夹杂和裂纹相互影响时的界面应力分析  

The Interface Stress Analysis for the Crack-inclusion Interaction

作　　者：陶昉敏[1] 汤任基[1] 

机构地区：[1]上海交通大学,上海200030

出　　处：《力学季刊》2001年第4期489-496,共8页Chinese Quarterly of Mechanics

摘　　要：本文结合无限域上单根夹杂和单根裂纹的基本解,将裂纹与夹杂相互作用的问题归结为解一组柯西型奇异积分的积分方程组,使问题得到解决。本文还使用夹杂两侧的未知界面应力差,进一步推导了夹杂两侧的界面应力,并做了数值计算。有关这方面的计算可以作为研究与设计纤维与基体的联结强度的工程参考。In this paper, by use of the basic solution of single inclusion and single crack in infinite region, the interaction problem of inclusion-crack is reduced to solve a set of Cauchy-type singular equations. Besides, the interface stresses of two sides of the inclusion by employing the discontinuity of the inclusion interface stresses. Some typical numerical examples are given. The results in this paper could be regarded as a reference to engineering.

关 键 词：夹杂 裂纹 相互作用 界面应力 应力分析 无限域 柯西型奇异积分 未知界面应力差 短纤维 

分 类 号：O346.1[理学—固体力学] TB301[理学—力学]