Buckling of Carbon Nanotubes: A State of the Art Review

Shima, Hiroyuki

doi:10.3390/ma5010047

Cited by 115 publications

(81 citation statements)

References 193 publications

(432 reference statements)

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“…They validated it from vanishing of the eigenvalue of the Hessian for symmetrically defective and short SWCNTs. We note that Shima 35 has provided an exhaustive review of buckling of CNTs.…”

Section: Introductionmentioning

confidence: 99%

Buckling of single-walled carbon nanotubes using two criteria

Gupta

Agrawal

Batra

2016

Journal of Applied Physics

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We use molecular mechanics simulations with the MM3 potential to study instabilities in clampedclamped single-walled carbon nanotubes (SWCNTs) deformed in torsion and axial compression. The following are the two criteria employed to find the critical buckling strain: (i) a sudden drop in the potential energy and (ii) an eigenvalue of the mass weighted Hessian of the deformed configuration becoming zero. The instability under axial compression is investigated for zigzag and armchair SWCNTs, and that under torsional deformations is also studied for chiral tubes. In general, values of critical strains from the 2nd criterion are found to be substantially less than those from the 1st criterion. For chiral SWCNTs, the critical strains from the 2nd criterion and the potential energies at the onset of instability markedly depend upon the twisting direction. Values of buckling strains predicted from the column and the shell buckling theories are found to agree well with those obtained using the 2nd criterion. Published by AIP Publishing.

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Section: Introductionmentioning

confidence: 99%

Buckling of single-walled carbon nanotubes using two criteria

Gupta

Agrawal

Batra

2016

Journal of Applied Physics

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“…Such a behavior has been observed both in macroscopic (see, e.g., Ref. 21) and mesoscopic 22 systems. Again, this peculiar behavior poses big troubles to engineers since the load-carrying capacity of structures is significantly affected by the presence of physical imperfections that may lead to catastrophic failures, even in the case of small loads.…”

Section: A Motivationmentioning

confidence: 83%

Peptide-induced membrane curvature in edge-stabilized open bilayers: A theoretical and molecular dynamics study

Pannuzzo

Raudino

Böckmann

2014

The Journal of Chemical Physics

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Peptide-or protein-induced curvatures of lipid membranes may be studied in molecular dynamics (MD) simulations. In these, membranes are usually modeled as infinitely extended bilayers by using periodic boundary conditions. However, the enforced periodicity results in an underestimation of the bending power of peptides, unless the patch size is much larger than the induced curvature radii. In this letter, we propose a novel approach to evaluate the bending power of a given distribution and/or density of peptides based on the use of flat open-edged lipid patches. To ensure long-lived metastable structures, the patch rim is stabilized in MD simulations by a local enrichment with short-chain lipids. By combining the theory of continuum elastic media with MD simulations, we prove that open-edged patches evolve from a planar state to a closed vesicle, with a transition rate that strongly depends on the concentration of lipid soluble peptides. For close-to-critical values for the patch size and edge energy, the response to even small changes in peptide concentration adopts a transition-like behavior (buckling instability). The usage of open-edged membrane patches amplifies the bending power of peptides, thereby enabling the analysis of the structural properties of membrane-peptide systems. We applied the presented method to investigate the curvature induced by aggregating β -amyloid peptides, unraveling a strong sensitivity of membrane deformation to the peptide concentration.

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“…To date, many intriguing post-buckling morphologies of nanotubes have been widely predicted in theory and observed in experiments (Shima 2012): local kinks in bent single-walled nanotubes (Iijima 1996), rippling or Yoshimura (diamond-shaped) patterns in tens-walled nanotubes (Arroyo 2003), and radial corrugation patterns under axially symmetric load (Shima et al 2010;. One of the most outstanding features of post-buckling nanotubes is their remarkable buckling capacity.…”

Section: Elastic Buckling and Resiliencementioning

confidence: 99%

Elastic and Plastic Deformation of Carbon Nanotubes

Sato

2013

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Can you imagine a material that is many times stronger than steel, yet flexible when bent or twisted, that withstands ultrahigh heat, and that conducts heat better than diamond? Does this dream material really exist? Yes. "Carbon nanotubes." The excellent mechanical properties of nanotubes include an extremely high Young's modulus (ca. 1 TPa) and tensile strength (50 GPa or higher), whose values are several times higher than those of steel. Furthermore, since its specific gravity is less than one-tenth that of steel, it offers 100 times larger mechanical strength than steel with the same weight. Another characteristic of nanotubes is their extreme flexibility to bending and twisting deformation. It was experimentally confirmed that a nanotube returns to its original shape like a rubber hose even when the entire tube is twisted or bent until it is warped.In this contribution, we will give a comprehensive overview of the research progress to date, focusing on the mechanical properties of carbon nanotubes. The first half examines minute deformations in the elastic region; the latter half takes a closer look at the plastic deformation of nanotubes under extreme conditions including giant deformation, high temperature and pressure and electron beam irradiation.

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Buckling of Carbon Nanotubes: A State of the Art Review

Cited by 115 publications

References 193 publications

Buckling of single-walled carbon nanotubes using two criteria

Buckling of single-walled carbon nanotubes using two criteria

Peptide-induced membrane curvature in edge-stabilized open bilayers: A theoretical and molecular dynamics study

Elastic and Plastic Deformation of Carbon Nanotubes

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