Representation of Nye’s Lattice Curvature Tensor by Log Angles

• Matsutani Ryosuke

  Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology

• Onaka Susumu

  Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology

Abstract

The log angles of a rotation matrix are three independent elements of the logarithm of the rotation matrix. Nye’s lattice curvature tensor κ_ij is discussed by using the log angles. For the change in a crystal orientation ΔR with the change in a position Δx_i, it is shown that the elements of κ_ij are written as κ_ij = Δω_i/Δx_j using the log angles Δω_i of ΔR. The log angles for the crystal rotation given by the axis/angle pair are also discussed.   This Paper was Originally Published in Japanese in J. Japan Inst. Met. Mater. 82 (2018) 415–418.

Journal

• MATERIALS TRANSACTIONS

  MATERIALS TRANSACTIONS 60 (6), 935-938, 2019-06-01

  The Japan Institute of Metals and Materials

Keywords

• crystal orientation
• rotation matrix
• log angles
• axis/angle pair
• logarithm of matrix
• lattice curvature tensor
• electron backscatter diffraction

Details

• CRID: 1390282763116751104
• NII Article ID: 40021904480
• NII Article ID: 130007653144
• NII Book ID: AA1151294X
• DOI: 10.2320/matertrans.m2019049
• ISSN: 13475320
• ISSN: 13459678
• NDL BIB ID: 029707200
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I029707200
• Web Site: https://www.jstage.jst.go.jp/article/matertrans/60/6/60_M2019049/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed