Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

Farr, R. S. and Vukmanovic, Zoja and Holness, M. B. and Griffiths, E. (2018) Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy. Physical Review Materials, 2 (7). 073804. ISSN 2475-9953 DOI https://doi.org/10.1103/PhysRevMaterials.2.073804

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Abstract

Reconstructing the three-dimensional (3D) size and shape distribution of randomly oriented grains using only images of cross sections remains an important challenge. Even for ellipsoids, a solution is only possible when they are solids of revolution, and may still be numerically unstable. Here we show that crystallographic orientation data, for example from electron back-scatter diffraction (EBSD), provides enough additional information to obtain moments of the 3D grain distribution, provided grain shapes can be assumed to align with crystal axes. We show that this moment method can give an average 3D grain size and shape (with error estimate) which is rigorous for ellipsoids and a good approximation for cuboidal grains, indicating that it may be a useful technique for polycrystalline materials in general. High throughput image analysis and EBSD now make the necessary sample sizes practical. We illustrate by applying the method to a basaltic rock specimen.

Item Type: Article
Uncontrolled Keywords: 2018AREP; IA74
Subjects: 05 - Petrology - Igneous, Metamorphic and Volcanic Studies
Divisions: 05 - Petrology - Igneous, Metamorphic and Volcanic Studies
08 - Green Open Access
Journal or Publication Title: Physical Review Materials
Volume: 2
Page Range: 073804
Identification Number: https://doi.org/10.1103/PhysRevMaterials.2.073804
Depositing User: Sarah Humbert
Date Deposited: 07 Feb 2019 17:24
Last Modified: 07 Feb 2019 17:24
URI: http://eprints.esc.cam.ac.uk/id/eprint/4413

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