Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric

ZHOU Yu-bo; LI Yan-xia; LI Min; GU Yi-zhuo; ZHANG Zuo-guang; SONG Yong-zhong; YU Li-qiong; CHENG Jia

doi:10.11868/j.issn.1001-4381.2015.000479

Cailiao gongcheng (Apr 2017)

Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric

ZHOU Yu-bo,
LI Yan-xia,
LI Min,
GU Yi-zhuo,
ZHANG Zuo-guang,
SONG Yong-zhong,
YU Li-qiong,
CHENG Jia

Affiliations

ZHOU Yu-bo: Key Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, China
LI Yan-xia: Key Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, China
LI Min: Key Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, China
GU Yi-zhuo: Key Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, China
ZHANG Zuo-guang: Key Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, China
SONG Yong-zhong: Aerospace Research Institute of Materials & Processing Technology, Beijing 100076, China
YU Li-qiong: Aerospace Research Institute of Materials & Processing Technology, Beijing 100076, China
CHENG Jia: Aerospace Research Institute of Materials & Processing Technology, Beijing 100076, China

DOI: https://doi.org/10.11868/j.issn.1001-4381.2015.000479
Journal volume & issue: Vol. 45, no. 4
pp. 102 – 107

Abstract

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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.

Published in Cailiao gongcheng

ISSN: 1001-4381 (Print)
Publisher: Journal of Materials Engineering
Country of publisher: China
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
Website: http://jme.biam.ac.cn/CN/1001-4381/home.shtml

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