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A continuous-discontinuous model for crack branching
dc.contributor.author | Tamayo Mas, Elena |
dc.contributor.author | Feliu Fabà, Jordi |
dc.contributor.author | Casado Antolín, Montserrat |
dc.contributor.author | Rodríguez Ferran, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2019-10-30T08:29:44Z |
dc.date.available | 2020-10-05T00:30:59Z |
dc.date.issued | 2019-10-05 |
dc.identifier.citation | Tamayo, E. [et al.]. A continuous-discontinuous model for crack branching. "International journal for numerical methods in engineering", 5 Octubre 2019, vol. 120, núm. 1, p. 86-104. |
dc.identifier.issn | 0029-5981 |
dc.identifier.uri | http://hdl.handle.net/2117/171135 |
dc.description | This is the peer reviewed version of the following article: Tamayo, E. [et al.]. A continuous-discontinuous model for crack branching. "International journal for numerical methods in engineering", 5 Octubre 2019, vol. 120, núm. 1, p. 86-104, which has been published in final form at https://doi.org/10.1002/nme.6125. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. |
dc.description.abstract | A new continuous-discontinuous model for fracture that accounts for crack branching in a natural manner is presented. It combines a gradient-enhanced damage model based on nonlocal displacements to describe diffuse cracks and the extended finite element method (X-FEM) for sharp cracks. Its most distinct feature is a global crack tracking strategy based on the geometrical notion of medial axis: the sharp crack propagates following the direction dictated by the medial axis of a damage isoline. This means that, if the damage field branches, the medial axis automatically detects this bifurcation, and a branching sharp crack is thus easily obtained. In contrast to other existing models, no special crack-tip criteria are required to trigger branching. Complex crack patterns may also be described with this approach, since the X-FEM enrichment of the displacement field can be recursively applied by adding one extra term at each branching event. The proposed approach is also equipped with a crack-fluid pressure, a relevant feature in applications such as hydraulic fracturing or leakage-related events. The capabilities of the model to handle propagation and branching of cracks are illustrated by means of different two-dimensional numerical examples. |
dc.format.extent | 19 p. |
dc.language.iso | eng |
dc.publisher | John Wiley & sons |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Fracture mechanics |
dc.subject.lcsh | Difference equations--Numerical solutions |
dc.subject.other | crack branching |
dc.subject.other | finite elements |
dc.subject.other | fracture |
dc.subject.other | gradient damage |
dc.subject.other | medial axis |
dc.subject.other | X-FEM |
dc.title | A continuous-discontinuous model for crack branching |
dc.type | Article |
dc.subject.lemac | Mecànica de fractura |
dc.subject.lemac | Equacions diferencials--solucions numèriques |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/nme.6125 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74R Fracture and damage |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65L Ordinary differential equations |
dc.relation.publisherversion | https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6125 |
dc.rights.access | Open Access |
local.identifier.drac | 25846059 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Tamayo, E.; Feliu, J.; Casado, M.; Rodriguez-Ferran, A. |
local.citation.publicationName | International journal for numerical methods in engineering |
local.citation.volume | 120 |
local.citation.number | 1 |
local.citation.startingPage | 86 |
local.citation.endingPage | 104 |
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