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A medial-axis-based model for propagating cracks in a regularised bulk
dc.contributor.author | Tamayo Mas, Elena |
dc.contributor.author | Rodríguez Ferran, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2015-05-15T11:31:56Z |
dc.date.available | 2016-01-28T01:31:21Z |
dc.date.created | 2015-02-17 |
dc.date.issued | 2015-02-17 |
dc.identifier.citation | Tamayo, E.; Rodriguez, A. A medial-axis-based model for propagating cracks in a regularised bulk. "International journal for numerical methods in engineering", 17 Febrer 2015, vol. 101, núm. 7, p. 489-520. |
dc.identifier.issn | 0029-5981 |
dc.identifier.uri | http://hdl.handle.net/2117/27935 |
dc.description.abstract | A new continuous-discontinuous strategy for the simulation of failure is presented. The continuous bulk is regularised by means of a gradient-enhanced damage model, where non-locality is introduced at the level of displacements. As soon as the damage parameter is close or equal to 1, a traction-free crack is introduced. To determine the direction of crack growth, a new criterion is proposed. In contrast to traditional techniques, where mechanical criteria are used to define the crack path, here, a geometrical approach is used. More specifically, given a regularised damage field D(x), we propose to propagate the discontinuity following the direction dictated by the medial axis of the isoline (or isosurface in 3D) D(x) = D*. The proposed approach is tested on different two-dimensional and three-dimensional examples that illustrate that this combined methodology is able to deal with damage growth and material separation. Copyright (c) 2014 John Wiley & Sons, Ltd. |
dc.format.extent | 32 p. |
dc.language.iso | eng |
dc.publisher | John Wiley & Sons |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres |
dc.subject.lcsh | Number theory |
dc.subject.other | continuous-discontinuous strategy |
dc.subject.other | regularisation |
dc.subject.other | smoothed displacements |
dc.subject.other | propagating cracks |
dc.subject.other | medial axis |
dc.subject.other | NONLOCAL DAMAGE MODEL |
dc.subject.other | FINITE-ELEMENT-METHOD |
dc.subject.other | GRADIENT ELASTICITY |
dc.subject.other | BOUNDARY-CONDITIONS |
dc.subject.other | CONTINUUM DAMAGE |
dc.subject.other | FAILURE |
dc.subject.other | FRACTURE |
dc.subject.other | GROWTH |
dc.subject.other | DISPLACEMENTS |
dc.subject.other | FORMULATION |
dc.title | A medial-axis-based model for propagating cracks in a regularised bulk |
dc.type | Article |
dc.subject.lemac | Nombres, Teoria dels |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/nme.4757 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | 11Y Computational number theory |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/nme.4757/full |
dc.rights.access | Open Access |
local.identifier.drac | 15633109 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Tamayo, E.; Rodriguez, A. |
local.citation.publicationName | International journal for numerical methods in engineering |
local.citation.volume | 101 |
local.citation.number | 7 |
local.citation.startingPage | 489 |
local.citation.endingPage | 520 |
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