Buckling behavior of carbon nanotubes under bending: From ripple to kink

Wang, C.G.; Liu, Y.P.; Al-Ghalith, Jihong; Dumitrică, Traian; Wadee, M. Ahmer; Tan, Huifeng

doi:10.1016/j.carbon.2016.02.041

Cited by 43 publications

(16 citation statements)

References 52 publications

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“…Although most work on this behavior is dealing with SWNCTs (see, e.g. (see, e.g., [ 34 ], where the buckling behavior of SWCNTs under bending was studied), several works were dedicated to MWCNTs, mainly the typical buckling mode, which makes the nanotube to curve when subjected to a compressive load greater than a certain critical load [ 35 , 36 , 37 , 38 ]. Chang et al [ 36 ], based on a molecular mechanics model, pointed out two possible MWCNTs buckling modes: (i) the buckling occurring only on the outer wall (for MWCNTs with larger outer diameters) and (ii) the buckling occurring simultaneously on all individual layers (for MWCNTs with smaller outer diameters), depending on the values of the critical buckling strain, in each mode.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Characterization of Multiwalled Carbon Nanotubes: Numerical Simulation Study

et al. 2020

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The elastic properties of armchair and zigzag multiwalled carbon nanotubes were investigated under tensile, bending, and torsion loading conditions. A simplified finite element model of the multiwalled carbon nanotubes, without taking into account the van der Waals interactions between layers, was used to assess their tensile, bending, and torsional rigidities and, subsequently, Young’s and shear moduli. Relationships between the tensile rigidity and the squares of the diameters of the outer and inner layers in multiwalled carbon nanotubes, and between the bending and torsional rigidities with the fourth powers of the diameters of the outer and inner layers, were established. These relationships result in two consistent methods, one for assessment to the Young’s modulus of armchair and zigzag multiwalled carbon nanotubes, based on tensile and bending rigidities, and the other to evaluate shear modulus using tensile, bending, and torsional rigidities. This study provides a benchmark regarding the determination of the mechanical properties of nonchiral multiwalled carbon nanotubes by nanoscale continuum modeling approach.

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Section: Introductionmentioning

confidence: 99%

Mechanical Characterization of Multiwalled Carbon Nanotubes: Numerical Simulation Study

et al. 2020

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“…In most cases, continuum mechanics and linear elasticity theory was applied [25,[27][28][29] and Young's modulus values were approximated by bending modulus values for infinitesimal deflection. Some authors also included and discussed non-linear rippling and buckling effects [30][31][32][33][34] that introduce deviations from the continuum mechanics approach. For many commercially available, industrially relevant CNT types however, the bending modulus is still not reliably known.…”

Section: Introductionmentioning

confidence: 99%

Measurement of Flexural Rigidity of Multi-Walled Carbon Nanotubes by Dynamic Scanning Electron Microscopy

Fortini

Meyer‐Plath

Kehren

et al. 2020

Fibers

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In this work the flexural rigidity of individual large diameter multi-walled carbon nanotubes (MWCNTs) was investigated. The bending modulus were obtained by detecting the resonance frequencies of mechanically excited cantilevered carbon nanotubes using the so-called dynamic scanning electron microscopy technique, and applying the Euler–Bernoulli beam theory. For the nanotubes studied, we determined a modulus of up to 160 GPa. This agrees with values reported by other authors for MWCNTs produced by catalytic chemical vapor deposition, however, it is 6-8 times smaller than values reported for single and multi-walled carbon nanotubes produced by arc-discharge synthesis. Toxicological studies with carbon nanotubes have been showing that inhaled airborne nanofibers that reach the deep airways of the respiratory system may lead to serious, asbestos-like lung diseases. These studies suggested that their toxicity critically depends on the fiber flexural rigidity, with high rigidity causing cell lesions. To complement the correlation between observed toxicological effects and fiber rigidities, reliable and routinely applicable measurement techniques for the flexural rigidity of nanofibers are required.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…Their equivalent shell model gave a reasonable estimate of the critical buckling load (CBL)/strain and critical buckling torque with respect to the MD results. Wang et al [2016] investigated the buckling response of SWCNTs under bending loads and found low-and high-strain phases in SWCNT models. The SWCNTs were simulated as thin-wall, circular, crystal systems and the governing equations have been solved by employing a continuation algorithm.…”

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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Buckling behavior of carbon nanotubes under bending: From ripple to kink

Cited by 43 publications

References 52 publications

Mechanical Characterization of Multiwalled Carbon Nanotubes: Numerical Simulation Study

Mechanical Characterization of Multiwalled Carbon Nanotubes: Numerical Simulation Study

Measurement of Flexural Rigidity of Multi-Walled Carbon Nanotubes by Dynamic Scanning Electron Microscopy

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

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