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SUMMARY:Structures Continuum mechanics and mesoscopic modeling and simulat
 ion of carbon nanotubes - Marino Arroyo (Universitat Politecnica de Catalu
 nya)
DTSTART:20061124T150000Z
DTEND:20061124T160000Z
UID:TALK5949@talks.cam.ac.uk
CONTACT:Nami Norman
DESCRIPTION:The understanding of the mechanics of atomistic systems greatl
 y benefits from continuum mechanics. One appealing approach aims at deduct
 ively constructing continuum theories starting from models of the interato
 mic interactions. This viewpoint has become extremely popular with the qua
 sicontinuum method. The application of these ideas to carbon nanotubes pre
 sents a peculiarity with respect to usual crystalline\nmaterials: their st
 ructure relies on a two-dimensional curved lattice. This renders the corne
 rstone of crystal elasticity\, the Cauchy-Born rule\, insufficient to desc
 ribe the effect of curvature. We discuss the application of a theory which
  corrects this deficiency to the mechanics of carbon nanotubes [1\,2\,3]. 
 We review recent developments of this theory\, which include the study of 
 the convergence characteristics of the proposed continuum models to the pa
 rent atomistic models\, as well as large scale simulations based on this t
 heory. The latter have unveiled the complex nonlinear elastic response of 
 thick multiwalled carbon nanotubes (MWCNTs)\, with an anomalous elastic re
 gime following an almost absent harmonic range. We propose a further level
  of model upscaling\, by constructing mesoscopic beam models to describe t
 hick MWCNTs\, which encode the essential complexity arising from the multi
 -layer structure\, the short-range atomistic interactions\, and the van de
 r Waals interactions.\n\n[1] Marino Arroyo and Ted Belytschko\, “An atom
 istic-based finite deformation membrane for single layer crystalline films
 ”\, Journal of the Mechanics and Physics of Solids 50:1941-1977 (2002).\
 n\n[2] Marino Arroyo and Ted Belytschko\, “Nonlinear mechanical response
  and rippling of thick multi-walled carbon nanotubes”\, Physical Review 
 Letters\, 91:215505 (2003)\n\n[3] Marino Arroyo and Ted Belytschko\, “Fi
 nite element analysis of the nonlinear mechanics of carbon nanotubes”\, 
 International Journal for Numerical Methods in Engineering\, 59:419-456 (2
 004).\n \n 
LOCATION:Engineering Department - LR6
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