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EnglishWe obtain a cohesive fracture model as a Γ-limit of scalar damage models in which the elastic coefficient is computed from the damage variable v through a function f_k of the form f_k (v) = min{1, ε_k^{1/2} f (v)}, with f diverging for v close to the value describing undamaged material. The resulting fracture energy can be determined by solving a one-dimensional vectorial optimal profile problem. It is linear in the opening s at small values of s and has a finite limit as s → ∞. If the function f is allowed to depend on the index k, for specific choices we recover in the limit Dugdale’s and Griffith’s fracture models, and models with surface energy density having a power-law growth at small openings.
Phase field approximation of cohesive fracture models / Sergio, Conti; Matteo, Focardi; Flaviana, Iurlano. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 33(2016), pp. 1033-1067. [10.1016/j.anihpc.2015.02.001]
| Titolo: | Phase field approximation of cohesive fracture models | |
| Autori di Ateneo: | ||
| Autori: | Sergio, Conti; FOCARDI, MATTEO; Flaviana, Iurlano | |
| Anno di registrazione: | 2016 | |
| Rivista: | ||
| Volume: | 33 | |
| Pagina iniziale: | 1033 | |
| Pagina finale: | 1067 | |
| Abstract: | We obtain a cohesive fracture model as a Γ-limit of scalar damage models in which the elastic coefficient is computed from the damage variable v through a function f_k of the form f_k (v) = min{1, ε_k^{1/2} f (v)}, with f diverging for v close to the value describing undamaged material. The resulting fracture energy can be determined by solving a one-dimensional vectorial optimal profile problem. It is linear in the opening s at small values of s and has a finite limit as s → ∞. If the function f is allowed to depend on the index k, for specific choices we recover in the limit Dugdale’s and Griffith’s fracture models, and models with surface energy density having a power-law growth at small openings. | |
| Handle: | http://hdl.handle.net/2158/945936 | |
| Appare nelle tipologie: | 1a - Articolo su rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Conti-Focardi-Iurlano-AIHP16.pdf | Pdf editoriale (Version of record) | DRM non definito | Administrator Richiedi una copia | |
| con-foc-iur_34-VQR.pdf | Versione finale referata (Postprint, Accepted manuscript) | DRM non definito | Accesso pubblicoVisualizza/Apri |
http://hdl.handle.net/2158/945936
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