LIU Jin-xi, WANG Xiang-qin, WANG Biao. General Solution for the Coupled Equations of Transversely Isotropic Magnetoelectroelastic Solids[J]. Applied Mathematics and Mechanics, 2003, 24(7): 684-690.
Citation: LIU Jin-xi, WANG Xiang-qin, WANG Biao. General Solution for the Coupled Equations of Transversely Isotropic Magnetoelectroelastic Solids[J]. Applied Mathematics and Mechanics, 2003, 24(7): 684-690.

General Solution for the Coupled Equations of Transversely Isotropic Magnetoelectroelastic Solids

  • Received Date: 2002-01-17
  • Rev Recd Date: 2003-03-11
  • Publish Date: 2003-07-15
  • The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differnetial equations with respect to the elastic displacements,the electric potential and the magnetic potential.Based on the potential theory,the coupled equations are reduced to the five uncoupled generalized Laplace equations with respect to five potential functions.Further,the elastic fields and electromagnetic fields are expressed in terms of the potential functions.These expressions constitute the general solution of transversely isotropic magnetoelectroelastic media.
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  • [1]
    Avellaneda M,Harshe G.Magnetoelectric effect in piezoelectric/magnetostrictive multilayer(2-2)composite[J].J Intell Mater Syst Struct,1994,5(4):501-513.
    [2]
    Alshits V I,Darinskii A N,Lothe J.On the existence of surface waves in half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties[J].Wave Motion,1992,16(3):265-283.
    [3]
    Alshits V I,Barnett D M,Darinskii A N,et al.On the existence problem for localized acoustic waves on the interface between two piezocrystals[J].Wave Motion,1994,20(4):233-244.
    [4]
    Alshits V I,Kirchner K O K,Ting T C T.Angularly inhomogeneous piezoelectric piezomagnetic magnetoelectric anisotropic media[J].Phil Mag Lett,1995,71(5):285-288.
    [5]
    Chung M Y,Ting T C T.The Green function for a piezoelectric piezomagnetic magnetoelectric anisotropic elastic medium with an elliptic hole or rigid inclusion[J].Phil Mag Lett,1995,72(6):405-510.
    [6]
    Kirchner H O K,Alshits V I.Ealstically anisotropic angularly inhomogeneous media-Ⅱ:The Green's function for piezoelectric,piezomagnetic and magnetoelectric media[J].Phil Mag,1996,74(4):861-885.
    [7]
    LIU Jin-xi,LIU X L,Zhao Y B.Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack[J].Int J Engng Sci,2001,39(12):1405-1418.
    [8]
    Benvensite Y.Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases[J].Phys Rev B,1994,51(22):16424-16427.
    [9]
    Huang J H,Kuo W S.The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusions[J].J Appl Phys,1997,81(3):1378-1386.
    [10]
    Huang J H,Chiu Y H,Liu H K.Magneto-electro-elastic Eshelby tensors for a piezoelectric-piezomagnetic composite reinforced by ellipsoidal inclusions[J].J Appl Phys,1998,83(10):5364-5370.
    [11]
    Huang J H,Liu H K,Dai W L.The Optimized fiber volume fraction for magnetoelectric coupling effect in piezoelectric-piezomagnetic continuous fiber reinforced composites[J].Int J Engng Sci,2000,38(11):1207-1217.
    [12]
    LI J Y,Dunn M L.Anisotropic coupled-field inclusion and inhomogeneity problems[J].Phil Mag,1998,77(5):1341-1350.
    [13]
    Li J Y.Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials[J].Int J Engng Sci,2000,38(18):1993-2011.
    [14]
    Fabricant V I.Application of Potential Theory in Mechanics[M].Dordrecht:Kluwer Academic Publishers,1989.
    [15]
    Wang Z K,Zheng B L.The general Solution of three-dimensional problems in piezoelectric media[J].Int J Solids Strut,1995,32(11):105-115.
    [16]
    Podil'chuk Y N.Representation of the general solution of static equations of the electroelasticity of a transversely isotropic piezoceramic body in terms of harmonic function[J].Int A ppl Mech,1998,34(7):623-628.
    [17]
    Chen W Q.On the application of potential theory in piezoelectricity[J].J Appl Mech,1996,66(3):808-811.
    [18]
    Karapetian E,Sevostianov I,Kachanov M.Point force and point electric charge in infinite and semiinfinite transversely isotropic piezoelectric solids[J].Phil Mag B,2000,80(3):331-359.
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