BUCKLING AND BENDING ANALYSES OF CANTILEVER CARBON NANOTUBES USING THE EULER-BERNOULLI BEAM THEORY BASED ON NON-LOCAL CONTINUUM MODEL

Euler-Bernoulli beam model based non-local elasticity theory is developed for the static and buckling analysis of cantilever carbon nanotubes (CNTs). The size effect is taken into consideration using the Eringen’s non-local elasticity theory. The derivation of governing equation of bending and buckling from the shear and moment resultants of the beam and stress-strain relationship of the one-dimensional non-local elasticity model is presented. Buckling and deflection values of CNTs are obtained and presented in graphical form. Numerical results are presented to show the small-scale effect on bending of CNTs.