Damage localization and rupture with gradient damage models
We propose a method of construction of non homogeneous solutions to the problem of traction of a bar made of an elastic-damaging material whose softening behavior is regularized by a gradient damage model. We show that, for sufficiently long bars, localization arises on sets whose length is proporti...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2012-01-01
|
| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero19/numero_19_art_1.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841562954424647680 |
|---|---|
| author | K. Pham J.-J. Marigo |
| author_facet | K. Pham J.-J. Marigo |
| author_sort | K. Pham |
| collection | DOAJ |
| description | We propose a method of construction of non homogeneous solutions to the problem of traction of a bar made of an elastic-damaging material whose softening behavior is regularized by a gradient damage model. We show that, for sufficiently long bars, localization arises on sets whose length is proportional to the material internal length and with a profile which is also characteristic of the material. The rupture of the bar occurs at the center of the localization zone when the damage reaches there the critical value corresponding to the loss of rigidity of the material. The dissipated energy during all the damage process up to rupture is a quantity which can be expressed in terms of the material parameters. Accordingly, can be considered as the usual surface energy density appearing in the Griffith theory of brittle fracture. All these theoretical considerations are illustrated by numerical examples. |
| format | Article |
| id | doaj-art-d4f90708c75945a199a2450cd74cb891 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-d4f90708c75945a199a2450cd74cb8912025-01-03T00:39:21ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932012-01-01619519Damage localization and rupture with gradient damage modelsK. PhamJ.-J. MarigoWe propose a method of construction of non homogeneous solutions to the problem of traction of a bar made of an elastic-damaging material whose softening behavior is regularized by a gradient damage model. We show that, for sufficiently long bars, localization arises on sets whose length is proportional to the material internal length and with a profile which is also characteristic of the material. The rupture of the bar occurs at the center of the localization zone when the damage reaches there the critical value corresponding to the loss of rigidity of the material. The dissipated energy during all the damage process up to rupture is a quantity which can be expressed in terms of the material parameters. Accordingly, can be considered as the usual surface energy density appearing in the Griffith theory of brittle fracture. All these theoretical considerations are illustrated by numerical examples.http://www.gruppofrattura.it/pdf/rivista/numero19/numero_19_art_1.pdfDamage MechanicsGradient Damage ModelsVariational MethodsCrack Initiation |
| spellingShingle | K. Pham J.-J. Marigo Damage localization and rupture with gradient damage models Fracture and Structural Integrity Damage Mechanics Gradient Damage Models Variational Methods Crack Initiation |
| title | Damage localization and rupture with gradient damage models |
| title_full | Damage localization and rupture with gradient damage models |
| title_fullStr | Damage localization and rupture with gradient damage models |
| title_full_unstemmed | Damage localization and rupture with gradient damage models |
| title_short | Damage localization and rupture with gradient damage models |
| title_sort | damage localization and rupture with gradient damage models |
| topic | Damage Mechanics Gradient Damage Models Variational Methods Crack Initiation |
| url | http://www.gruppofrattura.it/pdf/rivista/numero19/numero_19_art_1.pdf |
| work_keys_str_mv | AT kpham damagelocalizationandrupturewithgradientdamagemodels AT jjmarigo damagelocalizationandrupturewithgradientdamagemodels |