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On dispersion relations of waves in multilayered magneto-electro-elastic plates

机译：多层电磁电弹性板中波的色散关系

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摘要

The dispersion behavior of waves in a layered magneto-electro-elastic plate is studied. Formulations are given for open-circuit surface and short-circuit surface, respectively. Legen-dre orthogonal polynomial series approach is employed to solve the coupling magneto-electro-elastic controlling equations. The obtained dispersion curves for the open-circuit surface are compared with the published data to confirm the validity of the method. Through numerical examples, the convergence of the method is discussed. The differences of the two boundaries are illustrated. The influences of the piezoelectricity and piezomag-netism are illustrated and the influential factors of the piezoelectric and piezomagnetic effect are discussed. Finally, the influences of the volume fraction and stacking sequence on the piezoelectric effect and piezomagnetic effect are discussed.
机译：研究了波在层状磁电弹性板上的色散行为。分别给出了开路表面和短路表面的配方。采用Legen-dre正交多项式级数法求解耦合的磁电弹性控制方程。将获得的开路表面色散曲线与公开数据进行比较，以确认该方法的有效性。通过数值算例，讨论了该方法的收敛性。说明了两个边界的差异。阐述了压电效应和压电效应的影响，并讨论了压电效应和压电效应的影响因素。最后，讨论了体积分数和堆积顺序对压电效应和压电效应的影响。

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