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We demonstrate a novel cross-sectional deformation, called the radial corrugation, of multi-walled carbon nanotubes (MWNTs) under hydrostatic pressure. Theoretical analyses based on the continuum elastic approximation have revealed that…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hiroyuki Shima , Motohiro Sato

Radial elastic corrugation of multiwalled carbon nanotubes under hydrostatic pressure is demonstrated by using the continuum elastic theory. Various corrugation patterns are observed under a pressure of several GPa, wherein the stable…

Materials Science · Physics 2009-03-17 Hiroyuki Shima , Motohiro Sato

A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected type of orthotropic response, which should be suitable to…

Mathematical Physics · Physics 2016-01-20 Antonino Favata , Paolo Podio-Guidugli

The present paper investigates the cross-sectional morphology of Multiwalled Carbon Nanotubes (MWNTs) restrained radially and circumferentially by an infinite surrounding elastic medium, subjected to uniform external hydrostatic pressure.…

Materials Science · Physics 2015-05-13 Motohiro Sato , Hiroyuki Shima , Kohtaroh Iiboshi

Interwall interaction energies of double-walled nanotubes (DWNTs) with long inner and short outer walls are calculated as functions of coordinates describing relative rotation and displacement of the walls using van der Waals corrected…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Andrey M. Popov , Irina V. Lebedeva , Andrey A. Knizhnik , Yurii E. Lozovik , Boris V. Potapkin

In this dissertation, thermal and electrical properties of aligned multiwall carbon nanotubes (MWNTs) prepared by thermal decomposition of hydrocarbons have been experimentally studied. The thesis consists of six chapters. Ch1 is an…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Wei Yi

The complete energy expression of a deformed single-walled carbon nanotube (SWNT) is derived in the continuum limit from the local density approximation model proposed by Lenosky {\it et al.} \lbrack Nature (London) {\bf 355}, 333…

Materials Science · Physics 2007-05-23 Zhan-chun Tu , Zhong-can Ou-Yang

The axial stiffness of MWCNTs is demonstrated to be determined only by several external shells (usually 3-5 and up to 15 for the extremely large nanotubes and high elongations) what is in a good agreement with experimentally observed…

Materials Science · Physics 2015-03-19 Vladimir Zavalniuk

This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs). We provide a description of the geometry of the two most…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Chandrajit Bajaj , Antonino Favata , Paolo Podio-Guidugli

Structural and thermal characteristics of crystalline ropes of single-wall carbon nanotubes (SWCNTs) are investigated. Novel crystalline ropes of polygonized SWCNTs produced by laser irradiation exhibit rounded-hexagonal cross sections in…

Materials Science · Physics 2015-10-28 M. J. Lopez , A. Rubio , J. A. Alonsos

Spontaneous polygonization for a multi-walled carbon nanotubes (MWCNTs) have been observed for about two decades. In present manuscript, this phenomenon is understood by the competition between cohesion energy (with lattice mismatching…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Weihua Mu , Zhongcan Ou-Yang

We study the structural and electronic properties of isolated single-wall carbon nanotubes (SWNTs) under hydrostatic pressure using a combination of theoretical techniques: Continuum elasticity models, classical molecular dynamics…

Other Condensed Matter · Physics 2009-11-10 Rodrigo B. Capaz , Catalin D. Spataru , Paul Tangney , Marvin L. Cohen , Steven G. Louie

We use classical molecular dynamics simulations to study the collapse of single (SWNT) and double-walled (DWNT) carbon nanotube bundles under hydrostatic pressure. The collapse pressure (pc) varies as 1/R^3, where R is the SWNT radius or…

Other Condensed Matter · Physics 2009-11-11 Vikram Gadagkar , Prabal K. Maiti , Yves Lansac , A. Jagota , A. K. Sood

We report an experimental and a theoretical study of the radial elasticity of multi-walled carbon nanotubes as a function of external radius. We use atomic force microscopy and apply small indentation amplitudes in order to stay in the…

Materials Science · Physics 2015-07-20 Ismael Palaci , Stephan Fedrigo , Harald Brune , Christian Klinke , Michael Chen , Elisa Riedo

Interactions between atoms of bound single-walled carbon nanotubes (SWNTs) are known to cause measurable distortion to the tube's original circular cross-section frame. High-resolution transmission electron microscope (TEM) investigation…

Materials Science · Physics 2007-05-23 Z. R. Abrams , Y. Hanein

A simplified theory of the telescopic oscillations in multiwalled carbon nanotubes is developed. The explicit expressions for the telescopic force constants (longitudinal rigidity) and the frequencies of telescopic oscillations are derived.…

Other Condensed Matter · Physics 2011-11-08 Vladimir Zavalniuk , Sergey Marchenko

Stable cross-sections of multi-walled carbon nanotubes subjected to electron-beam irradiation are investigated in the realm of the continuum mechanics approximation. The self-healing nature of sp$^2$ graphitic sheets implies that selective…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hiroyuki Shima , Motohito Sato , Kohtaroh Iiboshi , Susanta Ghosh , Marino Arroyo

The dependence of the energy of interwall interaction in double-walled carbon nanotubes (DWNT) on the relative position of walls has been calculated using the density functional method. This dependence is used to evaluate forces that are…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. Bichoutskaia , O. V. Ershova , Yu. E. Lozovik , A. M. Popov

The current study presents the natural vibrations of single-walled carbon nanotubes (SWCNTs) using the nonlocal theory of elasticity. The study will help to develop nanodevices. The study focuses on the natural vibrations of curved or…

Dynamical Systems · Mathematics 2023-08-08 Shahid Mubasshar

The electronic structure of a graphene sheet is altered when it is rolled up to form a single-walled carbon nanotube (SWCNT), and the curvature effects for small radius nanotubes become significant. In the paper, an analogue of the Bloch…

Mathematical Physics · Physics 2025-12-08 Yuri A. Antipov
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