Abstract
We derive one-dimensional equations for the extension and flexure with shear deformationof a piezoelectromagnetic beam with rectangular cross section from three-dimensionalequations. The equations obtained are used to analyze magnetoelectric effects infibers of piezoelectric/piezomagnetic composites. Both static magnetoelectriceffects and frequency-dependent magnetoelectric effects in time-harmonic motionsare examined. Various material and field orientations are considered. We alsomake comparisons between magnetoelectric effects in fibers and in thin films onsubstrates. Two-dimensional equations for laminated piezoelectric/piezomagneticplates are used in the analysis of the thin films. It is found that magnetoelectriceffects in fibers are significantly stronger than those in thin films on substrates.
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