Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation  

作　　者：丁皓江 江爱民 

机构地区：[1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China [2]West Branch of Zhejiang University of Technology, Quzhou 324006, China

出　　处：《Science China(Technological Sciences)》2003年第6期607-619,共13页中国科学（技术科学英文版）

摘　　要：To obtain the fundamental solutions for computation of magneto-electro-elastic media by the boundary element method, the general solutions in the case of distinct eigenvalues are de-rived and expressed in five harmonic functions from the governing equations and the strict differ-ential operator theorem. On the basis of these general solutions, the fundamental solution of infi-nite magneto-electro-elastic solid are obtained with the method of trial-and-error. Finally, the boundary integral formulation is derived and the corresponding boundary element method program is implemented to perform two numerical calculations(a column under uni-axial tension, uniform electric displacement or uniform magnetic induction, an annular plate simply-supported on outer and inner surfaces under axial loads). The numerical results agree well with the analytical ones.To obtain the fundamental solutions for computation of magneto-electro-elastic media by the boundary element method, the general solutions in the case of distinct eigenvalues are derived and expressed in five harmonic functions from the governing equations and the strict differential operator theorem. On the basis of these general solutions, the fundamental solution of infinite magneto-electro-elastic solid are obtained with the method of trial-and-error. Finally, the boundary integral formulation is derived and the corresponding boundary element method program is implemented to perform two numerical calculations (a column under uni-axial tension, uniform electric displacement or uniform magnetic induction, an annular plate simply-supported on outer and inner surfaces under axial loads). The numerical results agree well with the analytical ones.

关 键 词：transversely ISOTROPIC MAGNETO-ELECTRO-ELASTIC media  FUNDAMENTAL solution  boundary INTEGRAL formulation. 

分 类 号：TB381[一般工业技术—材料科学与工程]