Eur. Phys. J. Plus (2018) 133: 97
https://doi.org/10.1140/epjp/i2018-11910-7

Regular Article

Thermo-magnetic field effects on the wave propagation behavior of smart magnetostrictive sandwich nanoplates

¹ Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
² School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

^* e-mail: febrahimy@eng.ikiu.ac.ir

Received: 9 November 2017
Accepted: 23 January 2018
Published online: 8 March 2018

Abstract

In this paper, a three-variable plate model is utilized to explore the wave propagation problem of smart sandwich nanoplates made of a magnetostrictive core and ceramic face sheets while subjected to thermo-magnetic loading. Herein, the magnetostriction effect is considered and controlled via a feedback control system. The nanoplate is supposed to be embedded on a visco-Pasternak elastic substrate. The kinematic relations are derived based on the Kirchhoff plate theory; also, combining these obtained equations with Hamilton’s principle, the local equations of motion are achieved. According to a nonlocal strain gradient theory (NSGT), the small-scale influences are covered precisely by introducing two scale coefficients. Afterwards, the nonlocal governing equations are derived coupling the local equations with those of the NSGT. Applying an analytical solution, the wave frequency and phase velocity of the propagated waves can be gathered solving an eigenvalue problem. On the other hand, accuracy and efficiency of the presented model are verified by setting a comparison between the obtained results with those of previous published researches. Effects of different variants are plotted in some figures and the highlights are discussed in detail.