Title of article :
Description of Changes in Crystal Orientations by the Elements of Logarithm of a Rotation Matrix
Author/Authors :
Hayashi, Kunio Department of Materials Science and Engineering - Tokyo Institute of Technology - Nagatsuta - Yokohama , Japan , Onaka, Susumu Department of Materials Science and Engineering - Tokyo Institute of Technology - Nagatsuta - Yokohama , Japan
Abstract :
The logarithm lnRof rotation matrixRis a skew symmetric tensor consisting of three independent elements of real numbers. Inaddition to the Euler angles and the axis/angle pair, the elements of lnRcalled the log angles are also the set of three parameters ofR. In this paper, we will show that the concept of the log angles is also useful to discuss changes in crystal orientations. The changesinRas a function of the position are given by the changes in the log angles. As an example, orientation changes caused by arrays ofdislocations in a plastically deformed Cu single crystal are discussed.
Keywords :
Description , Changes , Crystal Orientations , Elements , Logarithm , Rotation Matrix , (SEM/EBSD)
