Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation
Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation作者机构:Department of Civil Engineering Zhejiang University Hangzhou 310027 China West Branch of Zhejiang University of Technology Quzhou 324006 China
出 版 物:《Science China(Technological Sciences)》 (中国科学(技术科学英文版))
年 卷 期:2003年第46卷第6期
页 面:607-619页
核心收录:
学科分类:0810[工学-信息与通信工程] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0702[理学-物理学] 0812[工学-计算机科学与技术(可授工学、理学学位)]
主 题:transversely isotropic magneto-electro-elastic media, fundamental solution, boundary integral formulation.
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.