Nanotube devices: A microscopic model

Bulashevich, K. A.; Rotkin, Slava V.

doi:10.1134/1.1475724

Cited by 47 publications

(60 citation statements)

References 5 publications

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“…In the aforementioned simulations, it was concluded that the end displacements were larger than those predicted by a local theory. Thus correction factors were introduced (Dequesnes et al, 2002;Bulashevich and Rotkin, 2002; to simulate end enhancements.…”

Section: Electromechanical Behavior Of Nanodevicesmentioning

confidence: 99%

“…Kim and Lieber (1999) determined the deformation of the CNT arms at a given bias voltage by minimizing the free energy made of the elastic contributions of the beams and the electrostatic energy. An analogous energy based approach was applied by Dequesnes et al (2002), Bulashevich and Rotkin (2002) and to simulate similar bent nanoactuators. In the aforementioned simulations, it was concluded that the end displacements were larger than those predicted by a local theory.…”

Section: Electromechanical Behavior Of Nanodevicesmentioning

confidence: 99%

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Electromechanical behavior, end enhancements and radial elasticity of single-walled CNTs: A physically-consistent model based on nonlocal charges

Benvenuti

2015

International Journal of Solids and Structures

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We simulate the electromechanical behavior of freestanding and clamped carbon nanotubes (CNTs) subjected to an electric potential and displaying charge end enhancements. In this case, CNT deformation is a consequence of the electrostatic pressure associated with the charge density. Whereas experiments investigate several micron long CNTs, computational models consider nanometer-sized CNTs. Hence, experimental and computational results, often, cannot be compared. Analytical solutions appear thus useful as reference solutions for finite element analysis, alternative to atomistic simulations, and complementary to experimental tests. In this work, the electromechanical behavior of CNTs is computed by using the nonlocal Poisson equation obtained extending the charge transport equations for spatially variable currents. Based on a certain equivalence between gradient and integral formulations, we solve the problem governing the electromechanical problem of CNTs regarded as cylinders subjected to electrostatic forces. The present procedure automatically captures charge end enhancements, thus overcoming the necessity of introducing suitable charge end correction factors. The analytical expressions of the radial displacement of freestanding CNTs, and the deflection of bent CNTs are obtained. For armchair single wall CNTs, the results obtained are consistent with experiments, and molecular mechanics and atomistic simulations. Size dependence of electric and mechanical properties is assessed

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Section: Electromechanical Behavior Of Nanodevicesmentioning

confidence: 99%

Section: Electromechanical Behavior Of Nanodevicesmentioning

confidence: 99%

Electromechanical behavior, end enhancements and radial elasticity of single-walled CNTs: A physically-consistent model based on nonlocal charges

Benvenuti

2015

International Journal of Solids and Structures

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“…Ke et al [5,6] studied singly and doubly clamped nanotubes under electrostatic actuation. Keblinski et al [7], Bulashevich and Rotkin [8], and Rotkin et al [9] observed the essentially classical distribution of charge density with a significant charge concentration at the tube end of conductive nanotubes. Beam-type electrostatic actuators that are fabricated from silicon have been widely applied in electromechanical systems.…”

Section: Introductionmentioning

confidence: 96%

Electromechanical analysis of electrostatic nano‐actuators using the differential quadrature method

Hsu

2007

Commun. Numer. Meth. Engng.

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SUMMARYThe nonlinear analysis of nanoelectromechanical systems using the differential quadrature model is investigated. The differential quadrature method is applied to overcome the difficulty of determining the nonlinear equation of motion. The characteristics of various combinations of curved electrodes and cantilever beams are considered to optimize the design. Various nano-actuators, such as the cantilever beam actuator, are derived and simulated to examine the feasibility of applying the differential quadrature method to the nonlinear deflection in solving the nano-actuator problem. The effects of the electrode shapes, the lengths of the actuators, and the moments of inertia of the actuators on the pull-in behavior of the cantilever actuators in electrostatic nanoelectromechanical systems are investigated. The differential quadrature approach is used to generate the electrostatic field equations in matrix form.

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“…Keblinski et al [7] identified a classical distribution of charge density with a significant charge concentration at the tube end of conductive nanotubes. Rotkin and coworkers [8,9] studied the atomistic capacitance of a nanotube electrostatic device. They applied the electrostatic model to analyze the equilibrium charge-carrier distribution over nanotube surfaces.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of multi-walled carbon nanotubes using the spline collocation method

Hsu¹

2010

Int. J. Numer. Meth. Biomed. Engng.

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SUMMARYThis work investigates multi-walled carbon nanotube frequencies via continuum mechanics-based spline collocation simulations using nanobeam-bending models. This modeling approach is suitable for the development of multi-walled carbon nanotube applications. The spline collocation procedure converts partial differential equations of vibration problems of multi-walled carbon nanotubes into a discrete eigenvalue problem. The effects of surrounding elastic medium stiffness and the van der Waals forces on the dynamic behavior of multi-walled carbon nanotubes are investigated.

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Nanotube devices: A microscopic model

Cited by 47 publications

References 5 publications

Electromechanical behavior, end enhancements and radial elasticity of single-walled CNTs: A physically-consistent model based on nonlocal charges

Electromechanical behavior, end enhancements and radial elasticity of single-walled CNTs: A physically-consistent model based on nonlocal charges

Electromechanical analysis of electrostatic nano‐actuators using the differential quadrature method

Dynamic analysis of multi-walled carbon nanotubes using the spline collocation method

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