Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric

Yu Bo Zhou; Yan Xia Li; Min Li; Yi Zhuo Gu; Zuo Guang Zhang; Yong Zhong Song; Li Qiong Yu; Jia Cheng

doi:10.11868/j.issn.1001-4381.2015.000479

Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric

Yu Bo Zhou
, Yan Xia Li^*
, Min Li
, Yi Zhuo Gu
, Zuo Guang Zhang
, Yong Zhong Song
, Li Qiong Yu
, Jia Cheng

^*Corresponding author for this work

School of Materials Science and Engineering

Beihang University
China Aerospace Science and Technology Corporation

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A mathematical abstraction and three-dimensional modeling method of three-dimensional woven fabric structure was developed for the fine weave pierced fabric, taking parametric continuity splines as the track function of tow. Based on the significant parameters of fine weave pierced fabric measured by MicroCT, eight kinds of the three-dimensional digital models of the fabric structure were established with two kinds of tow sections and four kinds of tow trajectory characteristic functions. There is a good agreement between the three-dimensional digital models and real fabric by comparing their structures and porosities. This mathematical abstraction and three-dimensional modeling method can be applied in micro models for sub unit cell and macro models for macroscopic scale fabrics, with high adaptability.

Original language	English
Pages (from-to)	102-107
Number of pages	6
Journal	Journal of Materials Engineering
Volume	45
Issue number	4
DOIs	https://doi.org/10.11868/j.issn.1001-4381.2015.000479
State	Published - 20 Apr 2017

Keywords

Computer modeling
Fine weave pierced fabric
Mathematical abstraction
Preform

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10.11868/j.issn.1001-4381.2015.000479

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title = "Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric",

abstract = "A mathematical abstraction and three-dimensional modeling method of three-dimensional woven fabric structure was developed for the fine weave pierced fabric, taking parametric continuity splines as the track function of tow. Based on the significant parameters of fine weave pierced fabric measured by MicroCT, eight kinds of the three-dimensional digital models of the fabric structure were established with two kinds of tow sections and four kinds of tow trajectory characteristic functions. There is a good agreement between the three-dimensional digital models and real fabric by comparing their structures and porosities. This mathematical abstraction and three-dimensional modeling method can be applied in micro models for sub unit cell and macro models for macroscopic scale fabrics, with high adaptability.",

keywords = "Computer modeling, Fine weave pierced fabric, Mathematical abstraction, Preform",

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T1 - Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric

AU - Zhou, Yu Bo

AU - Li, Yan Xia

AU - Li, Min

AU - Gu, Yi Zhuo

AU - Zhang, Zuo Guang

AU - Song, Yong Zhong

AU - Yu, Li Qiong

AU - Cheng, Jia

PY - 2017/4/20

Y1 - 2017/4/20

N2 - A mathematical abstraction and three-dimensional modeling method of three-dimensional woven fabric structure was developed for the fine weave pierced fabric, taking parametric continuity splines as the track function of tow. Based on the significant parameters of fine weave pierced fabric measured by MicroCT, eight kinds of the three-dimensional digital models of the fabric structure were established with two kinds of tow sections and four kinds of tow trajectory characteristic functions. There is a good agreement between the three-dimensional digital models and real fabric by comparing their structures and porosities. This mathematical abstraction and three-dimensional modeling method can be applied in micro models for sub unit cell and macro models for macroscopic scale fabrics, with high adaptability.

AB - A mathematical abstraction and three-dimensional modeling method of three-dimensional woven fabric structure was developed for the fine weave pierced fabric, taking parametric continuity splines as the track function of tow. Based on the significant parameters of fine weave pierced fabric measured by MicroCT, eight kinds of the three-dimensional digital models of the fabric structure were established with two kinds of tow sections and four kinds of tow trajectory characteristic functions. There is a good agreement between the three-dimensional digital models and real fabric by comparing their structures and porosities. This mathematical abstraction and three-dimensional modeling method can be applied in micro models for sub unit cell and macro models for macroscopic scale fabrics, with high adaptability.

KW - Computer modeling

KW - Fine weave pierced fabric

KW - Mathematical abstraction

KW - Preform

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DO - 10.11868/j.issn.1001-4381.2015.000479

M3 - 文章

AN - SCOPUS:85023162964

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SP - 102

EP - 107

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JF - Journal of Materials Engineering

IS - 4

ER -

Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric

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