• Citer

Representation of misorientations in Rodrigues-Frank space. Application to the Bain, Kurdjumov-Sachs, Nishiyama-Wassermann, Pitsch and Greninger-Troiano orientation relationships

par Jonas, J.J.;He, Yan;Godet, Stéphane
Référence Materials science forum, 495-497, 2, page (1177-1182)
Publication Publié, 2005

Article révisé par les pairs

• Détails
• Contenu

Résumé :

Orientation relationships between individual crystals can be readily represented in Rodrigues-Frank space because of the 1-to-1 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 3-component vector. The 3 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 ref. systems to highlight the differences. Examples of the various crystallog. relationships between fcc. and bcc. crystals during the γ-to-α transformation are given to demonstrate the advantages of the use of this space.