Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric
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 b...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Journal of Materials Engineering
2017-04-01
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| Series: | Cailiao gongcheng |
| Subjects: | |
| Online Access: | http://jme.biam.ac.cn/CN/Y2017/V45/I4/102 |
| _version_ | 1797964993598062592 |
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| author | ZHOU Yu-bo LI Yan-xia LI Min GU Yi-zhuo ZHANG Zuo-guang SONG Yong-zhong YU Li-qiong CHENG Jia |
| author_facet | ZHOU Yu-bo LI Yan-xia LI Min GU Yi-zhuo ZHANG Zuo-guang SONG Yong-zhong YU Li-qiong CHENG Jia |
| author_sort | ZHOU Yu-bo |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T01:52:12Z |
| format | Article |
| id | doaj.art-99d1a0cae7984f2099ed56b4e30a31d1 |
| institution | Directory Open Access Journal |
| issn | 1001-4381 1001-4381 |
| language | zho |
| last_indexed | 2024-04-11T01:52:12Z |
| publishDate | 2017-04-01 |
| publisher | Journal of Materials Engineering |
| record_format | Article |
| series | Cailiao gongcheng |
| spelling | doaj.art-99d1a0cae7984f2099ed56b4e30a31d12023-01-03T06:08:15ZzhoJournal of Materials EngineeringCailiao gongcheng1001-43811001-43812017-04-0145410210710.11868/j.issn.1001-4381.2015.000479201704000479Theory and Examples of Mathematical Modeling for Fine Weave Pierced FabricZHOU Yu-bo0LI Yan-xia1LI Min2GU Yi-zhuo3ZHANG Zuo-guang4SONG Yong-zhong5YU Li-qiong6CHENG Jia7Key Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, ChinaKey Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, ChinaKey Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, ChinaKey Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, ChinaKey Laboratory of Aerospace Materials and Performance (Ministry of Education), School of Materials Science and Engineering, Beihang University, Beijing 100191, ChinaAerospace Research Institute of Materials & Processing Technology, Beijing 100076, ChinaAerospace Research Institute of Materials & Processing Technology, Beijing 100076, ChinaAerospace Research Institute of Materials & Processing Technology, Beijing 100076, ChinaA 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.http://jme.biam.ac.cn/CN/Y2017/V45/I4/102fine weave pierced fabricpreformmathematical abstractioncomputer modeling |
| spellingShingle | ZHOU Yu-bo LI Yan-xia LI Min GU Yi-zhuo ZHANG Zuo-guang SONG Yong-zhong YU Li-qiong CHENG Jia Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric Cailiao gongcheng fine weave pierced fabric preform mathematical abstraction computer modeling |
| title | Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric |
| title_full | Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric |
| title_fullStr | Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric |
| title_full_unstemmed | Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric |
| title_short | Theory and Examples of Mathematical Modeling for Fine Weave Pierced Fabric |
| title_sort | theory and examples of mathematical modeling for fine weave pierced fabric |
| topic | fine weave pierced fabric preform mathematical abstraction computer modeling |
| url | http://jme.biam.ac.cn/CN/Y2017/V45/I4/102 |
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