Mode I crack tip fields: Strain gradient plasticity theory versus J2 flow theory
File(s)1902.04914.pdf (549.85 KB)
Accepted version
Author(s)
Martinez-Paneda, Emilio
Fleck, Norman A
Type
Journal Article
Abstract
The mode I crack tip asymptotic response of a solid characterised by strain gradient plasticity is investigated. It is found that elastic strains dominate plastic strains near the crack tip, and thus the Cauchy stress and the strain state are given asymptotically by the elastic K-field. This crack tip elastic zone is embedded within an annular elasto-plastic zone. This feature is predicted by both a crack tip asymptotic analysis and a finite element computation. When small scale yielding applies, three distinct regimes exist: an outer elastic K field, an intermediate elasto-plastic field, and an inner elastic K field. The inner elastic core significantly influences the crack opening profile. Crack tip plasticity is suppressed when the material length scale of the gradient theory is on the order of the plastic zone size estimation, as dictated by the remote stress intensity factor. A generalized J-integral for strain gradient plasticity is stated and used to characterise the asymptotic response ahead of a short crack. Finite element analysis of a cracked three point bend specimen reveals that the crack tip elastic zone persists in the presence of bulk plasticity and an outer J-field.
Date Issued
2019-05-01
Date Acceptance
2019-02-13
Citation
European Journal of Mechanics A: Solids, 2019, 75, pp.381-388
ISSN
0997-7538
Publisher
Elsevier
Start Page
381
End Page
388
Journal / Book Title
European Journal of Mechanics A: Solids
Volume
75
Copyright Statement
© 2019 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/.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000471361100030&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Mechanics
Strain gradient plasticity
Length scales
Asymptotic analysis
Finite element analysis
Fracture
GROWTH
FRACTURE
DEFORMATION
WORK
LAW
Publication Status
Published
Coverage Spatial
Tech Univ Denmark, Kongens Lyngby, DENMARK
Date Publish Online
2019-02-19