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Continuum mechanics modeling and simulation of carbon nanotubes
dc.contributor.author | Arroyo Balaguer, Marino |
dc.contributor.author | Belytschko, T. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-08-02T11:21:30Z |
dc.date.available | 2010-08-02T11:21:30Z |
dc.date.created | 2005-12 |
dc.date.issued | 2005-12 |
dc.identifier.citation | Arroyo, M.; Belytschko, T. Continuum mechanics modeling and simulation of carbon nanotubes. "Meccanica", Desembre 2005, vol. 40, núm. 4-6, p. 455-469. |
dc.identifier.issn | 0025-6455 |
dc.identifier.uri | http://hdl.handle.net/2117/8548 |
dc.description | The original publication is available at http://www.springerlink.com/content/y67618r501860067/ |
dc.description.abstract | The understanding of the mechanics of atomistic systems greatly benefits from continuum mechanics. One appealing approach aims at deductively constructing continuum theories starting from models of the interatomic interactions. This viewpoint has become extremely popular with the quasicontinuum method. The application of these ideas to carbon nanotubes presents a peculiarity with respect to usual crystalline materials: their structure relies on a two-dimensional curved lattice. This renders the cornerstone of crystal elasticity, the Cauchy–Born rule, insufficient to describe the effect of curvature. We discuss the application of a theory which corrects this deficiency to the mechanics of carbon nanotubes (CNTs). We review recent developments of this theory, which include the study of the convergence characteristics of the proposed continuum models to the parent atomistic models, as well as large scale simulations based on this theory. The latter have unveiled the complex nonlinear elastic response of thick multiwalled carbon nanotubes (MWCNTs), with an anomalous elastic regime following an almost absent harmonic range. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica |
dc.subject.lcsh | Nanotubes--Mathematical models |
dc.subject.other | Continuum mechanics |
dc.subject.other | Carbon nanotubes |
dc.subject.other | Finite elasticity |
dc.subject.other | Atomistic models |
dc.subject.other | Nanotube-based devices |
dc.title | Continuum mechanics modeling and simulation of carbon nanotubes |
dc.type | Article |
dc.subject.lemac | Nanotubs de carboni |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1007/s11012-005-2133-y |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s11012-005-2133-y |
dc.rights.access | Open Access |
local.identifier.drac | 799389 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Arroyo, M.; Belytschko, T. |
local.citation.other | The original publication is available at http://www.springerlink.com/content/y67618r501860067/ |
local.citation.publicationName | Meccanica |
local.citation.volume | 40 |
local.citation.number | 4-6 |
local.citation.startingPage | 455 |
local.citation.endingPage | 469 |
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