Material point method for crack propagation in anisotropic media: a phase field approach

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

Abstract

A novel phase field formulation implemented within a material point method setting is developed to address brittle fracture simulation in anisotropic media. The case of strong anisotropy in the crack surface energy is treated by considering an appropriate variational, i.e., phase field approach. Material point method is utilized to efficiently treat the resulting coupled governing equations. The brittle fracture governing equations are defined at a set of Lagrangian material points and subsequently interpolated at the nodes of a fixed Eulerian mesh where solution is performed. As a result, the quality of the solution does not depend on the quality of the underlying finite element mesh and is relieved from mesh-distortion errors. The efficiency and validity of the proposed method is assessed through a set of benchmark problems.

• Journal Article Type: Article
• Acceptance Date: Jun 20, 2017
• Online Publication Date: Jul 14, 2017
• Publication Date: Feb 5, 2018
• Deposit Date: Jun 22, 2017
• Publicly Available Date: Jul 14, 2017
• Journal: Archive of Applied Mechanics
• Print ISSN: 0939-1533
• Electronic ISSN: 0939-1533
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 88
• Issue: 1-2
• Pages: 287-316
• DOI: https://doi.org/10.1007/s00419-017-1272-7
• Keywords: Brittle fracture, Anisotropy,, Phase field Material point method
• Public URL: https://nottingham-repository.worktribe.com/output/910118
• Publisher URL: https://link.springer.com/article/10.1007%2Fs00419-017-1272-7
• Additional Information: The final publication is available at Springer via http://dx.doi.org/ 10.1007/s00419-017-1272-7