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The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials
Institution:1. School of Mechanical Engineering, Shiraz University, Shiraz, 71963-16548, Iran;2. Department of Medical Physics and Biomedical Engineering, School of Medicine, Shahid Beheshti University of Medical Sciences, Tehran, Iran;3. The Physics Branch of the Iran Academy of Sciences, Tehran, Iran
Abstract:A nanoscale continuum theory is established to directly incorporate interatomic potentials into a continuum analysis without any parameter fitting. The theory links interatomic potentials and atomic structure of a material to a constitutive model on the continuum level. The theory is applied to study the linear elastic modulus of a single-wall carbon nanotube. The Young's modulus predicted by this nanoscale continuum theory agrees well with prior experimental results and atomistic studies.
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