GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 774-781.

GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS

刘金喜¹, 王祥琴², 王彪³

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

收稿日期:2002-01-17 修回日期:2003-03-11 出版日期:2003-07-18 发布日期:2003-07-18
通讯作者: WANG Biao

GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS

LIU Jin-xi¹, WANG Xiang-qin², WANG Biao ³

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

Received:2002-01-17 Revised:2003-03-11 Online:2003-07-18 Published:2003-07-18

摘要/Abstract

摘要： The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differential 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 construct the general solution of transversely isotropic magnetoelectroelastic media.

Abstract: The coupling feature of transversely isotropic magnetoelectroelastic solids are governed by a system of five partial differential 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 construct the general solution of transversely isotropic magnetoelectroelastic media.

中图分类号:

O343

刘金喜;王祥琴;王彪. GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 774-781.

LIU Jin-xi;WANG Xiang-qin;WANG Biao . GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 774-781.

参考文献

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GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS

GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS

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