位于两不同正交各向异性半平面间张开型界面裂纹的性能分析  

Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode

作　　者：周振功[1] 王彪[1] 

机构地区：[1]哈尔滨工业大学复合材料研究所和光电技术中心,哈尔滨150001

出　　处：《应用数学和力学》2004年第7期667-676,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10172030;50232030);黑龙江省自然科学基金资助项目(A0301)

摘　　要：　利用Schmidt方法分析了位于正交各向异性材料中的张开型界面裂纹问题·　经富立叶变换使问题的求解转换为求解两对对偶积分方程,其中对偶积分方程的变量为裂纹面张开位移·　最终获得了应力强度因子的数值解·　与以前有关界面裂纹问题的解相比,没遇到数学上难以处理的应力振荡奇异性,裂纹尖端应力场的奇异性与均匀材料中裂纹尖端应力场的奇异性相同·　同时当上下半平面材料相同时。The behaviors of an interface crack between dissimilar orthotropic elastic half-planes subjected to uniform tension was reworked by use of the Schmidt method.By use of the Fourier transform,the problem can be solved with the help of two pairs of dual integral equations,of which the unknown variables are the jumps of the displacements across the crack surfaces.Numerical examples are provided for the stress intensity factors of the cracks.Contrary to the previous solution of the interface crack,it is found that the stress singularity of the present interface crack solution is of the same nature as that for the ordinary crack in homogeneous materials.When the materials from the two half planes are the same,an exact solution can be otained.

关 键 词：界面裂纹 Schmidt方法 对偶积分方程 正交各向异性材料 

分 类 号：O346.53[理学—固体力学]