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Application of Modified Couple Stress Theory and Homotopy Perturbation Method in Investigation of Electromechanical Behaviors of Carbon Nanotubes

Part of: Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  11 October 2016

Mir Masoud Seyyed Fakhrabadi
Mir Masoud Seyyed Fakhrabadi*
Affiliation:
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
*
*Corresponding author. Email:mfakhrabadi@ut.ac.ir, msfakhrabadi@gmail.com (M. M. S. Fakhrabadi)
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Abstract

The paper presents the size-dependant behaviors of the carbon nanotubes under electrostatic actuation using the modified couple stress theory and homotopy perturbation method. Due to the less accuracy of the classical elasticity theorems, the modified couple stress theory is applied in order to capture the size-dependant properties of the carbon nanotubes. Both of the static and dynamic behaviors under static DC and step DC voltages are discussed. The effects of various dimensions and boundary conditions on the deflection and pull-in voltages of the carbon nanotubes are to be investigated in detail via application of the homotopy perturbation method to solve the nonlinear governing equations semi-analytically.

Keywords

Carbon nanotubesmodified couple stress theoryhomotopy perturbation methodelectrostatic actuation

MSC classification

Secondary: 35Q70: PDEs in connection with mechanics of particles and systems
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 1 , February 2017 , pp. 23 - 42
Copyright
Copyright © Global-Science Press 2017 

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