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dc.contributor.authorAskes, Harm
dc.contributor.authorRodríguez Ferran, Antonio
dc.contributor.authorHetherington, Jack
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2015-10-22T09:59:36Z
dc.date.available2016-03-01T01:30:41Z
dc.date.issued2015-03-16
dc.identifier.citationAskes, H., Rodriguez-Ferran, A., Hetherington, J. The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics. "International journal for numerical methods in engineering", 16 Març 2015, vol. 101, núm. 11, p. 809-824.
dc.identifier.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/78105
dc.description.abstractIn this paper, the effects of element shape on the critical time step are investigated. The common rule-of-thumb, used in practice, is that the critical time step is set by the shortest distance within an element divided by the dilatational (compressive) wave speed, with a modest safety factor. For regularly shaped elements, many analytical solutions for the critical time step are available, but this paper focusses on distorted element shapes. The main purpose is to verify whether element distortion adversely affects the critical time step or not. Two types of element distortion will be considered, namely aspect ratio distortion and angular distortion, and two particular elements will be studied: four-noded bilinear quadrilaterals and three-noded linear triangles. The maximum eigenfrequencies of the distorted elements are determined and compared to those of the corresponding undistorted elements. The critical time steps obtained from single element calculations are also compared to those from calculations based on finite element patches with multiple elements. Copyright (c) 2014 John Wiley & Sons, Ltd.
dc.format.extent16 p.
dc.language.isoeng
dc.publisherJohn Wiley & Sons
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshStrength of materials
dc.subject.lcshElasticity
dc.subject.otherexplicit time integration
dc.subject.othercritical time step
dc.subject.othereigenfrequency
dc.subject.otherelement distortion
dc.subject.otherelement aspect ratio
dc.subject.otherDOMAIN COMPUTATIONAL DYNAMICS
dc.subject.otherBIPENALTY METHOD
dc.subject.otherSHEET-METAL
dc.subject.otherSIMULATION
dc.subject.otherSTABILITY
dc.titleThe effects of element shape on the critical time step in explicit time integrators for elasto-dynamics
dc.typeArticle
dc.subject.lemacResistència de materials
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/nme.4819
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.rights.accessOpen Access
local.identifier.drac15504402
dc.description.versionPostprint (author’s final draft)
local.citation.authorAskes, H.; Rodriguez-Ferran, A.; Hetherington, J.
local.citation.publicationNameInternational journal for numerical methods in engineering
local.citation.volume101
local.citation.number11
local.citation.startingPage809
local.citation.endingPage824


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