Mechanical Properties of the Carbon Nano-Tube with Finite Element Method
Date Issued
2009
Date
2009
Author(s)
Liu, Yu-Hsuan
Abstract
In the study, the energy curve of carbon-carbon bonding is expressed. Then, the mechanical properties such as Young’s modulus, shear modulus and nature frequencies of nano-tubes are investigated by structural mechanics. Further, the nano-tubes including armchair, zigzag and chiral are described in the study. The nano-tube is shaped from rolling graphite lattice. The relation between lattice vectors and radius of nano-tube had been calculated. Thus, the bonding angles and length of nano-tube with various radiuses could be estimated by the relation. In the results, if the radius of nano-tube is large, the bonding angles and length of nano-tube is very close to those of graphite sheet. Moreover, the bonding parameters of nano-tube with various radiuses are also evaluated by Tersoff’s potential energy Equations. Therefore, the molecule mechanics and structural mechanics can be cooperated from the energy function. Furthermore, the FEM software, ANSYS, is used in simulation. In the numerical results, if the radius of a nano-tube is large, the Young’s modulus and shear modulus will tend to constants. Further, the nature frequencies of nano-tube, from the first mode to the eighth, had been also calculated in the study. In the results, the nature frequencies of nano-tube could vary with the change of the radius of nano-tube.
Subjects
shear modulus
molecule mechanics
structural mechanics
carbon nanotube
Type
thesis
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