An exact deformation analysis for the magneto-electro-elastic fiber-reinforced thin plate

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Abstract

A closed form expressions for bending problem of magneto-electro-elastic (MEE) rectangular thin plates are derived, the exact solutions for the deformation behaviors of the fiber-reinforced BaTiO 3/CoFe 2O 4 composites subjected to certain types of surface loads are analytically obtained. Based on Kirchhoff thin-plate theory, structural characteristics such as elastic displacements, electric potential and magnetic induction for magneto-electro-elastic (MEE) rectangular plates are investigated, the governing equation in terms of the transverse displacement is presented in a rather compact form due to the omission of the transverse shear deformation and rotatory inertia. The material coefficients for the MEE plate can be uniquely expressed by the volume-fraction (v.f.) of piezoelectric constituent BaTiO 3 in the fiber-reinforced composite, and are tabulated with 25% offset of the volume-fraction. The deformation variations of the MEE thin plate with closed-circuit electric restriction are evaluated analytically according to their specified boundary conditions, and the effects of the volume-fractions on the deformations variations are discussed. It can be found that all the results obtained by using the proposed model have reached good agreements with the other available research works, whereas, the present study provides a much simpler way in seeking the analytic solutions for the interactively coupled quantities of a multiphase medium. © 2010 Elsevier Inc.

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Liu, M. F. (2011). An exact deformation analysis for the magneto-electro-elastic fiber-reinforced thin plate. Applied Mathematical Modelling, 35(5), 2443–2461. https://doi.org/10.1016/j.apm.2010.11.044

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