Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (07): 59-66.doi: 10.13475/j.fzxb.20190706308

• Textile Engineering • Previous Articles     Next Articles

Micro-geometry modeling of three-dimensional orthogonal woven fabrics based on digital element approach

MA Ying1,2(), HE Tiantian1, CHEN Xiang1,3, LU Sheng1,3, WANG Youqi2   

  1. 1. College of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
    2. Composites Laboratory, Kansas State University, Kansas 66506, USA
    3. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
  • Received:2019-07-29 Revised:2020-04-07 Online:2020-07-15 Published:2020-07-23

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Abstract:

In order to reflect the configuration and micro-geometry of yarns inside the fabric and aiming at the problem of overlooking the change of cross-section yarn shape, which was caused by relative motion between fibers, during the simulation process, this paper proposed a method for calculating the inter-fiber friction based on the digital element approach. Based on this, the micro-geometry models of five three-dimensional orthogonal woven fabrics were built at sub-yarn scale with varied cross-sectional yarn shape via weaving process simulation. Each model is composed of 4, 7, 12, 19, and 37 digital fibers per yarn respectively. The results show that when the number of digital fiber per yarn increases, the simulation time and fiber volume fraction increases, the fabric thickness, the rate of the nodal force decline, and the potential energy decreases. When the number of fiber per yarn equals to 19, the micro-geometry of the numerical model is the most consistent with the microscopic picture of the actual fabric.

Key words: three-dimensional woven composite, three-dimensional orthogonal woven fabric, digital element approach, micro-geometry, yarn discretization

CLC Number: 

  • TS105.1

Fig.1

Three elements of digital element approach. (a) Digital fiber; (b) Digital yarn; (c) Contact element"

Fig.2

Illustration of friction force calculation. (a) Before translation; (b) After translation"

Fig.3

Three-dimensional orthogonal fabric structure"

Fig.4

Three-dimensional orthogonal woven topology"

Fig.5

Flow chart of digital element approach modeling"

Fig.6

Simulation of three-dimensional orthogonal woven fabric weaving process with different simulation time. (a) Model 1; (b) Model 2; (c) Model 3; (d) Model 4; (e) Model 5"

Fig.7

Relationship between average nodal force and time"

Fig.8

Relationship between unit-cell potential energy and time"

Tab.1

Simulation parameters of three-dimensional orthogonal woven fabric weaving process"

纤维
根数		 迭代
次数		 离散
程度/根		 纤维体积
分数/%		 累计
耗时/ms
1 2 30.1 13.2
4 2 4 36.4 19.9
3 4 42.2 33.5
1 7 28.5 12.1
7 2 7 36.4 32.1
3 7 46.6 58.8
1 4 26.9 8.1
12 2 12 31.9 28.2
3 12 42.3 68.3
1 19 28.1 17.8
19 2 19 36.3 50.6
3 19 45.3 99.8
1 37 28.2 24.9
37 2 37 36.5 71.9
3 37 50.1 163.9

Fig.9

Front view comparison results between fabric unit-cell model and microscope picture. (a) Model 1; (b) Model 2; (c) Model 3; (d) Model 4; (e) Model 5"

Fig.10

Side view comparison results between fabric unit-cell model and microscope picture. (a) Model 1; (b) Model 2; (c) Model 3; (d) Model 4; (e) Model 5"

Fig.11

Change of fabric thickness with time"

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