Log Angles: Characteristic Angles of Crystal Orientation Given by the Logarithm of Rotation Matrix

被引：4

作者：

Hayashi, Kunio ^{[1
]}

Osada, Motoki ^{[2
]}

Kurosu, Yuki ^{[1
]}

Miyajima, Yoji ^{[1
]}

Onaka, Susumu ^{[1
]}

机构：

[1] Tokyo Inst Technol, Interdisciplinary Grad Sch Sci & Engn, Dept Mat Sci & Engn, Yokohama, Kanagawa 2268502, Japan

[2] Tokyo Inst Technol, Sch Engn, Dept Met Engn, Tokyo 1528552, Japan

来源：

JOURNAL OF THE JAPAN INSTITUTE OF METALS AND MATERIALS | 2015年 / 79卷 / 01期

关键词：

logarithm of matrix; misorientation; microstructure; Euler angles; axis/angle pair; ALUMINUM SINGLE-CRYSTALS; PLASTIC-DEFORMATION; EQUIVALENT STRAIN; HENCKY STRAIN; CUBE;

D O I：

10.2320/jinstmet.J2014036

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

A rotation matrix R with respect to a reference frame is used to describe certain crystal orientation. The logarithm of R, in R is a skew symmetric tensor with three independent elements of real numbers. The goniometer stage model in the present study shows that the three independent elements of in R are the characteristic angles of R representing the rotation angles around coordinate axes. Different from various kinds of the Euler angles, the characteristic angles called the log angles are uniquely determined for certain R.

引用

页码：9 / 15

页数：7

共 27 条

[1] Log Angles: Characteristic Angles of Crystal Orientation Given by the Logarithm of Rotation Matrix
Hayashi, Kunio
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Onaka, Susumu
MATERIALS TRANSACTIONS, 2016, 57 (04) : 507 - 512
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[3] Correction: Mars orientation and rotation angles
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[4] Comparison of convergence towards invariant distributions for rotation angles, twist angles and local Lyapunov characteristic numbers
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[5] Mars orientation and rotation angles (vol 135, 50, 2023)
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[7] Description of Changes in Crystal Orientations by the Elements of Logarithm of a Rotation Matrix
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[9] Effect of nozzle rotation angles and sizes on thermal characteristic of swirl anti-icing
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[10] METHOD FOR CALCULATING DIHEDRAL ANGLES IN HELICAL POLYMERS WITH GIVEN VALUES OF UNIT HEIGHT AND UNIT ROTATION
GO, N
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