MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

The generalized Mackenzie distribution: disorientation angle distributions for arbitrary textures

Author(s)
Mason, J. K.; Schuh, Christopher A.
Thumbnail
DownloadSchuh-The generalized Mackenzie distribution.pdf (516.4Kb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/
Metadata
Show full item record
Abstract
A general formulation for the disorientation angle distribution function is derived. The derivation employs the hyperspherical harmonic expansion for orientation distributions, and an explicit solution is presented for materials with cubic crystal symmetry and arbitrary textures. The result provides a significant generalization to the well-known Mackenzie distribution function [Mackenzie JK. Biometrika 1958;45:229] for materials with random crystal orientations. This derivation also demonstrates that the relatively new hyperspherical harmonic expansion provides access to results that have been inaccessible with the more traditional “generalized spherical harmonic” expansion that is in current use throughout the field.
Date issued
2009-07
URI
http://hdl.handle.net/1721.1/69552
Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
Journal
Acta Materialia
Publisher
Elsevier B.V.
Citation
Mason, J.K., and C.A. Schuh. “The Generalized Mackenzie Distribution: Disorientation Angle Distributions for Arbitrary Textures.” Acta Materialia 57.14 (2009): 4186–4197.
Version: Author's final manuscript
ISSN
1359-6454
1873-2453

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.