Statistical effects in X-ray diffraction lattice strain measurements of ferritic steel using crystal plasticity
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Accepted version
Author(s)
Erinosho, TO
Collins, DM
Todd, RI
Wilkinson, AJ
Dunne, FPE
Type
Journal Article
Abstract
The influence of statistics on calculated lattice strains has been studied by comparing crystal plasticity finite element (CPFE) calculations with strains measured experimentally. Experimentally, when Bragg's law is obeyed, a plane normal must lie within a narrow orientation range (∼ 0.02° for synchrotron diffraction), or Bragg tolerance. However, CPFE models consider only a small number of grains compared to experiments, necessitating a justification of the statistically representative volume. It also becomes necessary to assess the threshold of Bragg tolerance allowable for the determined statistically representative volume. In this study, an 8 × 8 × 8 model was deemed as statistically representative such that only small benefits are obtained in terms of lattice strain calculations by adopting larger models such as 10 × 10 × 10. Based on the selected model, an allowable Bragg tolerance of approximately 5° was calculated. Also highlighted was the coupling between lattice strain, texture, hardening and applied boundary condition which are discriminators that will affect the choice of model size and Bragg tolerance threshold.
Date Issued
2018-09-05
Date Acceptance
2018-04-27
Citation
Materials and Design, 2018, 153, pp.159-165
ISSN
0264-1275
Publisher
Elsevier
Start Page
159
End Page
165
Journal / Book Title
Materials and Design
Volume
153
Copyright Statement
© 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000436433600017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
EP/I021043/2
Subjects
Science & Technology
Technology
Materials Science, Multidisciplinary
Materials Science
Lattice strain
Statistics
Crystal plasticity
X-ray diffraction
Texture
Hardening
FINITE-ELEMENT METHOD
DEFORMATION
TEXTURE
SIMULATIONS
ENERGY
Publication Status
Published
Date Publish Online
2018-05-05