Eur. Phys. J. Plus (2016) 131: 238
https://doi.org/10.1140/epjp/i2016-16238-8

Regular Article

Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams

Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

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

Received: 12 November 2015
Accepted: 13 May 2016
Published online: 20 July 2016

Abstract

In this article, buckling behavior of nonlocal magneto-electro-elastic functionally graded (MEE-FG) beams is investigated based on a higher-order beam model. Material properties of smart nanobeam are supposed to change continuously throughout the thickness based on the power-law model. Eringen's nonlocal elasticity theory is adopted to capture the small size effects. Nonlocal governing equations of MEE-FG nanobeam are obtained employing Hamilton's principle and they are solved using the Navier solution. Numerical results are presented to indicate the effects of magnetic potential, electric voltage, nonlocal parameter and material composition on buckling behavior of MEE-FG nanobeams. Therefore, the present study makes the first attempt in analyzing the buckling responses of higher-order shear deformable (HOSD) MEE-FG nanobeams.