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

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

Authors

E.G. Kakouris

S.P. Triantafyllou



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
Publication Date Feb 5, 2018
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
APA6 Citation Kakouris, E., & Triantafyllou, S. (2018). Material point method for crack propagation in anisotropic media: a phase field approach. Archive of Applied Mechanics, 88(1-2), https://doi.org/10.1007/s00419-017-1272-7
DOI https://doi.org/10.1007/s00419-017-1272-7
Keywords Brittle fracture, Anisotropy,, Phase field Material point method
Publisher URL https://link.springer.com/article/10.1007%2Fs00419-017-1272-7
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information The final publication is available at Springer via http://dx.doi.org/ 10.1007/s00419-017-1272-7

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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