Representation of Misorientations in Rodrigues-Frank Space: Application to the Bain, Kurdjumov-Sachs, Nishiyama-Wassermann, Pitsch and Greninger-Troiano Orientation Relationships

Abstract:

Orientation relationships between individual crystals can be readily represented in Rodrigues-Frank space because of the one-to-one correspondence between each misorientation and a vector in the fundamental zone of this space. This is done by integrating the rotation angle and axis into a three-component vector. In this study, the three classical orientation relationships describing the γ-to-α transformation, namely the Bain, Kurdjumov-Sachs and Nishiyama- Wassermann, are represented in Rodrigues-Frank space. Also considered are the somewhat less common Pitsch and Greninger-Troiano relationships. The misorientations between these types of transformation variants are displayed in R-F space based on alternative reference systems to highlight the differences. Examples of the various crystallographic relationships between fcc and bcc crystals during the γ-to-α transformation are given to demonstrate the advantages of the use of this space.

• Periodical: Materials Science Forum (Volumes 495-497)
• Pages: 1177-1182
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.495-497.1177
• Online since: September 2005
• Authors: John J. Jonas, You Liang He, Stéphane Godet
• Keywords: Bain, Greninger-Troiano, Kurdjumov-Sachs, Nishiyama-Wassermann, Pitsch, Rodrigues-Frank , Transformation Relationships

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