Numerical experiments in 2D variational fracture
In the present work we present some results of numerical experiments obtained with a variational model for quasi-static Griffith-type brittle fracture. Essentially the analysis is based on a recent formulation by Francfort and Marigo the main difference being the fact that we rely on local rather th...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2010-04-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero12/numero_12_art_7.pdf |
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| author | M. Lippiello E. Babilio A. Fortunato M. Angelillo L. Cardamone |
| author_facet | M. Lippiello E. Babilio A. Fortunato M. Angelillo L. Cardamone |
| author_sort | M. Lippiello |
| collection | DOAJ |
| description | In the present work we present some results of numerical experiments obtained with a variational model for quasi-static Griffith-type brittle fracture. Essentially the analysis is based on a recent formulation by Francfort and Marigo the main difference being the fact that we rely on local rather than on global minimization. Propagation of fracture is obtained by minimizing, in a step by step process, a form of energy that is the sum of bulk and interface terms. To solve the problem numerically we adopt discontinuous finite elements based on variable meshes and search for the minima of the energy through descent methods. We use a sort of mesh dependent relaxation of the interface energy to get out of small energy wells. The relaxation consists in the adoption of a carefully tailored cohesive type interface energy, tending to the Griffith limit as the mesh size tends to zero. |
| format | Article |
| id | doaj-art-f2a6a782a16b487d8a28870f37617012 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2010-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-f2a6a782a16b487d8a28870f376170122025-01-03T01:05:13ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932010-04-014126378Numerical experiments in 2D variational fractureM. LippielloE. BabilioA. FortunatoM. AngelilloL. CardamoneIn the present work we present some results of numerical experiments obtained with a variational model for quasi-static Griffith-type brittle fracture. Essentially the analysis is based on a recent formulation by Francfort and Marigo the main difference being the fact that we rely on local rather than on global minimization. Propagation of fracture is obtained by minimizing, in a step by step process, a form of energy that is the sum of bulk and interface terms. To solve the problem numerically we adopt discontinuous finite elements based on variable meshes and search for the minima of the energy through descent methods. We use a sort of mesh dependent relaxation of the interface energy to get out of small energy wells. The relaxation consists in the adoption of a carefully tailored cohesive type interface energy, tending to the Griffith limit as the mesh size tends to zero.http://www.gruppofrattura.it/pdf/rivista/numero12/numero_12_art_7.pdfGriffith’s fractureNumerical methodsEnergy minimizationFree discontinuities |
| spellingShingle | M. Lippiello E. Babilio A. Fortunato M. Angelillo L. Cardamone Numerical experiments in 2D variational fracture Fracture and Structural Integrity Griffith’s fracture Numerical methods Energy minimization Free discontinuities |
| title | Numerical experiments in 2D variational fracture |
| title_full | Numerical experiments in 2D variational fracture |
| title_fullStr | Numerical experiments in 2D variational fracture |
| title_full_unstemmed | Numerical experiments in 2D variational fracture |
| title_short | Numerical experiments in 2D variational fracture |
| title_sort | numerical experiments in 2d variational fracture |
| topic | Griffith’s fracture Numerical methods Energy minimization Free discontinuities |
| url | http://www.gruppofrattura.it/pdf/rivista/numero12/numero_12_art_7.pdf |
| work_keys_str_mv | AT mlippiello numericalexperimentsin2dvariationalfracture AT ebabilio numericalexperimentsin2dvariationalfracture AT afortunato numericalexperimentsin2dvariationalfracture AT mangelillo numericalexperimentsin2dvariationalfracture AT lcardamone numericalexperimentsin2dvariationalfracture |