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Gradient plasticity crack tip characterization by means of the extended finite element method

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Martínez-Pañeda, Emilio  ORCID logo  https://orcid.org/0000-0002-1562-097X
Natarajan, Sundar 
Bordas, Stéphane 

Abstract

© 2017, Springer-Verlag Berlin Heidelberg. 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.

Description

Keywords

Strain gradient plasticity, Extended finite element method, Crack tip fields, Material length scale, MATLAB

Journal Title

Computational Mechanics

Conference Name

Journal ISSN

0178-7675
1432-0924

Volume Title

59

Publisher

Springer Science and Business Media LLC