Phase-field material point method for brittle fracture
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/...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017
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| Online Access: | https://eprints.nottingham.ac.uk/42846/ |
| _version_ | 1848796583213137920 |
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| author | Kakouris, Emmanouil Triantafyllou, Savvas P. |
| author_facet | Kakouris, Emmanouil Triantafyllou, Savvas P. |
| author_sort | Kakouris, Emmanouil |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:50:17Z |
| format | Article |
| id | nottingham-42846 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:50:17Z |
| publishDate | 2017 |
| publisher | Wiley |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-428462018-05-17T18:27:54Z https://eprints.nottingham.ac.uk/42846/ Phase-field material point method for brittle fracture Kakouris, Emmanouil Triantafyllou, Savvas P. 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. Wiley 2017-12-21 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/42846/1/nmedoc.pdf Kakouris, Emmanouil and Triantafyllou, Savvas P. (2017) Phase-field material point method for brittle fracture. International Journal for Numerical Methods in Engineering, 112 (12). pp. 1750-1776. ISSN 1097-0207 Material Point Method; Phase-Field Model; Fracture Mechanics http://onlinelibrary.wiley.com/doi/10.1002/nme.5580/abstract doi:10.1002/nme.5580 doi:10.1002/nme.5580 |
| spellingShingle | Material Point Method; Phase-Field Model; Fracture Mechanics Kakouris, Emmanouil Triantafyllou, Savvas P. Phase-field material point method for brittle fracture |
| title | Phase-field material point method for brittle fracture |
| title_full | Phase-field material point method for brittle fracture |
| title_fullStr | Phase-field material point method for brittle fracture |
| title_full_unstemmed | Phase-field material point method for brittle fracture |
| title_short | Phase-field material point method for brittle fracture |
| title_sort | phase-field material point method for brittle fracture |
| topic | Material Point Method; Phase-Field Model; Fracture Mechanics |
| url | https://eprints.nottingham.ac.uk/42846/ https://eprints.nottingham.ac.uk/42846/ https://eprints.nottingham.ac.uk/42846/ |