Deformations and Tensile Fracture of Carbon Nanotubes Based on the Numerical Homogenization

Abstract

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.

Design of Reinforcement in Nano- and Microcomposites

“…Here, the attention is focused on the characterization of elastic properties of epoxy nanocomposites with a small amount of carbon nanotubes involving FE modeling contrasted with classical micromechanical approaches. The present calculations consider our earlier studies on nanostructures [23,32,56,57,58,59,60] and nanocomposites [20,24,25,31]. The topic of polymeric nanocomposites with carbon nanotubes (CNTs) is widely discussed.…”

“…Aboudi [18] has presented a unified micromechanical theory using interacting periodic cells to predict the overall behavior of composites. The homogenization is also applied in the characterization of nanocomposites [19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34].…”

Buckling and Free Vibrations of Nanoplates—Comparison of Nonlocal Strain and Stress Approaches

“…Currently, a monographic elaboration of nonlocal elasticity approaches is presented by Ghavanloo et al [56]. The problem of mechanical properties of nanostructures and nanocomposites in local and nonlocal regime was also previously considered by authors [57][58][59][60][61][62][63][64][65][66].…”