Eur. Phys. J. Plus (2016) 131: 346
https://doi.org/10.1140/epjp/i2016-16346-5

Regular Article

Magneto-electro-elastic buckling analysis of nonlocal curved nanobeams

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

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

Received: 27 May 2016
Accepted: 24 August 2016
Published online: 30 September 2016

Abstract

In this work, a size-dependent curved beam model is developed to take into account the effects of nonlocal stresses on the buckling behavior of curved magneto-electro-elastic FG nanobeams for the first time. The governing differential equations are derived based on the principle of virtual work and Euler-Bernoulli beam theory. The power-law function is employed to describe the spatially graded magneto-electro-elastic properties. By extending the radius of the curved nanobeam to infinity, the results of straight nonlocal FG beams can be rendered. The effects of magnetic potential, electric voltage, opening angle, nonlocal parameter, power-law index and slenderness ratio on buckling loads of curved MEE-FG nanobeams are studied.