Abstract2018-05-24T12:52:58+00:00

Continuum mechanics modeling and simulation of carbon nanotubes

Author (s): Marino Arroyo and Ted Belytschko
Journal: Meccanica

Volume: 40, Issues 4-6
Pages: 455 – 469
Date: 2005

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 e ffect of curvature. We discuss the application of a theory which
corrects this deficiency to the mechanics of carbon nanotubes. 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, with an anomalous elastic regime following an almost absent harmonic range.

  
  

Bibtex:

@Article{ref1,
author="Arroyo, M. and Belytschko, T.",
title="Continuum Mechanics Modeling and Simulation of Carbon Nanotubes",
journal="Meccanica",
volume="40",
number="4",
pages="455--469",
issn="1572-9648",
doi="10.1007/s11012-005-2133-y",
url="http://dx.doi.org/10.1007/s11012-005-2133-y"
}