Core-Tube Morphology of Multiwall Carbon Nanotubes

Sato, Motohiro; Shima, Hiroyuki; Iiboshi, Kohtaroh

doi:10.1142/s0217979210064228

Cited by 6 publications

(5 citation statements)

References 45 publications

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“…Moreover, much attention has been given to the structural morphology of the core/shell structure. Some authors have recently demonstrated the cross-sectional morphology of carbon nanotubes embedded in an elastic medium [15,16,17]. These results clearly show that interactions between shells and cores lead to some novel wavy-shaped buckling deformation patterns.…”

Section: Introductionmentioning

confidence: 85%

Buckling patterns of complete spherical shells filled with an elastic medium under external pressure

Sato

Wadee

Iiboshi

et al. 2012

International Journal of Mechanical Sciences

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The critical buckling characteristics of hydrostatically pressurized complete spherical shells filled with an elastic medium are demonstrated. A model based on small deflection thin shell theory, the equations of which are solved in conjunction with variational principles, is presented. In the exact formulation, axisymmetric and inextensional assumptions are not used initially and the elastic medium is modelled as a Winkler foundation, i.e. using uncoupled radial springs with a constant foundation modulus that is independent of wave numbers of shell buckling modes. Simplified approximations based on a Rayleigh-Ritz approach are also introduced for critical buckling pressure and mode number with a considerable degree of accuracy. Characteristic modal shapes are demonstrated for a wide range of material and geometric parameters. A phase diagram is established to obtain the requisite thickness to radius, and stiffness ratios for a desired mode profile. The present exact formulation can be readily extended to apply to more general cases of nonaxisymmetric buckling problems.

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Section: Introductionmentioning

confidence: 85%

Buckling patterns of complete spherical shells filled with an elastic medium under external pressure

Sato

Wadee

Iiboshi

et al. 2012

International Journal of Mechanical Sciences

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“…Note that i j c  is symmetric. The set of Equations (15), (20), and (21) allows for the evaluation of I U .…”

Section: Inter-tube Coupling Energymentioning

confidence: 99%

“…Nevertheless, due to their nanometric scales, the similarities and differences in the buckling patterns compared with those of their macroscopic counterparts are not trivial. This complexity has motivated tremendous efforts toward the analysis of the buckling of carbon nanotubes under diverse loading conditions: axial compression [6][7][8][9][10], radial compression [11][12][13][14][15][16][17][18][19][20][21][22], bending [23][24][25][26][27][28], torsion [29][30][31][32], and combinations of these [33].…”

Section: Introductionmentioning

confidence: 99%

Hard-to-Soft Transition in Radial Buckling of Multi-Concentric Nanocylinders

Park¹,

Sato²,

Ikeda³

et al. 2012

WJM

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We investigate the cross-sectional buckling of multi-concentric tubular nanomaterials, which are called multiwalled carbon nanotubes (MWNTs), using an analysis based on thin-shell theory. MWNTs under hydrostatic pressure experience radial buckling. As a result of this, different buckling modes are obtained depending on the inter-tube separation d as well as the number of constituent tubes N and the innermost tube diameter. All of the buckling modes are classified into two deformation phases. In the first phase, which corresponds to an elliptic deformation, the radial stiffness increases rapidly with increasing N. In contrast, the second phase yields wavy, corrugated structures along the circumference for which the radial stiffness declines with increasing N. The hard-to-soft phase transition in radial buckling is a direct consequence of the core-shell structure of MWNTs. Special attention is devoted to how the variation in d affects the critical tube number Nc, which separates the two deformation phases observed in N -walled nanotubes, i.e., the elliptic phase for N < Nc and the corrugated phase for N > Nc. We demonstrate that a larger d tends to result in a smaller Nc, which is attributed to the primary role of the interatomic forces between concentric tubes in the hard-to-soft transition during the radial buckling of MWNTs

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“…carbon nanotubes embedded in an elastic medium. [9][10][11] In most cases quantum theory is necessary for the description of the organization forms of matter. But even the interpretation of modern quantum theory seems still to be an open question, as is demonstrated in Refs.…”

Section: Introductionmentioning

confidence: 99%

Thermal Stresses in a Spherical Shell Under Different Thermoelastic Models

Yahya¹,

Edfawy²

2014

Jnl of Comp & Theo Nano

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In this paper, the problem of dynamic thermoelastic stresses in a spherical shell with fixed boundaries whose inner surface is subjected to a step jump in temperature is considered. The analysis is carried out in the uncoupled framework under the classical Lord and Shulman and green and Lindsay formulations of thermoelasticity. Numerical solutions for the temperature and displacement equations are obtained using the finite difference method. Numerical results are presented graphically along with a comparison of the three models. In addition, special and limiting cases of the physical parameters are investigated and the application of this research to fuel vessels used in rocket engine testing are noted. Lastly a discussion concerning which of the three theories are the most physically acceptable is given, with the Lord and Shulman formulation emerging as the clear overall choice.

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Core-Tube Morphology of Multiwall Carbon Nanotubes

Cited by 6 publications

References 45 publications

Buckling patterns of complete spherical shells filled with an elastic medium under external pressure

Buckling patterns of complete spherical shells filled with an elastic medium under external pressure

Hard-to-Soft Transition in Radial Buckling of Multi-Concentric Nanocylinders

Thermal Stresses in a Spherical Shell Under Different Thermoelastic Models

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