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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

周振功 王彪

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.
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.
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.
Citation: 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.

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

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)
详细信息
    作者简介:

    周振功(1963- ),男,河南省镇平县人,博士,教授,博导(联系人.Tel:+86-451-86412613;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

  • 中图分类号: O346.53

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

  • 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.
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出版历程
  • 收稿日期:  2003-04-15
  • 修回日期:  2004-03-10
  • 刊出日期:  2004-07-15

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