Magnetoelectric effects in laminated multiferroic shells

Article type: Research Article

Authors: Zhang, C.L.^a | Yang, J.S.^{a; b} | Chen, W.Q.^{a; *}

Affiliations: [a] Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R. China | [b] Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526, USA

Correspondence: [*] Corresponding author. Tel.: +86 571 87952284; Fax: +86 571 87952165; E-mail: chenwq@zju.edu.cn

Abstract: Two-dimensional equations for laminated multiferroic shells of piezoelectric and piezomagnetic layers are obtained from the exact three-dimensional equations. Mechanically, the two-dimensional equations represent the so-called first-order theory that describes coupled extensional, flexural and thickness-shear motions. The electric and magnetic fields are described layer by layer. The two-dimensional equations obtained are used to study magnetoelectric coupling in a laminated multiferroic circular cylindrical shell. Both static coupling and the frequency dependence of the coupling in time-harmonic motions are examined.

Keywords: Multiferroic shell, magnetoelectric coupling, statics, time-harmonic motion, two-dimensional theory

DOI: 10.3233/JAE-2008-996

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 28, no. 4, pp. 441-454, 2008