Abstract Submitted to the ; NANOTUBE'05 Conference:

Exceptional mechanical, electrical, transport, optical, electronics, properties of carbon nanotubes (CNTs) and their nanoscale sizes, reflect attention of many researchers from the world. It is interesting to be mentioned, that these nanomaterials have extraordinary mechanical properties (high stiffness and axial strength, high Young’s modulus), [1,2], “as a result of their samples cylindrical graphitic structure, [3]”. The aim of the work presented can be formulated as follows: to give a modified model for numerical simulations of elasticity moduli of different carbon nanotubes samples. On the basis of observations by transmission electron microscopy (TEM) at room temperature and assuming that nanotube is equivalent to a clamped homogeneous cylindrical cantilever beam, paper [3], a modified model has been developed. Numerical algorithm and numerical FORTRAN programs, designed by authors, have been used for conducting of numerical simulations. Formulas for elasticity moduli, as functions of geometry of tube (length, outer and inner diameters), temperature, vibration energy for different individual nanotubes has been obtained. Graphics of temperature, versus mean-square vibration amplitude have been given as well. As conclusion could be mentioned, that the programs work very easy and quickly because of their universal character. The comparison between numerical results obtained, and the results in [3], shows a very good coincidence.

REFERENCES
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[3]. M. M. Treacy, T. W. Ebbesen and J. M. Gibson, Exceptionally high Young’s modulus observed for individual carbon nanotubes, Nature, vol. 381, (1996) 678-680