Application of Modified Couple Stress Theory and Homotopy Perturbation Method in Investigation of Electromechanical Behaviors of Carbon Nanotubes
Year: 2017
Author: Mir Masoud Seyyed Fakhrabadi
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 23–42
Abstract
The paper presents the size-dependent 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-dependent 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m71
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 23–42
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Carbon nanotubes modified couple stress theory homotopy perturbation method electrostatic actuation.
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