https://doi.org/10.1140/epjp/i2017-11666-6
Regular Article
Size-dependent electro-magneto-elastic bending analyses of the shear-deformable axisymmetric functionally graded circular nanoplates
1
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, 87317-51167, Kashan, Iran
2
Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
3
Department of Mathematics, Faculty of Science, Kafrelsheikh University, 33516, Kafrelsheikh, Egypt
* e-mail: arefi63@gmail.com
Received:
31
July
2017
Accepted:
21
August
2017
Published online:
13
October
2017
This paper develops nonlocal elasticity equations and magneto-electro-elastic relations to size-dependent electro-magneto-elastic bending analyses of the functionally graded axisymmetric circular nanoplates based on the first-order shear deformation theory. All material properties are graded along the thickness direction based on exponential varying. It is assumed that a circular nanoplate is made from piezo-magnetic materials. The energy method and Ritz approach is employed for the derivation of governing equations of electro-magneto-elastic bending and the solution of the problem, respectively. The nanoplate is subjected to applied electric and magnetic potentials at top and transverse loads while it is rested on Pasternak’s foundation. Some important numerical results are presented in various figures to show the influence of applied electric and magnetic potentials, small scale parameter and inhomogeneous index of an exponentially graded nanoplate.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017
