Single-Walled Nanotubes as Kirchhoff Elasticas

Agnihotri, Prabhat; Basu, S.

doi:10.1142/s1758825110000822

Cited by 7 publications

(3 citation statements)

References 36 publications

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“…The paragraph below presents some of the most recent findings on simulated mechanical properties of SWCNT structural systems. Agnihotri and Basu [2010] conducted an MD simulation to investigate if a very long SWCNT can be modeled as a Kirchhoff's elastica with a small initial twist. They also indicated that the post-buckling deformation of the low-dimensional structures is strongly affected by the length, diameter and chirality of the nanostructures.…”

Section: Introductionmentioning

confidence: 99%

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

Yengejeh

Öchsner

Kazemi

et al. 2018

Int. J. Appl. Mechanics

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We report on the structural stability of ideal (defect-free) and structurally and morphologically degenerate carbon nanotubes and nanotube junction systems under axial loading based on the finite element method. We estimated the values for critical buckling load for uncapped and capped single-walled carbon nanotubes (SWCNTs) and linear and angle-adjoined SWCNT heterojunctions in ideal and structurally degenerate systems containing single-, double-, triple-, pinhole- and pentagon–heptagon (i.e., 5–7) structural defects and also containing a substitutional nitrogen (N) atom inclusion under compressive loading. Absolute atomic vacancy (defect) concentration in studied SWCNTs models was assumed to be nil for ideal systems, and was up to 3.0 at.% for structurally and morphologically degenerate systems. It was found that all types of structural defects and the morphological N-defect had reduced the load carrying capacity and mechanical strength in all SWCNT systems studied. The SWCNT models containing physically large vacant sites, such as triple- and pinhole-defects, displayed significantly lower critical load values compared to the systems that contained only a single-, double- or triple-vacancies. In addition, we found that capped SWCNTs performed marginally better in critical load carrying capacity compared to uncapped SWCNT systems. Furthermore, majority of the investigated structures displayed reduced load in SWCNTs with narrower tube widths, proportional to the size and the type of the defect investigated. The effects of chirality, such as zigzag- versus armchair-type, on the structural stability of the investigated SWCNT models were also investigated.

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Section: Introductionmentioning

confidence: 99%

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

Yengejeh

Öchsner

Kazemi

et al. 2018

Int. J. Appl. Mechanics

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“…The Kirchhoff model of elastica was developed by Agnihotri and Basu [2010] in order to study the postbuckling behavior of very long length carbon nanotubes in the case of folded and coiled configurations.…”

Section: Introductionmentioning

confidence: 99%

Postbuckling of Unknown-Length Nanobeam Considering the Effects of Nonlocal Elasticity and Surface Stress

Thongyothee

Chucheepsakul

2015

Int. J. Appl. Mechanics

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The objective of this paper is to study the postbuckling behaviors of an unknown-length nanobeam combined with small-scale effects. The concept of variable-arc-length elastica is firstly applied on the problem of nanobeams. The span length is not changed while the arc length is varied increasingly. The nanobeam is on a clamped support at one end, while the other end is an overhanging part through a frictionless slot subjected to axial compression. At this end, the nanobeam is movable only in a horizontal direction. The governing equation is developed by the moment-curvature relationship based on the classical Euler-Bernoulli beam theory, including the effects of nonlocal elasticity, residual surface stress, and both combined effects. The shooting-optimization technique with two-point boundary condition is employed to solve the differential equations in this problem. The results, including nonlocal elasticity, reveal that nanobeams have decreased structural stiffness; meanwhile, the residual surface tension and both combined effects have increased strength. The postbuckling loads decrease as the arc length of nanobeams is increased. The equilibrium configurations are close to an anti-loop for very large deflections. The friction force at the nanoslot is also considered.

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“…In the Type II shell model, the equilibrium equations are derived by minimizing the total potential energy of the CNT. [9][10][11][12][13][14][15] Researchers have also incorporated nonlocal e®ects in Type I continuum shell models for CNT. The nonlocal parameters for CNT are calibrated from MD simulation results.…”

Section: Introductionmentioning

confidence: 99%

Continuum Shell Model for Buckling of Single-Walled Carbon Nanotubes with Different Chiral Angles

Chowdhury

Wang

Koh

2014

Int. J. Str. Stab. Dyn.

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In this paper, an equivalent thick cylindrical shell model is proposed for the buckling analysis of short single-walled carbon nanotubes (SWCNTs) with allowance for di®erent chiral angles. Extensive, molecular dynamics (MD) simulations are¯rst performed using the adaptive intermolecular reactive bond order potential to determine the critical buckling loads/strains. The MD simulations buckling results are then used as reference solutions to calibrate the properties of the thick cylindrical shell model. Central to this development is the establishment of an empirical expression for the Young's modulus that is a function of both the diameter and the chiral angle of the SWCNT. For the shell model, we have assumed that the Poisson ratio ¼ 0:19 and the shell thickness h ¼ 0:066 nm. It will be shown that the proposed shell model furnishes good estimates of the critical buckling loads for SWCNTs with di®erent chiral angles. The critical buckling strains are also evaluated from the critical buckling load with the aid of the stress-strain relation of SWCNTs.

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Single-Walled Nanotubes as Kirchhoff Elasticas

Cited by 7 publications

References 36 publications

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

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

Postbuckling of Unknown-Length Nanobeam Considering the Effects of Nonlocal Elasticity and Surface Stress

Continuum Shell Model for Buckling of Single-Walled Carbon Nanotubes with Different Chiral Angles

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