两种位向关系的描述方法的转换及其应用
收稿日期: 2009-12-02
修回日期: 2010-03-18
网络出版日期: 2010-06-11
基金资助
国家自然科学基金资助项目 50971076
CONVERTION AND ITS APPLICATION OF TWO KINDS OF DISCRIPTIONS ON THE ORIENTATION RELATIONSHIP
Received date: 2009-12-02
Revised date: 2010-03-18
Online published: 2010-06-11
Supported by
Supported by National Natural Science Foundation of China (No.50971076)
孟杨 , 张文征 . 两种位向关系的描述方法的转换及其应用[J]. 金属学报, 2010 , 46(6) : 647 -656 . DOI: 10.3724/SP.J.1037.2009.00805
In fcc/bcc phase transformation systems, the orientation relationships (ORs) are usually described by parallelism of a set of specific vectors pairs or small deviations from the parallelism. This method often reflects the characteristic feature of the phase transformation correspondence. With the application of the electron backscatter diffraction (EBSD) technique to the measurement of the ORs, the ORs are also evaluated by a rotation matrix or a group of Euler angles. However, this quantitative description does not provide an intrinsic relationship between the crystallography equivalent variants. Thus, self–consistency of the data from different variants with an identical OR is not reflected directly by the data. In this paper, formulas have been derived to convert the OR identified by the relative orientation of a specific st of vectors to the OR described by Euler angles in data from EBSD. This method is useful fr acquiring self–consistent OR of small number of variants. Compared with the fitting method using high–indexed pole figures, which requires existence of many variants, the present method has broader applicability. An application example is given to deermine the OR between two pases in a duplex stainless steel from the measurement data of two variants. A slight deviation from an exact twin relationship between the variants has been characterized.
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