Buckling of single-walled carbon nanotubes with and without defects

Abstract

This paper studies the buckling behavior of simply-simply supported Single-walled Carbon nanotubes (SWCNTs) with and without defects. The buckling of carbon nanotubes without defects was investigated using the Finite element method (FEM) and analytical treatment and that of carbon nanotubes with defects was studied only by FEM. The carbon nanotubes were modeled as beams and shells. Computations showed that beam elements in the given form provided varying results as shells in their numerical or analytical manner for a small aspect ratio. The defects resulted from the removal of randomly determined carbon atoms and beam elements connected to the nodes. The increasing number of defects decreased the critical buckling force of SWCNTs. The decrease in the critical buckling force was almost the same for SWCNTs with the same diameter but with different chirality.

Numerical Analysis of the Structural Stability of Ideal (Defect-Free) and Structurally and Morphologically Degenerated Homogeneous, Linearly- and Angle-Adjoined Nanotubes and Cylindrical Fullerenes Under Axial Loading Using Finite Element Method

“…Therefore, we also compared our FE outcome to the ones evaluated by other numerical approaches. Our results are to a great extent comparable to the ones obtained by Bocko and Lengvarský [2017] where they applied a shell beam theory and obtained the CBL of an armchair (6, 6) and a zigzag (10, 0) CNT in a very close range compared to our results (with the length of 15 nm).…”

“…Recent studies have shown that the use of the crystal-based finite element analysis method (FEM) for modeling of exclusively mechanical properties of small and very large single-body and multi-body (>1.0 × 105 atoms) structural models is becoming popular as the FEM approach offers significantly reduced computational time and lowers the demand for resources while rendering highly plausible simulation results. Crystal-based FEM is a versatile continuum mechanics approach used for predicting mechanical properties and deformation-induced crystallographic structures, and it can be applied to solving both elastic-plastic and purely elastic problems of multi-body systems [Ma et al, 2008] and complex CNT model structures [Wang et al, 2009[Wang et al, , 2016Faria et al, 2016;Litak, 2017;Robinson and Adali, 2017;Bocko and Lengvarský, 2017;Timesli et al, 2017;Hosseini-Hashemi and Ilkhani, 2017;Nishimura et al, 2017]. Investigation concerning the mechanical response and structural stability of these quasi-molecular systems is important, as such studies enable researchers to design and imitate the potential behavior of low-dimensional structures that bear close structural resemblance to nanostructured materials found in nature.…”

“…For the same types of SWCNT models, Robinson and Adali [2017] applied a nonlocal continuum mechanics approach by implementing constitutive modeling of the tubes with research results obtained for both the uniformly distributed and triangularly distributed axial loads. Bocko and Lengvarský [2017] conducted FEM studies on the buckling response of SWCNT models; they found that the structural stability of SWCNT models can be investigated by modeling these SWCNT systems as beam or shell structures and by applying an analytical shell theory. Hosseini-Hashemi and Ilkhani [2017] studied different types of structural instabilities for a spinning SWCNT models under combined loading by applying the Timoshenko and Euler-Bernoulli nonlocal beam theory [Biot, 1955;Cowper, 1966] in their analysis.…”

Buckling analysis of graphene nanosheets by the finite element method

“…The carbon atoms will be modelled as the nodes of the beam elements. The all data are collected and shown in Table 1 [6,7].…”

Buckling Analysis of Hetero-Junction Carbon Nanotubes

“…The carbon nanotubes were discovered by Iijima in 1991 [1]. From the discovery of nanostructures, their mechanical, thermal and electrical properties have been widely studied [1][2][3][4][5][6][7][8][9][10][11][12]. The buckling behaviour of carbon nanotubes is often studied because of their relative dimensionsthe nanotubes are relatively long with respect to their diameters and they have small wall thickness.…”