標題: Geometrically-induced singularities in functionally graded magneto-electro-elastic wedges
作者: Huang, C. S.
Hu, C. N.
土木工程學系
Department of Civil Engineering
關鍵字: Singularities;Magnet-electro-elastic wedge;Functional graded material;Three-dimensional asymptotic solution
公開日期: 1-十二月-2014
摘要: Asymptotic solutions are proposed for geometrically-induced magneto-electro-elastic (MEE) singularities at the vertex of a rectilinearly polarized wedge that is made of functionally graded magneto-electro-elastic (FGMEE) materials. The material properties are assumed to vary along the thickness, of the wedge, and the direction of polarization may not be parallel or perpendicular to the thickness direction. An eigenfunction expansion approach with the power series solution technique and domain decomposition is adopted to establish the asymptotic solutions by directly solving the three-dimensional equations of motion and Maxwell\'s equations in terms of mechanical displacement components and electric and magnetic potentials. Since the direction of polarization can be arbitrary in space, the in-plane components of displacement, electric and magnetic fields are generally coupled with the out-of-plane components. The solutions are presented here for the first time. The correctness of the proposed solutions is confirmed by comparing the orders of MEE singularities with the published results for wedges under anti-plane deformation and in-plane electric and magnetic fields. The proposed solutions are further employed to investigate the effects of the direction of polarization, vertex angle, boundary conditions and material-property gradient index on the MEE singularities in BaTiO3-CoFe2O4 wedges. (C) 2014 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.ijmecsci.2014.09.009
http://hdl.handle.net/11536/124269
ISSN: 0020-7403
DOI: 10.1016/j.ijmecsci.2014.09.009
期刊: INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume: 89
起始頁: 242
結束頁: 255
顯示於類別:期刊論文


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