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Mechanics of Carbon Nanotubes: A Continuum Theory Based on Interatomic Potentials

Journal Key Engineering Materials (Volumes 340 - 341)
Volume Engineering Plasticity and Its Applications
Edited by N. Ohno and T. Uehara
Pages 11-20
DOI 10.4028/www.scientific.net/KEM.340-341.11
Online since June, 2007
Authors Han Qing Jiang, Keh Chih Hwang, Young Huang
Keywords Carbon Nanotube (CNT), Continuum Theory, Interatomic Potential, Nanomechanics
Abstract It is commonly believed that continuum mechanics theories may not be applied at the nanoscale due to the discrete nature of atoms. We developed a nanoscale continuum theory based on interatomic potentials for nanostructured materials. The interatomic potential is directly incorporated into the continuum theory through the constitutive models. The nanoscale continuum theory is then applied to study the mechanical deformation and thermal properties of carbon nanotubes, including (1) pre-deformation energy; (2) linear elastic modulus; (3) fracture nucleation; (4) defect nucleation; (5) electrical property change due to mechanical deformation; (6) specific heat; and (7) coefficient of thermal expansion. The nanoscale continuum theory agrees very well with the experiments and atomistic simulations without any parameter fitting, and therefore has the potential to be utilized to complex nanoscale material systems (e.g., nanocomposites) and devices (e.g., nanoelectronics).
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