Journal of Textile Research ›› 2019, Vol. 40 ›› Issue (12): 21-26.doi: 10.13475/j.fzxb.20181202806

• Fiber Materials • Previous Articles     Next Articles

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. 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 E-mail:qxm@tjpu.edu.cn

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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

CLC Number: 

  • TQ342.3

Fig.1

Cartesian coordinate system and a fiber in system"

Fig.2

Parallel hexahedron formed by alternating sliding of fiber A and fiber B"

Fig.3

Structure of fiber contact"

Fig.4

Three-dimensional random distribution fiber structure simulation"

Fig.5

Relationship between number of fibers and fiber to fiber contact"

Fig.6

Simulation of randomly distributed fiber structure in X-Y plane"

Fig.7

Relationship between with number of fibers and fiber to fiber contact(X-Y plane)"

Fig.8

Relationship between with fiber diameter and fiber to fiber contact in different porosity"

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