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A Transversely Isotropic Magne to -Elec tro-elastic Circular Kirchhoff plate Model Incorporating Microstructure Effect

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Acta Mechanica Solida Sinica 2022年第2期35卷 185-197页

作者： Wei Shen Gongye Zhang Shuitao Gu Yu Cong School of Civil Engineering Chongqing UniversityChongqing 400044China Jiangsu Key Laboratory of Engineering Mechanics School of Civil EngineeringSoutheast UniversityNanjing 210096China LMEE University Paris-SaclayUniv Evry91020EvryFrance

A non-classical model for transversely isotropic magneto-electro-elastic circular Kirchhoff plates is established based on the extended modified couple stress *** Gibbs-type variational principle is used to obtain the governing equations and boundary cond计*** illustrate the newly derived model,the static bending problem of a clamped circular plate subjected to a uniformly distributed constant load is solved numerically by Fourier-Bessel *** numerical results show that the values of transverse displacement,electric and magnetic potentials predicted by the current model are always smaller than those of the classical model,and the differences are diminishing as the plate thickness *** addition,it is shown that the magneto-electro-elastic coupling effect plays an important role in the transverse displace-ment,elec trie pot ential and magnetic pot ential of the magne to-elec tr o-elastic circular Kirchhoff ***,several reduced specific models are provided for simpler cases.

关键词： Circular Kirchhoff plate magneto-electro-elastic plate Microstructure effect Couple stress theory Static bending

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FREE VIBRATION OF FIXED SUPPORTED AND MULTILAYERED magneto-electro-elastic plateS

FREE VIBRATION OF FIXED SUPPORTED AND MULTILAYERED MAGNETO-E...

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2012全国压电和声波理论及器件技术研讨会

作者： Li-bo XIN Zhen-dong HU School of Aerospace Engineering and Applied Mechanics Tongji University

Semi-analytical finite element method is applied to study the free vibration of multilayered,anisotropic magneto-electro-elastic plates.A series solution is assumed in the plane to satisfy the fixed boundary *** finite element procedure is adopted across the thickness of the *** the finite element model is derived based on the constitutive equation of magneto-electro-elastic *** components,electric potential and magnetic potential is taken as the nodal degree of *** numerical results are compared with the solutions in *** influence of magnetic-electro-elastic properties are studied.

关键词： Finite element method magneto-electro-elastic plate Free vibration Multilayered

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