Ranges of Applicability for the Continuum-beam Model in the Constitutive Analysis of Carbon Nanotubes : Nanotubes or Nano-beams?.
- Author:
- Bushnell, Dennis M.
- Published:
- May 2001.
- Physical Description:
- 1 electronic document
- Additional Creators:
- Harik, Vasyl Michael
Online Version
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- Restrictions on Access:
- Unclassified, Unlimited, Publicly available.
Free-to-read Unrestricted online access - Summary:
- Ranges of validity for the continuum-beam model, the length-scale effects and continuum assumptions are analyzed in the framework of scaling analysis of NT structure. Two coupled criteria for the applicability of the continuum model are presented. Scaling analysis of NT buckling and geometric parameters (e.g., diameter and length) is carried out to determine the key non-dimensional parameters that control the buckling strains and modes of NT buckling. A model applicability map, which represents two classes of NTs, is constructed in the space of non-dimensional parameters. In an analogy with continuum mechanics, a mechanical law of geometric similitude is presented for two classes of beam-like NTs having different geometries. Expressions for the critical buckling loads and strains are tailored for the distinct groups of NTs and compared with the data provided by the molecular dynamics simulations. Implications for molecular dynamics simulations and the NT-based scanning probes are discussed.
- Other Subject(s):
- Collection:
- NASA Technical Reports Server (NTRS) Collection.
- Note:
- Document ID: 20010067589.
NAS 1.26:211013.
ICASE-2001-16.
NASA/CR-2001-211013. - Terms of Use and Reproduction:
- No Copyright.
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