Skip to main content

Research Repository

Advanced Search

Phase-field material point method for brittle fracture

Kakouris, E.G.; Triantafyllou, S.P.

Authors

E.G. Kakouris

S.P. Triantafyllou



Abstract

The Material Point Method for the analysis of deformable bodies is revisited and originally upgraded to simulate crack propagation in brittle media. In this setting, phase field modelling is introduced to resolve the crack path geometry. Following a particle in cell approach, the coupled continuum/ phase-field governing equations are defined at a set of material points and interpolated at the nodal points of an Eulerian, i.e. non-evolving, mesh. The accuracy of the simulated crack path is thus de-coupled from the quality of the underlying finite element mesh and relieved from corresponding mesh-distortion errors. A staggered incremental procedure is implemented for the solution of the discrete coupled governing equations of the phase field brittle fracture problem. The proposed method is verified through a series of benchmark tests while comparisons are made between the proposed scheme, the corresponding finite element implementation as well as experimental results.

Citation

Kakouris, E., & Triantafyllou, S. (2017). Phase-field material point method for brittle fracture. International Journal for Numerical Methods in Engineering, 112(12), 1750-1776. https://doi.org/10.1002/nme.5580

Journal Article Type Article
Acceptance Date May 8, 2017
Online Publication Date May 15, 2017
Publication Date Dec 21, 2017
Deposit Date May 15, 2017
Publicly Available Date Mar 29, 2024
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Electronic ISSN 1097-0207
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 112
Issue 12
Pages 1750-1776
DOI https://doi.org/10.1002/nme.5580
Keywords Material Point Method; Phase-Field Model; Fracture Mechanics
Public URL https://nottingham-repository.worktribe.com/output/901531
Publisher URL http://onlinelibrary.wiley.com/doi/10.1002/nme.5580/abstract
Additional Information This is the peer reviewed version of the following article: Kakouris, E. G., and Triantafyllou, S. P. (2017) Phase-Field Material Point Method for Brittle Fracture. Int. J. Numer. Meth. Engng, which has been published in final form at http://dx.doi.org/10.1002/nme.5580. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

Files





You might also like



Downloadable Citations