横观各向同性电磁弹性固体耦合方程的一般解  

General Solution for the Coupled Equations of Transversely Isotropic Magnetoelectroelastic Solids

作　　者：刘金喜[1] 王祥琴[2] 王彪[3] 

机构地区：[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

出　　处：《应用数学和力学》2003年第7期684-690,共7页Applied Mathematics and Mechanics

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。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.

关 键 词：电磁弹性固体 一般解 势函数 

分 类 号：O343[理学—固体力学]