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dc.contributor.authorTamayo Mas, Elena
dc.contributor.authorFeliu Fabà, Jordi
dc.contributor.authorCasado Antolín, Montserrat
dc.contributor.authorRodríguez Ferran, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2019-10-30T08:29:44Z
dc.date.available2020-10-05T00:30:59Z
dc.date.issued2019-10-05
dc.identifier.citationTamayo, 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.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/171135
dc.descriptionThis 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.abstractA 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.extent19 p.
dc.language.isoeng
dc.publisherJohn Wiley & sons
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFracture mechanics
dc.subject.lcshDifference equations--Numerical solutions
dc.subject.othercrack branching
dc.subject.otherfinite elements
dc.subject.otherfracture
dc.subject.othergradient damage
dc.subject.othermedial axis
dc.subject.otherX-FEM
dc.titleA continuous-discontinuous model for crack branching
dc.typeArticle
dc.subject.lemacMecànica de fractura
dc.subject.lemacEquacions diferencials--solucions numèriques
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/nme.6125
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74R Fracture and damage
dc.subject.amsClassificació AMS::65 Numerical analysis::65L Ordinary differential equations
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6125
dc.rights.accessOpen Access
local.identifier.drac25846059
dc.description.versionPostprint (author's final draft)
local.citation.authorTamayo, E.; Feliu, J.; Casado, M.; Rodriguez-Ferran, A.
local.citation.publicationNameInternational journal for numerical methods in engineering
local.citation.volume120
local.citation.number1
local.citation.startingPage86
local.citation.endingPage104


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