Material point method for crack propagation in anisotropic media: a phase field approach
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. Mat...
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| Format: | Article |
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Springer
2018
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| Online Access: | https://eprints.nottingham.ac.uk/43715/ |
| _version_ | 1848796750429552640 |
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| author | Kakouris, E.G. Triantafyllou, S.P. |
| author_facet | Kakouris, E.G. Triantafyllou, S.P. |
| author_sort | Kakouris, E.G. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:52:57Z |
| format | Article |
| id | nottingham-43715 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:52:57Z |
| publishDate | 2018 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-437152020-05-04T19:30:58Z https://eprints.nottingham.ac.uk/43715/ Material point method for crack propagation in anisotropic media: a phase field approach Kakouris, E.G. Triantafyllou, S.P. 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. Springer 2018-02-05 Article PeerReviewed Kakouris, E.G. and Triantafyllou, S.P. (2018) Material point method for crack propagation in anisotropic media: a phase field approach. Archive of Applied Mechanics, 88 (1-2). pp. 287-316. ISSN 0939-1533 Brittle fracture Anisotropy Phase field Material point method https://link.springer.com/article/10.1007%2Fs00419-017-1272-7 doi: 10.1007/s00419-017-1272-7 doi: 10.1007/s00419-017-1272-7 |
| spellingShingle | Brittle fracture Anisotropy Phase field Material point method Kakouris, E.G. Triantafyllou, S.P. Material point method for crack propagation in anisotropic media: a phase field approach |
| title | Material point method for crack propagation in anisotropic media: a phase field approach |
| title_full | Material point method for crack propagation in anisotropic media: a phase field approach |
| title_fullStr | Material point method for crack propagation in anisotropic media: a phase field approach |
| title_full_unstemmed | Material point method for crack propagation in anisotropic media: a phase field approach |
| title_short | Material point method for crack propagation in anisotropic media: a phase field approach |
| title_sort | material point method for crack propagation in anisotropic media: a phase field approach |
| topic | Brittle fracture Anisotropy Phase field Material point method |
| url | https://eprints.nottingham.ac.uk/43715/ https://eprints.nottingham.ac.uk/43715/ https://eprints.nottingham.ac.uk/43715/ |