scholarly journals Buckling analysis of a non-concentric double-walled carbon nanotube

2020 ◽  
Vol 231 (12) ◽  
pp. 5007-5020 ◽  
Author(s):  
Mohammad Malikan ◽  
Victor A. Eremeyev ◽  
Hamid M. Sedighi
Keyword(s):  
Carbon Nanotubes ◽  
Theoretical Study ◽  
Static Stability ◽  
Governing Equations ◽  
Stability Threshold ◽  
Lennard Jones ◽  
The Stability ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes ◽  
Nonlocal Approach

Abstract On the basis of a theoretical study, this research incorporates an eccentricity into a system of compressed double-walled carbon nanotubes (DWCNTs). In order to formulate the stability equations, a kinematic displacement with reference to the classical beam hypothesis is utilized. Furthermore, the influence of nanoscale size is taken into account with regard to the nonlocal approach of strain gradient, and the van der Waals interaction for both inner and outer tubes is also considered based on the Lennard–Jones model. Galerkin decomposition is employed to numerically deal with the governing equations. It is evidently demonstrated that the geometrical eccentricity remarkably affects the stability threshold and its impact is to increase the static stability of DWCNTs.

Theoretical study on the electronic structure nature of single and double walled carbon nanotubes and its role on the electron transport

2019 ◽  
Vol 119 (17) ◽  
Author(s):  
Néstor David Espinosa‐Torres ◽  
Alfredo Guillén‐López ◽  
Javier Martínez‐Juárez ◽  
José Álvaro David Hernández de la Luz ◽  
Ángel Pedro Rodríguez‐Victoria ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Electronic Structure ◽  
Electron Transport ◽  
Theoretical Study ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Stochastic Nonlinear Vibration of Fluid-Loaded Double-Walled Carbon Nanotubes

2013 ◽  
Vol 284-287 ◽  
pp. 362-366
Author(s):  
Tai Ping Chang
Keyword(s):  
Carbon Nanotubes ◽  
Differential Equations ◽  
Nonlinear Vibration ◽  
Nonlinear Differential Equations ◽  
Mean Value ◽  
Stochastic Dynamic ◽  
Governing Equations ◽  
The Mean ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

This paper investigates the stochastic dynamic behaviors of nonlinear vibration of the fluid-loaded double-walled carbon nanotubes (DWCNTs) by considering the effects of the geometric nonlinearity and the nonlinearity of van der Waals (vdW) force. The nonlinear governing equations of the fluid-conveying DWCNTs are formulated based on the Hamilton’s principle. The Young’s modulus of elasticity of the DWCNTs is assumed as stochastic with respect to the position to actually describe the random material properties of the DWCNTs. By utilizing the perturbation technique, the nonlinear governing equations of the fluid-conveying can be decomposed into two sets of nonlinear differential equations involving the mean value of the displacement and the first variation of the displacement separately. Then we adopt the harmonic balance method in conjunction with Galerkin’s method to solve the nonlinear differential equations successively. Some statistical dynamic response of the DWCNTs such as the mean values and standard deviations of the amplitude of the displacement are computed. It is concluded that the mean value and standard deviation of the amplitude of the displacement increase nonlinearly with the increase of the frequencies.

Small Scale Effect on Nonlinear Vibration of Fluid-Loaded Double-Walled Carbon Nanotubes with Uncertainty

2013 ◽  
Vol 479-480 ◽  
pp. 121-125
Author(s):  
Tai Ping Chang
Keyword(s):  
Carbon Nanotubes ◽  
Dynamic Response ◽  
Nonlinear Vibration ◽  
Nonlinear Differential Equations ◽  
Small Scale ◽  
Governing Equations ◽  
Statistical Dynamic ◽  
The Mean ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

This paper investigates the statistical dynamic behaviors of nonlinear vibration of the fluid-loaded double-walled carbon nanotubes (DWCNTs) by considering the effects of the geometric nonlinearity and the nonlinearity of van der Waals (vdW) force. Besides, the small scale effects of the nonlinear vibration of the DWCNTs are studied by using the theory of nonlocal elasticity. The nonlinear governing equations of the fluid-conveying DWCNTs are formulated based on the Hamilton's principle. The Young's modulus of elasticity of the DWCNTs is assumed as stochastic to actually describe the random material properties of the DWCNTs. By utilizing the perturbation technique, the nonlinear governing equations of the fluid-conveying can be decomposed into two sets of nonlinear differential equations involving the mean value of the displacement and the first variation of the displacement separately. Then we adopt the harmonic balance method in conjunction with Galerkin's method to solve the nonlinear differential equations successively. Some statistical dynamic response of the DWCNTs such as the mean values and standard deviations of the amplitude of the displacement are computed; meanwhile the effects of small scale coefficients on the statistical dynamic response of the DWCNTs are investigated.

scholarly journals Multiple intra-tube junctions in the inner tube of peapod-derived double walled carbon nanotubes: theoretical study and experimental evidence

Nanoscale ◽  
2012 ◽  
Vol 4 (1) ◽  
pp. 130-136 ◽  
Author(s):  
Ziwei Xu ◽  
Hui Li ◽  
Kazunori Fujisawa ◽  
Yoong Ahm Kim ◽  
Morinobu Endo ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Experimental Evidence ◽  
Theoretical Study ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Stability Analysis of Double-Walled Carbon Nanotubes with Initial Stress

2013 ◽  
Vol 444-445 ◽  
pp. 147-151
Author(s):  
Yan Yan ◽  
Wen Quan Wang ◽  
Li Xiang Zhang
Keyword(s):  
Carbon Nanotubes ◽  
Initial Stress ◽  
Axial Stress ◽  
Harmonic Balance Method ◽  
Significant Control ◽  
The Stability ◽  
Mode Transitions ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes ◽  
Frequency Curves

In the paper, the stability of the double-walled carbon nanotubes (DWCNTs) under the initial axial stress are studied. Galerkin and harmonic balance method are used to analyze the relation between the amplitudes and the frequencies of the tubes. The results show that the critical initial stress plays a significant control role in the amplitude-frequency curves. When the initial axial stress is less than the critical initial stress, DWCNTs have twice dynamical mode transitions corresponding to twice noncoaxial vibrations, however, when the initial axial stress is larger than the critical initial stress, the topological forms of the amplitude-frequency curve are changeable, which are corresponding to coaxial vibration or three possible noncoaxial vibration type.

scholarly journals Theoretical Study on the Structures of Single-Atom M (M=Fe, Co and Ni) Adsorption Outside and Inside the Defect Carbon Nanotubes

2021 ◽  
Author(s):  
Qing-Yun Wang ◽  
Gang Nan ◽  
Guang-Di Liu ◽  
Yongchun Tong ◽  
Xin-Jian Xu
Keyword(s):  
Carbon Nanotubes ◽  
Theoretical Study ◽  
Function Theory ◽  
Vacancy Defect ◽  
Single Atom ◽  
Single Vacancy ◽  
Internal Adsorption ◽  
Wales Defect ◽  
The Stability ◽  
Walled Carbon Nanotubes

Abstract Single-atom confinement inside carbon nanotubes has attracted much attention in many fields. This class of materials may not only serve as a catalyst but also as a support material for certain reactions. In this paper, we have studied the single-walled carbon nanotubes (SWCNT), single vacancy defect (SV) and Stone-Wales defect (SW) carbon nanotubes with Fe, Co and Ni atom by both inside and outside adsorption structures in density function theory (DFT). Our results reveal that the binding abilities of atomic Fe, Co, Ni onto the internal and external surfaces of the SWCNT, SV and SW are in following orders by metals: Ni>Co>Fe. The adsorption energies of SV toward Fe, Co and Ni are more stable than those of SWCNT and SW, which can be attributed to the three active carbon sites created by a C atom removing, while the SWCNT and SW demonstrate similar adsorption energy due to the similar structure. Generally, the stability of external adsorption structures is stronger than those of internal adsorption structures, but as for the SW, the stability of internal and external adsorption structures is close, which means that the defects have improved the confinement of carbon nanotubes to M (M=Fe, Co Ni).

scholarly journals Stabilizing effect of methylcellulose on the dispersion of multi-walled carbon nanotubes in cementitious composites

2020 ◽  
Vol 9 (1) ◽  
pp. 93-104
Author(s):  
Mingrui Du ◽  
Yuan Gao ◽  
Guansheng Han ◽  
Luan Li ◽  
Hongwen Jing
Keyword(s):  
Carbon Nanotubes ◽  
Pore Solution ◽  
Cementitious Materials ◽  
High Ionic Strength ◽  
Cementitious Composites ◽  
Uniform Distributions ◽  
Stabilizing Effect ◽  
Multi Walled Carbon Nanotubes ◽  
The Stability ◽  
Walled Carbon Nanotubes

AbstractMulti-walled carbon nanotubes (MWCNTs) have been added in the plain cementitious materials to manufacture composites with the higher mechanical properties and smart behavior. The uniform distributions of MWCNTs is critical to obtain the desired enhancing effect, which, however, is challenged by the high ionic strength of the cement pore solution. Here, the effects of methylcellulose (MC) on stabilizing the dispersion of MWCNTs in the simulated cement pore solution and the viscosity of MWCNT suspensions werestudied. Further observations on the distributions of MWCNTs in the ternary cementitious composites were conducted. The results showed that MC forms a membranous envelope surrounding MWCNTs, which inhibits the adsorption of cations and maintains the steric repulsion between MWCNTs; thus, the stability of MWCNT dispersion in cement-based composites is improved. MC can also work as a viscosity adjuster that retards the Brownian mobility of MWCNTs, reducing their re-agglomerate within a period. MC with an addition ratio of 0.018 wt.% is suggested to achieve the optimum dispersion stabilizing effect. The findings here provide a way for stabilizing the other dispersed nano-additives in the cementitious composites.

Sign in / Sign up

Export Citation Format

Share Document