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On the accessibility of the disclination tensor from spatially mapped orientation data
Journal article   Open access   Peer reviewed

On the accessibility of the disclination tensor from spatially mapped orientation data

A. C. Leff, C. R. Weinberger, M. L. Taheri and Drexel Univ., Philadelphia, PA (United States)
Acta materialia, v 138(C), pp 161-173
01 Oct 2017
DOI: https://doi.org/10.1016/j.actamat.2017.06.064
url
https://doi.org/10.1016/j.actamat.2017.06.064View
Accepted (AM)Open Access (Publisher-Specific),  Open

Abstract

Materials Science Materials Science, Multidisciplinary Metallurgy & Metallurgical Engineering Science & Technology Technology
Disclinations, defects that accommodate rotational incompatibilities in a crystal lattice, have been described in detail in the literature, but rarely observed in solid materials. Recently, a method has been described by which it is proposed that disclination densities can be estimated using spatially resolved orientation data generated from electron backscatter diffraction or precession electron diffraction. Herein, a rigorous evaluation of this approach is performed. In this work, a series of constructed and real data sets are used to evaluate the methodology for estimating disclination densities from spatially mapped orientation data and demonstrate the inherent error associated with this approach. It is shown that the outcome of this analysis is heavily dependent on the how numerical approximations are implemented. If a self-consistent method is used, then the disclination tensor will always be zero and if an inconsistent method is used then the error in the estimation of the disclination tensor is unbounded. Therefore, although the theory behind the disclination tensor is sound, the inputs needed to calculate it are not experimentally accessible through the application of numerical approximation methods to orientation maps and a different methodology is needed. (C) 2017 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

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Domestic collaboration
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Materials Science, Multidisciplinary
Metallurgy & Metallurgical Engineering
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