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
2013-04-01
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| Series: | Fracture and Structural Integrity |
| Online Access: | https://www.fracturae.com/index.php/fis/article/view/85 |
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| author | M. Angelillo A. Fortunato E. Babilio M. Lippiello L. Cardamone |
| author_facet | M. Angelillo A. Fortunato E. Babilio M. Lippiello L. Cardamone |
| author_sort | M. Angelillo |
| 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-30030dcf644e4c82b335754d4477d189 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2013-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-30030dcf644e4c82b335754d4477d1892025-01-03T00:46:04ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932013-04-0141210.3221/IGF-ESIS.12.07Numerical experiments in 2D variational fractureM. Angelillo0A. Fortunato1E. Babilio2M. Lippiello3L. Cardamone4Università di Salerno, Dipartimento di Ingegneria CivileUniversità di Salerno, Dipartimento di Ingegneria Civile.Università di Napoli, Dipartimento di CostruzioniUniversità di Napoli, Dipartimento di CostruzioniSISSA TriesteIn 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.https://www.fracturae.com/index.php/fis/article/view/85 |
| spellingShingle | M. Angelillo A. Fortunato E. Babilio M. Lippiello L. Cardamone Numerical experiments in 2D variational fracture Fracture and Structural Integrity |
| 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 |
| url | https://www.fracturae.com/index.php/fis/article/view/85 |
| work_keys_str_mv | AT mangelillo numericalexperimentsin2dvariationalfracture AT afortunato numericalexperimentsin2dvariationalfracture AT ebabilio numericalexperimentsin2dvariationalfracture AT mlippiello numericalexperimentsin2dvariationalfracture AT lcardamone numericalexperimentsin2dvariationalfracture |