Abstarct: In this thesis, the structural model in ABAQUS software to analyze the failure parameters of a carbon nanotube, including the energy release rate used. In this structural model a nonlinear connector is considered for modeling of stretching and torsional interactions, and a nonlinear spring is used for modeling of the angle variation interactions. The present model is constructed in the CAE environment of, so there is no need to programing for different loading and boundary conditions. Every feature of the software in the analysis of mechanical problems has to be imposed on carbon nanotube. In this thesis, the maximum stress and strain and the effect of defects on the stress and strain is investigated. Also crack the nanotube simulation, and energy release rate it according to various parameters such as geometry, type and mode of loading, boundary conditions and chirality carbon nanotubes have been studied. Also energy release rate from tow method LEFM for continuous model and energy method obtained and compared with each other; the results coincide reasonably well with each other.