Show simple item record

dc.contributor.authorArroyo Balaguer, Marino
dc.contributor.authorBelytschko, T
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationArroyo, M.; Belytschko, T. An atomistic-based finite deformation membrane for single layer crystalline films. "Journal of the mechanics and physics of solids", Setembre 2002, vol. 50, núm. 9, p. 1941-1977.
dc.description.abstractA general methodology to develop hyper-elastic membrane models applicable to crystalline films one-atom thick is presented. In this method, an extension of the Born rule based on the exponential map is proposed. The exponential map accounts for the fact that the lattice vectors of the crystal lie along the chords of the curved membrane, and consequently a tangent map like the standard Born rule is inadequate. In order to obtain practical methods, the exponential map is locally approximated. The effectiveness of our approach is demonstrated by numerical studies of carbon nanotubes. Deformed configurations as well as equilibrium energies of atomistic simulations are compared with those provided by the continuum membrane resulting from this method discretized by finite elements.
dc.format.extent37 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFinite element method
dc.subject.lcshNanotubes, Carbon
dc.subject.otherConstitutive behavior
dc.subject.otherShells and membranes
dc.subject.otherFinite elements
dc.subject.otherAtomistic models
dc.titleAn atomistic-based finite deformation membrane for single layer crystalline films
dc.subject.lemacElements finits, Mètode dels
dc.subject.lemacNanotubs de carboni
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author’s final draft)
local.citation.authorArroyo, M.; Belytschko, T.
local.citation.publicationNameJournal of the mechanics and physics of solids

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain