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| A higher order Cauchy-Born rule based constitutive model of SWNT |
| Revised:April 17, 2002 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20052028 |
| KeyWord:carbon nanotube,nanomechanics,Cauchy-Born rule,hyperelastic,constitutive model |
| GUO Xu WANG Jin-bao ZHNAG Hong-wu~* |
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| Abstract: |
| Based on the higher order Cauchy-Born rule, a constitutive model of SWNT is established. In the present model, by including the second order deformation gradient tensor in the kinematic description, the limitation of the standard Cauchy-Born rule for the modeling of nanoscale crystalline films can be alleviated with less computational efforts. Based on the established relationship between the atomic potential and the macroscopic continuum strain energy density, analytical expressions for the tangent modulus tensors are derived. With the use of this model and the Tersoff-Brenner atomic potential for carbon, the size dependent mechanical properties of carbon nanotube are predicted. The obtained results agree well with those obtained by other experimental, atomic modeling and continuum concept based studies. |
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