| 横观各向同性电磁弹性固体耦合方程的一般解 |
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| 引用本文： | 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[J].应用数学和力学,2003,24(7):684-690. |
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| 作者姓名： | 刘金喜 王祥琴 王彪 |
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| 作者单位： | 1.石家庄铁道学院力学与工程科学系, 石家庄 050043; |
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| 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.
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| 关 键 词： | 电磁弹性固体 一般解 势函数 |
| 文章编号： | 1000-0887(2003)07-0684-07 |
| 收稿时间： | 2002-01-17 |
| 修稿时间： | 2002年1月17日 |
General Solution for the Coupled Equations of Transversely Isotropic Magnetoelectroelastic Solids |
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| Institution: | 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 |
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| 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. |
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| Keywords: | magnetoelectroelastic solids general solution potential function |
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