Phase-field material point method for brittle fracture

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

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: May 15, 2017
• 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.
• Contract Date: May 15, 2017