New approach to model the buckling and stable length of multi walled carbon nanotube probes near graphite sheets

Koochi, Ali; Kazemi, Asieh Sadat; Noghrehabadi, Aminreza; Yekrangi, Alireza; Abadyan, Mohamadreza

doi:10.1016/j.matdes.2010.08.002

Cited by 30 publications

(10 citation statements)

References 33 publications

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“…Thus, only long beams are considered in this study. This simplification is acceptable for most cases [18,19,31]. For the small values of g/w the fringing field effect is negligible.…”

Section: Introductionmentioning

confidence: 98%

“…In the both works electrostatic forces, fringing field effect and intermolecular forces have been taken into account. The Adomian decomposition method (ADM) has been used by Soroush et al [18] and Koochi et al [19] to obtain deflection and pull-in parameters of cantilever actuators subjected to intermolecular and electrical forces. It has been shown that the Modified Adomian Decomposition Method (MADM) is a powerful and convenient method which can effectively solve micro and nano mechanics problems [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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Effect of Dielectric-Layer on the Stress Field of Micro Cantilever Beams at the Onset of Pull-In Instability

2013

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In this paper, stress distribution of micro cantilever beams in the presence of a dielectric-layer is studied using an analytic method. The Modified Adomian Decomposition Method (MADM) is applied to obtain a semi-analytical solution for a distributed parameter model of the micro cantilever beam. The important parameters for designing and manufacturing micro-actuators such as shear force, bending moment and stress distribution along the cantilevers are computed for different values of the dielectric-layer parameter. The results of MADM are compared with the numerical results, and they found in good agreement. It is found that increase of the dielectric-layer parameter increases the dimensionless pull-in voltage, tip deflection, internal stress and bending moment of the micro cantilever actuators at the onset of pull-in instability.

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“…Thus, only long beams are considered in this study. This simplification is acceptable for most cases [18,19,31]. For the small values of g/w the fringing field effect is negligible.…”

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Effect of Dielectric-Layer on the Stress Field of Micro Cantilever Beams at the Onset of Pull-In Instability

2013

Self Cite

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“…For long aspect ratio length e®ect becomes dominating and beam model is suitable for buckling analysis of SWCNT. [25][26][27] This work is organized as follows. Section 2 reports the MD simulations and results for the critical buckling load/strains of SWCNT with di®erent chiral angles.…”

Section: Introductionmentioning

confidence: 99%

Continuum Shell Model for Buckling of Single-Walled Carbon Nanotubes with Different Chiral Angles

Chowdhury

Wang

Koh

2014

Int. J. Str. Stab. Dyn.

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In this paper, an equivalent thick cylindrical shell model is proposed for the buckling analysis of short single-walled carbon nanotubes (SWCNTs) with allowance for di®erent chiral angles. Extensive, molecular dynamics (MD) simulations are¯rst performed using the adaptive intermolecular reactive bond order potential to determine the critical buckling loads/strains. The MD simulations buckling results are then used as reference solutions to calibrate the properties of the thick cylindrical shell model. Central to this development is the establishment of an empirical expression for the Young's modulus that is a function of both the diameter and the chiral angle of the SWCNT. For the shell model, we have assumed that the Poisson ratio ¼ 0:19 and the shell thickness h ¼ 0:066 nm. It will be shown that the proposed shell model furnishes good estimates of the critical buckling loads for SWCNTs with di®erent chiral angles. The critical buckling strains are also evaluated from the critical buckling load with the aid of the stress-strain relation of SWCNTs.

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“…In a recent work, Koochi et al [13] applied a hybrid continuum model to investigate the molecular force-induced buckling of a freestanding MWCNT probes/actuators suspended over graphite sheets. They carried out a fourth order nonlinear ordinary differential equation for buckling of multiwalled carbon nanotube (MWCNT) probes/actuators.…”

Section: Introductionmentioning

confidence: 99%

“…They carried out a fourth order nonlinear ordinary differential equation for buckling of multiwalled carbon nanotube (MWCNT) probes/actuators. Koochi et al [13] used Adomian decomposition method to obtain a solution for buckling and pull-in in stability of MWCNTs. Although, the results of Adomian decomposition method in comparison with numerical results are acceptable, but the results show that the accuracy of Adomian method near the pull-in instability conditions is decreased.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Power Series Artificial Bee Colony Algorithm to Obtain a Solution for Buckling of Multiwall Carbon Nanotube Cantilevers Near Small Layers of Graphite Sheets

Noghrehabadi

Ghalambaz

Ghalambaz³

et al. 2012

Applied Computational Intelligence and Soft Computing

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A hybrid power series and artificial bee colony algorithm (PS-ABC) method is applied to solve a system of nonlinear differential equations arising from the distributed parameter model of multiwalled carbon nanotube (MWCNT) cantilevers in the vicinity of thin and thick graphite sheets subject to intermolecular forces. The intermolecular forces are modeled using van der Waals forces. A trial solution of the differential equation is defined as sum of two polynomial parts. The first part satisfies the boundary conditions and does contain two adjustable parameters. The second part is constructed as not to affect the boundary conditions, which involves adjustable parameters. The ABC method is applied to find adjustable parameters of trial solution (in first and second part). The obtained results are compared with numerical results as well as analytical solutions those reported in the literature. The results of the presented method represent a remarkable accuracy in comparison with numerical results. The minimum initial gap and the detachment length of the actuator that does not stick to the substrate due to the intermolecular forces, as important parameters in pull-in instability of MWCNT actuator, are evaluated by obtained power series.

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New approach to model the buckling and stable length of multi walled carbon nanotube probes near graphite sheets

Cited by 30 publications

References 33 publications

Effect of Dielectric-Layer on the Stress Field of Micro Cantilever Beams at the Onset of Pull-In Instability

Effect of Dielectric-Layer on the Stress Field of Micro Cantilever Beams at the Onset of Pull-In Instability

Continuum Shell Model for Buckling of Single-Walled Carbon Nanotubes with Different Chiral Angles

A Hybrid Power Series Artificial Bee Colony Algorithm to Obtain a Solution for Buckling of Multiwall Carbon Nanotube Cantilevers Near Small Layers of Graphite Sheets

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