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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
引用本文:周振功,王彪.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[J].应用数学和力学,2004,25(7):667-676.
作者姓名:周振功  王彪
作者单位: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
基金项目: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,可以得到其精确解.

关 键 词:界面裂纹  Schmidt方法  对偶积分方程  正交各向异性材料
文章编号:1000-0887(2004)07-0667-10
修稿时间:2003年4月15日

Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode
ZHOU Zhen-gong,WANG Biao.Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode[J].Applied Mathematics and Mechanics,2004,25(7):667-676.
Authors:ZHOU Zhen-gong  WANG Biao
Abstract: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.
Keywords:interfacial crack  Schmidt method  dual integral equation  orthotropic material
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