Two-Dimensional Static Fields in Magnetoelectroelastic Laminates

The two-dimensional behavior of laminated magnetoelectroelastic plates is investigated for two specific geometries: laminates under conditions of cylindrical bending and homogeneous plates under traction-free conditions. These plates are composed of a collection of elastic, piezoelectric, and magnetostrictive layers with perfect bonding between each interface. We investigate the through-thickness behavior of the five primary unknowns (the three displacements and the electric and magnetic potentials) under a variety of boundary conditions and aspect ratios using a discrete-layer theory. Results are compared with exact solutions for the case of cylindrical bending and finite element models for traction-free deformation. Excellent agreement is found between the approaches, and generalizations regarding global plate behavior are summarized.