纤维直径大于40 μm时,接触点数量不随孔隙率的变化而改变。

关键词: 多孔材料, 微观结构, 纤维取向, 分布函数, 纤维间接触点数量, 理论模型

Abstract:

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.

Key words: porous material, microstructure, fiber orientation, distribution function, number of fiber contact, theoretical model

中图分类号:

TQ342.3

白赫, 钱晓明, 范金土, 钱幺, 刘永胜, 王小波. 纤维质多孔材料中纤维间接触点数量的理论模型[J]. 纺织学报, 2019, 40(12): 21-26.

BAI He, QIAN Xiaoming, FAN Jintu, QIAN Yao, LIU Yongsheng, WANG Xiaobo. Theoretical model for number of fiber contacts in fibrous porous materials[J]. Journal of Textile Research, 2019, 40(12): 21-26.

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纤维质多孔材料中纤维间接触点数量的理论模型

Theoretical model for number of fiber contacts in fibrous porous materials

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