Exact solution for simply supported and multilayered magneto-electro-elastic plates

Exact solutions are derived for three-dimensional, anisotropic, linearly ma gneto-electro-elastic, simply-supported, and multilayered rectangular plate s under static loadings. While the homogeneous solutions are obtained in te rms of a new and simple formalism that resemble the Stroh formalism, soluti ons for multilayered plates are expressed in terms of the propagator matrix . The present solutions include all the previous solutions, such as piezoel ectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories and num erical methods used for the modeling of layered composite structures. Typic al numerical examples are presented and discussed for layered piezoelectric /piezomagnetic plates under surface and internal loads.