不连续位移超奇异积分方程法解三维多裂纹问题  

DISPLACEMENT DISCONTINUITY SUPER-SINGULAR INTEGRAL EQUATION METHODS TO SOLVE THREE-DIMENSIONAL MULTI- CRACK PROBLEMS

作　　者：朱先奎[1] 刘光廷[1] 

机构地区：[1]清华大学水利水电工程系

出　　处：《工程力学》1997年第2期82-89,共8页Engineering Mechanics

基　　金：国家自然科学基金;水利部重点科研基金

摘　　要：本文采用Ｂｅｔｉ互等功定理，导出了三维不连续位移基本解的一般形式，然后以该基本解为核函数，建立了求解三维多裂纹问题的超奇异边界积分方程组，并采用三角形单元变换技术和有限部分积分的方法给出了超奇异积分的数值解法，引入非协调单元处理技术解决了法向不确定的角点问题。最后。Making use of the Betti reciprocal work theorem, this paper derives the general fundamental solutions of displacement discontinuity in three dimensions, and then establishes the displacement discontinuity super-singular integral equations to solve three-dimensional multi-crack problems, in which the super-singular integral calculations are given by adopting the triangle element transformation and the finite-partial integral, and the angular point problems are solved by introducing inharmonical elements. Finally, stress intensity factors can be directly calculated by the discontinuity displacements of cracks.

关 键 词：不连续位移 超奇异积分 三维多裂纹 裂纹扩展 

分 类 号：O346.1[理学—固体力学]