Three-dimensional analytical solution for hybrid multilayered piezoelectric plates

Analytical solutions for the static three-dimensional deformations of multi layered piezoelectric rectangular plates are obtained by using the Eshelby- Stroh formalism. The laminated plate consists of homogeneous elastic or pie zoelectric laminae of arbitrary thicknesses. The equations of static, linea r, piezoelectricity are exactly satisfied at every point in the body. The a nalytical solution is in terms of an infinite series; the continuity condit ions at the interfaces and boundary renditions at the edges are used to det ermine the coefficients. The formulation admits different boundary conditio ns at the edges and is applicable to thick and thin laminated plates. Resul ts are presented for thick piezoelectric plates with two opposite edges sim ply supported and the other two subjected to various boundary conditions.