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Ranges of applicability for the continuum beam model in the mechanics of carbon nanotubes and nanorodsLimitations in the validity of the continuum beam model for carbon nanotubes (NTs) and nanorods are examined. Applicability of all assumptions used in the model is restricted by the two criteria for geometric parameters that characterize the structure of NTs. The key non-dimensional parameters that control the NT buckling behavior are derived via dimensional analysis of the nanomechanical problem. A mechanical law of geometric similitude for NT buckling is extended from continuum mechanics for different molecular structures. A model applicability map, where two classes of beam-like NTs are identified, is constructed for distinct ranges of non-dimensional parameters. Expressions for the critical buckling loads and strains are tailored for two classes of NTs and compared with the data provided by the molecular dynamics simulations. copyright 2001 Elsevier Science Ltd. All rights reserved.
Document ID
20020006635
Acquisition Source
Langley Research Center
Document Type
Reprint (Version printed in journal)
Authors
Harik, V. M.
(NASA Langley Research Center Hampton, VA United States)
Date Acquired
August 20, 2013
Publication Date
October 16, 2001
Publication Information
Publication: Solid State Communications
Volume: 120
Issue: 7-8
ISSN: 0038-1098
Subject Category
Solid-State Physics
Distribution Limits
Public
Copyright
Other
Keywords
Continuum beam model
Carbon nanorods

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