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Three‐dimensional texture visualization approaches: applications to nickel and titanium alloys
Author(s) -
Callahan Patrick G.,
Echlin McLean P.,
Stinville Jean Charles,
Pollock Tresa M.,
Singh Saransh,
Ram Farangis,
De Graef Marc
Publication year - 2017
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576717010470
Subject(s) - texture (cosmology) , stereographic projection , materials science , visualization , euler's formula , crystallography , alloy , metallurgy , geometry , mathematics , artificial intelligence , computer science , mathematical analysis , image (mathematics) , chemistry
This paper applies the three‐dimensional visualization techniques explored theoretically by Callahan, Echlin, Pollock, Singh & De Graef [ J. Appl. Cryst. (2017), 50 , 430–440] to a series of experimentally acquired texture data sets, namely a sharp cube texture in a single‐crystal Ni‐based superalloy, a sharp Goss texture in single‐crystal Nb, a random texture in a powder metallurgy polycrystalline René 88‐DT alloy and a rolled plate texture in Ti‐6Al‐4V. Three‐dimensional visualizations are shown (and made available as movies as supplementary material) using the Rodrigues, Euler and three‐dimensional stereographic projection representations. In addition, it is shown that the true symmetry of Euler space, as derived from a mapping onto quaternion space, is described by the monoclinic color space group P c c in the Opechowski and Guccione nomenclature.