| Related citation: | Liangwei Chen,Yuyu Hui,Lan Yu,Jin Hu,Jianhong Yi.Rethinking about the Formulae of the Relationship between Euler Angles and Texture[J].Journal of Harbin Institute Of Technology(New Series),2021,28(5):70-77.DOI:10.11916/j.issn.1005-9113.2020013. |
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| Author Name | Affiliation | | Liangwei Chen | School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China | | Yuyu Hui | School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China | | Lan Yu | School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China | | Jin Hu | School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China | | Jianhong Yi | School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China |
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| Abstract: |
| The formulae of the relationships between Euler angles and texture are important for the orientation distribution functions of research materials. At present, it is found that the formulae for the orthogonal and hexagonal crystal structure proposed by Roe and Bunge are not in accord with the normal direction (ND) being perpendicular to the rolling direction (RD). In this paper, these formulae are deduced independently according to the notations proposed by Roe and Bunge. The results show that in addition to the coincidence with the formulae for the cubic crystal structure given by the Roe and Bunge, the other formulae are different from Roe’s and Bunge’s. The new formulae are in accord with ND, RD, and transverse direction (TD) at right angles. |
| Key words: texture Euler space Bunge notation Roe notation orientation distribution function |
| DOI：10.11916/j.issn.1005-9113.2020013 |
| Clc Number:TG146.21 |
| Fund: |
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| Descriptions in Chinese: |
| 关于欧拉角与织构之间的关联公式的再思考 陈亮维*，惠玉玉，虞澜，胡劲，易健宏 （昆明理工大学，材料科学与工程学院，云南昆明650093，中国） 中文说明：摘要:欧拉角与织构之间的关联公式在材料取向分布函数研究中是非常重要的。当前发现由Roe 和 Bunge提出的正交晶系与六方晶系的欧拉角与织构的关系式不满足法线方向与轧制方向垂直的原则。在本文中根据Roe 和 Bunge提出的法则独立地推导了这些公式。结果表明除立方晶体结构的公式与Roe 和 Bunge给出的完全一致之外，其它的公式与Roe 和 Bunge的有差别。在新公式中法向、轧向和横向满足相互垂直的条件。 关键词：织构；欧拉空间；Bunge 法则; Roe 法则;取向分布函数 |
