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Advances in Nano Research
  Volume 4, Number 2, June 2016 , pages 65-84
DOI: https://doi.org/10.12989/anr.2016.4.2.065
 


An exact solution for buckling analysis of embedded piezo- electro-magnetically actuated nanoscale beams
Farzad Ebrahimi and Mohammad Reza Barati

 
Abstract
    This paper investigates the buckling behavior of shear deformable piezoelectric (FGP) nanoscale beams made of functionally graded (FG) materials embedded in Winkler-Pasternak elastic medium and subjected to an electro-magnetic field. Magneto-electro-elastic (MEE) properties of piezoelectric nanobeam are supposed to be graded continuously in the thickness direction based on power-law model. To consider the small size effects, Eringen\'s nonlocal elasticity theory is adopted. Employing Hamilton\'s principle, the nonlocal governing equations of the embedded piezoelectric nanobeams are obtained. A Navier-type analytical solution is applied to anticipate the accurate buckling response of the FGP nanobeams subjected to electro-magnetic fields. To demonstrate the influences of various parameters such as, magnetic potential, external electric voltage, power-law index, nonlocal parameter, elastic foundation and slenderness ratio on the critical buckling loads of the size-dependent MEE-FG nanobeams, several numerical results are provided. Due to the shortage of same results in the literature, it is expected that the results of the present study will be instrumental for design of size-dependent MEE-FG nanobeams.
 
Key Words
    piezoelectric nanobeam; magneto-electro-elastic FG nanobeam; buckling; nonlocal elasticity theory; higher order beam theory
 
Address
Farzad Ebrahimi and Mohammad Reza Barati: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, I.R. Iran
 

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