Variational solution for buckling of nonlocal carbon nanotubes under uniformly and triangularly distributed axial loads

2016 ◽  
Vol 156 ◽  
pp. 101-107 ◽  
Author(s):  
Mouafo Teifouet Armand Robinson ◽  
Sarp Adali
Keyword(s):  
Carbon Nanotubes ◽  
Variational Solution ◽  
Axial Loads

scholarly journals Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads

2019 ◽  
Vol 10 (1) ◽  
pp. 145-152
Author(s):  
Mouafo Teifouet Armand Robinson ◽  
Sarp Adali
Keyword(s):  
Carbon Nanotubes ◽  
Numerical Solutions ◽  
Ritz Method ◽  
Small Scale ◽  
Axial Loads ◽  
Weak Formulation ◽  
Compressive Loads ◽  
Method Of Solution ◽  
Elastically Restrained ◽  
Elastic Restraints

Abstract. Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are obtained for distributed and concentrated axial loads. Numerical solutions are obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials. The method of solution is verified by checking against results available in the literature. The effect of the elastic restraints on the buckling load is studied by counter plots in term of small-scale parameter and the spring constants.

CONNECTION OF SINGLE-WALLED CARBON NANOTUBES BY BANDAGING WITH A BIGGER RADIUS SINGLE-WALLED CARBON NANOTUBE

2009 ◽  
Vol 23 (07) ◽  
pp. 1005-1012 ◽  
Author(s):  
HAI-YANG SONG ◽  
MING-LIANG HU ◽  
XIN-WEI ZHA
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Molecular Dynamics ◽  
Single Walled Carbon Nanotubes ◽  
Axial Loads ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon ◽  
Rebo Potential ◽  
Dynamics Simulations ◽  
Walled Carbon Nanotubes

We report molecular dynamics studies of single-walled carbon nanotubes (SWCNT) as a bandage to connect separated SWCNTs for getting structures of random length. The mechanical properties of the connected SWCNT strands with different joint length under axial loads are investigated using the classical molecular dynamics simulations method. The interaction between atoms is modeled using the second-generation of reactive empirical bond-order (REBO) potential coupled with the Lennard–Jones (L–J) potential. The mechanical properties, such as Young's modulus, tensile strength, critical buckling strains and critical buckling loads are determined and presented for SWCNT and connected SWCNT strands. The results indicates that the joints made in this way have relatively high mechanical properties corresponding to that of the ideal SWCNTs.

scholarly journals Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads

2017 ◽  
Vol 8 (2) ◽  
pp. 299-305 ◽  
Author(s):  
Mouafo Teifouet Armand Robinson ◽  
Sarp Adali
Keyword(s):  
Carbon Nanotubes ◽  
Cross Sections ◽  
Scale Parameter ◽  
Ritz Method ◽  
Constitutive Modelling ◽  
Small Scale ◽  
Axial Loads ◽  
Weak Formulation ◽  
Method Of Solution ◽  
Contour Plots

Abstract. Buckling of nonuniform carbon nanotubes are studied with the axial load taken as a combination of concentrated and axially distributed loads. Constitutive modelling of the nanotubes is implemented via nonlocal continuum mechanics. Problem solutions are obtained by employing a weak formulation of the problem and the Rayleigh-Ritz method which is implemented by using orthogonal Chebyshev polynomials. The accuracy of the method of solution is verified against available results. Solutions are obtained for the cases of uniformly distributed and triangularly distributed axial loads. Contour plots are given to assess the effect of nonuniform cross-sections and the small-scale parameter on the buckling load for a combination of simply supported, clamped and free boundary conditions.

Structural phenomena in the growth of carbon nanotubes

1993 ◽  
Vol 51 ◽  
pp. 750-751
Author(s):  
Jun Jiao
Keyword(s):  
Carbon Nanotubes ◽  
Growth Mechanism ◽  
Carbonaceous Material ◽  
Cluster Growth ◽  
Structural Elements ◽  
Rich Variety ◽  
Different Shapes ◽  
Point To Point

HREM studies of the carbonaceous material deposited on the cathode of a Huffman-Krätschmer arc reactor have shown a rich variety of multiple-walled nano-clusters of different shapes and forms. The preparation of the samples, as well as the variety of cluster shapes, including triangular, rhombohedral and pentagonal projections, are described elsewhere.The close registry imposed on the nanotubes, focuses attention on the cluster growth mechanism. The strict parallelism in the graphitic separation of the tube walls is maintained through changes of form and size, often leading to 180° turns, and accommodating neighboring clusters and defects. Iijima et. al. have proposed a growth scheme in terms of pentagonal and heptagonal defects and their combinations in a hexagonal graphitic matrix, the first bending the surface inward, and the second outward. We report here HREM observations that support Iijima’s suggestions, and add some new features that refine the interpretation of the growth mechanism. The structural elements of our observations are briefly summarized in the following four micrographs, taken in a Hitachi H-8100 TEM operating at an accelerating voltage of 200 kV and with a point-to-point resolution of 0.20 nm.

Cytotoxicity and internalization of single-wall carbon nanotubes in human umbilical vein endothelial cells

2010 ◽  
Vol 34 (8) ◽  
pp. S72-S72
Author(s):  
Xue Bin Yan ◽  
Li Gan ◽  
Dong Huang ◽  
Ke Chao Zhou
Keyword(s):  
Carbon Nanotubes ◽  
Endothelial Cells ◽  
Umbilical Vein ◽  
Single Wall Carbon Nanotubes ◽  
Human Umbilical Vein ◽  
Single Wall Carbon ◽  
Umbilical Vein Endothelial Cells

Carbon nanotubes

AccessScience ◽  
2015 ◽  
Keyword(s):  
Carbon Nanotubes

Carbon nanotubes: Logical switch

2009 ◽  
Keyword(s):  
Carbon Nanotubes

Carbon nanotubes: Hot display

2009 ◽  
Vol 1 (1) ◽  
pp. 9-9
Keyword(s):  
Carbon Nanotubes

Carbon nanotubes: Twist 'n' roll

Nature China ◽  
2007 ◽  
Author(s):  
Rachel Pei Chin Won
Keyword(s):  
Carbon Nanotubes
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