横观各向同性电磁弹性固体耦合方程的一般解

刘金喜; 王祥琴; 王彪

横观各向同性电磁弹性固体耦合方程的一般解

1.
石家庄铁道学院力学与工程科学系, 石家庄 050043;
2.
石家庄铁道学院交通工程系, 石家庄 050043;
3.
哈尔滨工业大学光电信息技术中心, 哈尔滨 150061

详细信息

作者简介:
刘金喜(1961- ),河北武强人,教授,博士(E-mail:liujx@sjzri.edu.cn).

中图分类号: O343
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- 被引次数: 0
出版历程
- 收稿日期: 2002-01-17
- 修回日期: 2003-03-11
- 刊出日期: 2003-07-15

General Solution for the Coupled Equations of Transversely Isotropic Magnetoelectroelastic Solids

1.
Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China;
2.
Department of Communication Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China;
3.
Electro-Optics Technology Center, Harbin Institute of Technology, Harbin 150001, P. R. China

摘要

摘要: 横观各向同性电磁弹性固体的耦合特征由5个关于弹性位移、电位和磁位的二阶偏微分方程控制.基于势函数理论,耦合的方程组被简化为5个非耦合的关于势函数的广义Laplace方程.弹性场和电磁场由势函数表示,这构成了横观各向同性电磁弹性固体的一般解.
- 电磁弹性固体 /
- 一般解 /
- 势函数
Abstract: 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.
- magnetoelectroelastic solids /
- general solution /
- potential function

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参考文献(18)

[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.