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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Armbruster, Dieter / Chen, Xi / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi

IMPACT FACTOR 2017: 1.162

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Volume 19, Issue 3-4


Nonlinear Bending of Rectangular Magnetoelectroelastic Thin Plates with Linearly Varying Thickness

Feng Wang / Yu-fang Zheng / Chang-ping Chen
Published Online: 2018-04-21 | DOI: https://doi.org/10.1515/ijnsns-2015-0105


With employing the von Karman plate theory, and considering the linearly thickness variation in one direction, the bending problem of a rectangular magnetoelectroelastic plates with linear variable thickness is investigated. According to the Maxwell’s equations, when applying the magnetoelectric load on the plate’s surfaces and neglecting the in-plane electric and magnetic fields in thin plates, the electric and magnetic potentials varying along the thickness direction for the magnetoelectroelastic plates are determined. The nonlinear differential equations for magnetoelectroelastic plates with linear variable thickness are established based on the Hamilton’s principle. The Galerkin procedure is taken to translate a set of differential equations into algebraic equations. The numerical examples are presented to discuss the influences of the aspect ratio and span–thickness ratio on the nonlinear load–deflection curves for magnetoelectroelastic plates with linear variable thickness. In addition, the induced electric and magnetic potentials are also presented with the various values of the taper constants.

Keywords: linearly varying thickness; magnetoelectroelastic plates; nonlinear bending; Galerkin truncation

PACS: 46.25Hf; 46.70.De

MSC 2010: 74F15; 74B20


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About the article

Received: 2015-07-24

Accepted: 2018-02-04

Published Online: 2018-04-21

Published in Print: 2018-06-26

The project was supported by the National Natural Science Foundation of China (Grant No. 51778551), the Natural Science Foundation of Fujian Province (Grant No. 2012J01009), and the Education Department of Fujian Province (Grant No. JA14050).

Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 19, Issue 3-4, Pages 351–356, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2015-0105.

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