Surface and interface effects on the bending behavior of nonlinear multilayered magnetoelectric nanostructures

Abstract

Abstract Surface effects have important influence on the magneto-electro-elastic behavior of nanomaterials , and interface effects have important influence on the bending of ME structures at the micron size and millimeter size. In this work, we introduce these two types of effects into Kirchhoff’s thin plate theory to study the nonlinear magneto-electro-elastic coupling of a multilayered magnetoelectric (ME) nanostructure . The layered structure is taken to consist of a nonlinear magnetostrictive material and a linear piezoelectric material with their magnetization and polarization directions pointing in the thickness direction. The governing equations of static bending of such multilayered nanostructures are derived, and analytical expressions of deflection under uniform magnetic field and external load are obtained. The influence of magnetic field on the deflection of ME circular-shaped multilayer nanostructure is studied. Finally, the influences of surface and interface effects, and of the applied electric potential and magnetic potential, on the bending characteristics of ME multilayer are analyzed. The obtained results could provide guidelines for the design and applications of various nano devices.