Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes

Shima, Hiroyuki; Ghosh, Susanta; Arroyo, Marino; Iiboshi, Kohtaroh; Sato, Motohiro

doi:10.1016/j.commatsci.2011.04.005

Cited by 25 publications

(15 citation statements)

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“…Owing to their nanometric scales, similarities and differences in buckled patterns compared with macroscopic counterparts should not be trivial at all. This complexity has motivated tremendous efforts toward the buckling analysis of carbon nanotubes under diverse loading conditions: axial compression [18,19,20,21,22,23,24,25,26,27,28], radial compression [29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63], bending [41,64,65,66,67,68,69,70,71], torsion [72,73,74,75,76,77], and their certain combinations [78,79<...>…”

Section: Background Of Nanotube Buckling Researchmentioning

confidence: 99%

Buckling of Carbon Nanotubes: A State of the Art Review

Shima

2011

Materials

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107

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The nonlinear mechanical response of carbon nanotubes, referred to as their “buckling" behavior, is a major topic in the nanotube research community. Buckling means a deformation process in which a large strain beyond a threshold causes an abrupt change in the strain energy vs. deformation profile. Thus far, much effort has been devoted to analysis of the buckling of nanotubes under various loading conditions: compression, bending, torsion, and their certain combinations. Such extensive studies have been motivated by (i) the structural resilience of nanotubes against buckling and (ii) the substantial influence of buckling on their physical properties. In this contribution, I review the dramatic progress in nanotube buckling research during the past few years.

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Section: Background Of Nanotube Buckling Researchmentioning

confidence: 99%

Buckling of Carbon Nanotubes: A State of the Art Review

Shima

2011

Materials

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107

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“…Due to their nanometricscales, nevertheless, similarities and differences in mechanics of MWNTs compared with macroscopic counterparts are nottrivial at all (Shima and Sato [14]). This complexity has motivated tremendous efforts toward the buckling analysis of MWNTs under radial compression (Pantano et al [15]; Shima and Sato [16]; Shima et al [17]; Huang et al [18]; Shima et al [19]). …”

Section: Introductionmentioning

confidence: 99%

Stiffener Insertion Based Variance in Radial Stiffness of Multi-Concentric Hollow Tubes

2013

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Shell theory solutions for radial buckling of multiply-concentric hollow cylinders are presented. Multicylindrical systems are those composed of two or more concentically mounted hollow tubes, wherein the annular space mediates inter-tube forces, attractive or repulsive depending on structural details of composites. Reflecting the multiple core-shell structures, the systems often exhibit peculiar radial buckling modes, which should be relevant to macro scale applications for deep water oil and gas transportation andmicroscale realization in lipid bilayer tubes. In this article, we focus on an illustrative example of such the multiplytubular systems with nanometric dimension, the so-called multiwalled carbon nanotubes (MWNTs). Theoretical analysis based on a thin shell theory allows us to find anomalous radial buckling behaviors of MWNTs driven by hydrostatic pressure. The obtained buckling modes are characterized by petal-like wavy cross sections, which is what we call the radial corrugation of MWNTs. An important observation is the mechanical consequence of stiff core-tube insertion into the innermost hollow region of a given MWNT. The insertion results in a significant variance in the critical buckling pressure, above which the MWNT undergoes radial corrugation. The insertion-induced-variance in the critical pressure is due to the primary role of inter-tube interaction between adjacent constituent tubes, as explained within our theoretical model.

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“…This behavior has been observed in all studied samples above region (i), in agreement with theoretical predictions for the MWCNT. 17,18 However, the appearance of this feature between different samples indicates a small spread of the pressure values around 1 GPa. For example, as can be seen from Fig.…”

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confidence: 94%

“…Theoretically, this behavior can be explained in the framework of a continuum elastic approximation, where a large number of concentric walls undergo elastic deformation at the critical pressure P C $ 1 GPa, above which the circular shape of the crosssection becomes radially corrugated. 17,18 On the other hand, experimental studies on MWCNT show response up to 20 GPa, using diamond anvil cells. 7 In this regard, hydrostatic pressure provides an ideal condition to investigate the structure elasticity, as well as electrical properties of MWCNT.…”

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confidence: 98%

High-pressure resistance reversibility of polymer composites based on multiwalled carbon nanotubes

Arslanov

Babaev

Arslanov

et al. 2014

Applied Physics Letters

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A study on the electrical behavior of polymer composites based on multi-walled carbon nanotubes (MWCNT) under the application of hydrostatic pressure up to 9 GPa and at room temperature is reported. A higher resistance, with values of order of kΩ, is demonstrated for MWCNT with an aspect ratio R9GPa/Rint ≈7. Our observations also show that pressure induced a structural change of the MWCNT to an ellipsoid shape at P ∼ 1–1.5 GPa—a measurement that correlates rather well with theoretical predictions. By direct and reverse high-pressure measurements of resistance, as well as current-voltage characteristics, we have identified the reversibility of electrophysical properties. Our observations suggest that the polymer composite based on MWCNT is a promising material for pressure sensing devices.

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Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes

Cited by 25 publications

References 57 publications

Buckling of Carbon Nanotubes: A State of the Art Review

Buckling of Carbon Nanotubes: A State of the Art Review

Stiffener Insertion Based Variance in Radial Stiffness of Multi-Concentric Hollow Tubes

High-pressure resistance reversibility of polymer composites based on multiwalled carbon nanotubes

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