A non-local methodology for geometrically necessary dislocations and application to crack tips
File(s) [Rev1_final_submit]nonlocal_gnd.pdf (2.11 MB)
Accepted version
Author(s)
Xu, Yilun
Type
Journal Article
Abstract
A non-local method for the establishment of geometrically necessary dislocation (GND) based on a non-local domain integral has been developed and incorporated into crystal plasticity finite element (CPFE) formulations. The proposed non-local GND method has been validated through a four-point bending case, where the mesh sensitivity of the traditional GND method has been substantially diminished by virtue of the applied non-local domain integral. A comprehensive parametric study has been conducted to investigate the non-local domain effect on the GND calculation. The application of the non-local GND method has resembled the experimental observation of the GND density distribution near a crack tip, and improved the stress field compared to the local method. The improvement on the accuracy of predicting a microstructural driving force at crack tips reveals the necessity of applying the non-local GND method in predicting material fatigue life.
Date Issued
2021-05-01
Date Acceptance
2021-03-01
Citation
International Journal of Plasticity, 2021, 140 (1), pp.1-16
ISSN
0749-6419
Publisher
Elsevier
Start Page
1
End Page
16
Journal / Book Title
International Journal of Plasticity
Volume
140
Issue
1
Copyright Statement
© 2021 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
https://www.sciencedirect.com/science/article/pii/S0749641921000450
Grant Number
EP/R018863/1
Subjects
Mechanical Engineering & Transports
0905 Civil Engineering
0912 Materials Engineering
0913 Mechanical Engineering
Publication Status
Published
Article Number
102970
Date Publish Online
2021-03-06
