Abstract
In this investigation, a modified mechanical model considering the environmental temperature is established based on a method of molecular structural mechanics. It is assumed that the covalent bonds are traded as a truss, and the boundary condition range is taken into account. The relations of Young's modulus and shear modulus with different diameters of carbon nanotubes are also predicted. Moreover, according to the principle of elastic theory, the Young's modulus, Poisson's ratio and strain energy of both zigzag and armchair carbon nanotubes are also investigated. The influences of temperature and nanotube diameter on elastic properties are significant, and the elastic modulus of multi-walled carbon nanotubes is not only sensitive to the number of layers, but also sensitive to the tube wall thickness.
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