航空学报 > 2007, Vol. 28 Issue (增): 125-130

三维磁电热弹材料裂纹问题的超奇异积分方法

朱伯靖,秦太验   

  1. 中国农业大学  理学院
  • 收稿日期:2006-10-25 修回日期:2006-12-25 出版日期:2007-08-10 发布日期:2007-08-10
  • 通讯作者: 秦太验

Hypersingular Integral Equation Approach Method for Threedimensional Crack in  Electro-magneto-thermo-elastic Multiphase Composites

ZHU Bo-jing,QIN Tai-yan   

  1. College of Science, China Agricultural University
  • Received:2006-10-25 Revised:2006-12-25 Online:2007-08-10 Published:2007-08-10
  • Contact: QIN Taiyan

摘要:

应用位移基本解,磁电热弹材料三维裂纹问题被转化为求解一组以裂纹表面位移间断为未知函数的超奇异积分方程问题。进而,采用主部分析法得到了裂纹尖端的应力奇异指数及奇性应力场的解析表达式。然后,通过将裂纹表面位移间断未知函数表达为位移间断基本密度函数,使用有限部积分方法对超奇异积分方程组建立了数值方法。最后,通过典型算例计算,得到广义应力强度因子的变化规律。

关键词: 磁电热弹, 三维裂纹, 超奇异积分方程, 应力强度因子

Abstract:

Using the Green’s functions,the extended general displacement solutions of threedimensional crack problem in electro magneto thermo elastic multiphase composites under extended loads are analyzed by boundary element method. Then,this crack problem is reduced to solving a set of hypersingular integral equations coupled with boundary integral equations. The singularity of the extended discontinuity displacement around the crack front terminating at the interface is obtained with the main-part analysis method of hypersingular integral equations.

Key words: electromagnetothermoelastic,  , threedimensional , crack,  , hypersingular , integral , equations,  , stress , intensity , factor

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