Gradient plasticity crack tip characterization by means of the extended finite element method
File(s)1711.09957v1.pdf (621.73 KB)
Accepted version
Author(s)
Martinez-Paneda, E
Natarajan, S
Bordas, S
Type
Journal Article
Abstract
Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior at the small scales involved in crack tip deformation requires, however, the use of a very refined mesh within microns to the crack. In this work a novel and efficient gradient-enhanced numerical framework is developed by means of the extended finite element method (X-FEM). A mechanism-based gradient plasticity model is employed and the approximation of the displacement field is enriched with the stress singularity of the gradient-dominated solution. Results reveal that the proposed numerical methodology largely outperforms the standard finite element approach. The present work could have important implications on the use of microstructurally-motivated models in large scale applications. The non-linear X-FEM code developed in MATLAB can be downloaded from www.empaneda.com/codes.
Date Issued
2017-05-01
Date Acceptance
2017-01-09
Citation
Computational Mechanics, 2017, 59 (5), pp.831-842
ISSN
0178-7675
Publisher
Springer (part of Springer Nature)
Start Page
831
End Page
842
Journal / Book Title
Computational Mechanics
Volume
59
Issue
5
Copyright Statement
© Springer-Verlag Berlin Heidelberg 2017. The final publication is available at Springer via https://link.springer.com/article/10.1007%2Fs00466-017-1375-6
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000399812000007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Technology
Mathematics, Interdisciplinary Applications
Mechanics
Mathematics
Strain gradient plasticity
Extended finite element method
Crack tip fields
Material length scale
MATLAB
CONVENTIONAL THEORY
HARDENING MATERIAL
STRAIN
FRACTURE
XFEM
DISCONTINUITIES
DEFORMATION
SIMULATION
ENRICHMENT
QUADRATURE
Publication Status
Published
Date Publish Online
2017-01-21