The existence of defects in nanostructures has a significant influence on their mechanical properties. A nonlinear finite element model of single-walled carbon nanotube without and with atom vacancy defects is presented. The numerical efficient formulation for carbon nanotubes is discussed considering the geometry, together with a finite element discretization, including the atomic potential. The effective mechanical properties are evaluated based on the homogenization theory. The results for pristine and defective single-walled carbon nanotube are presented in the form of stress-strain curves. Vacancy defects noticeably reduce the failure stresses and failure strains.
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