Eur. Phys. J. Plus (2020) 135: 488
https://doi.org/10.1140/epjp/s13360-020-00467-9

Regular Article

Surface energy layers investigation of intelligent magnetoelectrothermoelastic nanoplates through a vibration analysis

¹ Department of Mechanical Engineering, Isfahan University of Technology, 84156-83111, Isfahan, Iran
² Borjavaran Center of Applied Science and Technology, University of Applied Sciences and Technology, Tehran, Iran
³ Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran
⁴ School of Engineering, University of British Columbia, V1V 1V7, Kelowna, Canada
⁵ School of Engineering, RMIT University, 3083, Melbourne, VIC, Australia

^a mortezakarimi22138@gmail.com, morteza.karimi@me.iut.ac.ir
^e hamid.khayyam@rmit.edu.au

Received: 21 July 2019
Accepted: 15 May 2020
Published online: 9 June 2020

Abstract

Intelligent materials such as magnetoelectrothermoelastic (METE) nanoplates offer great potential to supply more efficient energy harvesting devices, transducers, sensors, and actuators. In this study, the influences of slanted angle of the METE nanoplate and orthotropic angle of Pasternak foundation on the magnitude of surface energy layers are investigated through a vibrational analysis. The nanoplate is exposed to outer thermal, electric, magnetic and in-plane loadings. For modeling the plate’s nonlocal behavior and surface stresses, the governing equations are constructed based on Hamilton’s principle. Galerkin method is implemented to solve the equilibrium motions, and also for the authenticity of the solution, the equations are resolved by the Navier’s method. Obtained results are deemed useful for the mechanical analysis and design of nano-/microelectromechanical system nanostructures constructed from the METE materials. The numerical examples indicated that after a particular value of slanted angle of the nanoplate, α ≥ 80, the magnitude of surface energy layers in the vibration behavior becomes opposite to the case when the slanted angles are 0° < α < 80°. In addition, the value of the slanted angle of the nanoplate can cause the harmonic responses of the vibration due to the orthotropic angle of Pasternak foundation to shift in harmony with the slanted angle degree.