| Group theory analysis of braided geometry structures |
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| 引用本文： | FENG Wei MA Wensuo. Group theory analysis of braided geometry structures[J]. 科学通报(英文版), 2005, 50(21): 2529-2533. DOI: 10.1007/BF03183644 |
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| 作者姓名： | FENG Wei MA Wensuo |
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| 作者单位： | [1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200071, China [2]Department of Mechanical and Electric Engineering, Jiaozuo University, Jiaozuo 454002, China |
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| 摘 要： | The geometry structure research is very important in improving performances of textile material. The purpose and scope of the study are different in various domains. It is well–known that two-dimensional (2D) textile materials, which have long been studied, vary in the interweave types and performances[1―3]. At present, the study of three-dimensional (3D) braided geometry structures is still based on empiricism, and neither adequate types of braided geometry structure are found, nor researc…
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| 关 键 词： | 几何结构 群理论 空间群 半群 |
| 收稿时间： | 2005-03-20 |
| 修稿时间： | 2005-03-202005-06-17 |
Group theory analysis of braided geometry structures |
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| Wei Feng,Wensuo Ma. Group theory analysis of braided geometry structures[J]. Chinese science bulletin, 2005, 50(21): 2529-2533. DOI: 10.1007/BF03183644 |
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| Authors: | Wei Feng Wensuo Ma |
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| Affiliation: | Wei1 & MA Wensuo1,2 1. Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity, Shanghai 200071, China; 2. Department of Mechanical and Electric Engineering, Jiaozuo Univer-sity, Jiaozuo 454002, China |
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| Abstract: | The braided geometry structures are analyzed with point groups and space groups for which the continuous yarn of the braided preforms is segmented and expressed in some special symbols. All structures of braided material are described and classified with group theory, and new braiding methods are found. The group theory analysis lays the theoretical foundation for optimizing material performance. |
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| Keywords: | braided geometry structure point symbol plane group space group symmetry group analysis |
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