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  • A Cosserat rod model with microstructure

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    Author(s)
    Gould, Tim
    Burton, David A
    Griffith University Author(s)
    Gould, Tim J.
    Year published
    2006
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    Abstract
    A novel continuum mechanical model of long, flexible, hollow tubes is developed using the Cosserat theory of rods and used to study the mechanics of carbon nanotubes. By adding 'microstructure' to a Cosserat rod, analyses of tubes with deformable cross-sections are permitted. To facilitate the analysis, an approximation is introduced that reduces the infinite number of microstructural degrees of freedom to one complex scalar field. The Cosserat rod and microstructure system is solved both numerically and analytically.A novel continuum mechanical model of long, flexible, hollow tubes is developed using the Cosserat theory of rods and used to study the mechanics of carbon nanotubes. By adding 'microstructure' to a Cosserat rod, analyses of tubes with deformable cross-sections are permitted. To facilitate the analysis, an approximation is introduced that reduces the infinite number of microstructural degrees of freedom to one complex scalar field. The Cosserat rod and microstructure system is solved both numerically and analytically.
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    Journal Title
    New Journal of Physics
    Volume
    8
    Publisher URI
    http://journals.iop.org/
    DOI
    https://doi.org/10.1088/1367-2630/8/8/137
    Copyright Statement
    © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
    Subject
    Physical Sciences
    Publication URI
    http://hdl.handle.net/10072/21510
    Collection
    • Journal articles

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