A boundary integral formulation and solution for 2D problems in magneto-electro-elastic media

被引:44
|
作者
Ding, HJ
Jiang, AM [2 ]
机构
[1] Zhejiang Univ, Dept Civil Engn, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, West Branch, Quzhou 324006, Peoples R China
基金
中国国家自然科学基金;
关键词
magneto-electro-elastic media; plane problem; harmonic function; fundamental solution; boundary integral formulation;
D O I
10.1016/j.compstruc.2004.05.006
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The general solution for the plane problem of magneto-electro-elastic media is derived in terms of four harmonic functions using strict differential operator theory for the case of distinct material eigenvalues. The two-dimensional fundamental solution for an infinite magneto-electro-elastic plane is further obtained by virtue of the trial-and-error method on the basis of the general solution. A boundary element method program is finally implemented to perform the numerical calculations. It is found that the BEM results agree well with those of the two exact solutions, which are also derived in this paper. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1599 / 1607
页数:9
相关论文
共 50 条
  • [1] Fast multipole boundary element analysis for 2D problems of magneto-electro-elastic media
    Zhu, Xingyi
    Huang, Zhiyi
    Jiang, Aiming
    Chen, W. Q.
    Nishimura, N.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, 34 (11) : 927 - 933
  • [2] Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation
    丁皓江
    江爱民
    Science in China(Series E:Technological Sciences), 2003, (06) : 607 - 619
  • [3] Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation
    Ding, HJ
    Jiang, AM
    SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 2003, 46 (06): : 607 - 619
  • [4] Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation
    Haojiang Ding
    Aimin Jiang
    Science in China Series E: Technological Sciences, 2003, 46 : 607 - 619
  • [5] Fracture analysis in 2D magneto-electro-elastic media by the boundary element method
    Dong, C. Y.
    Lo, S. H.
    Antes, H.
    COMPUTATIONAL MECHANICS, 2008, 41 (02) : 207 - 217
  • [6] 2D Problems in Magneto-electro-elastic Materials with a Nano-crack
    Stoynov, Y.
    Dineva, P.
    Rangelov, T.
    PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19), 2019, 2172
  • [7] A BOUNDARY INTEGRAL FORMULATION AND 2D FUNDAMENTAL SOLUTION FOR PIEZOELASTIC MEDIA
    LEE, JS
    JIANG, LZ
    MECHANICS RESEARCH COMMUNICATIONS, 1994, 21 (01) : 47 - 54
  • [8] The boundary contour method for magneto-electro-elastic media with linear boundary elements
    West Branch, Zhejiang University of Technology, Zhejiang Quzhou, 324000, China
    不详
    Comput. Mater. Continua, 2006, 1 (1-11):
  • [9] The boundary contour method for magneto-electro-elastic media with linear boundary elements
    Jiang, Aimin
    Ding, Haojiang
    CMC-COMPUTERS MATERIALS & CONTINUA, 2006, 3 (01): : 1 - 11
  • [10] The boundary contour method for magneto-electro-elastic media with quadratic boundary elements
    Aimin, Jiang
    Guoquan, Wu
    Hongfin, Qiu
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (18-19) : 6220 - 6231