两相材料倾斜裂纹的界面应力场  

The Interface Stress Fields of Bimaterial Incline Crack

作　　者：高闯[1] 汤任基[1] 

机构地区：[1]上海交通大学建筑工程与力学学院,上海200030

出　　处：《上海交通大学学报》2001年第10期1491-1496,共6页Journal of Shanghai Jiaotong University

摘　　要：采用 Muskhelishvili复变函数的方法 ,将两相材料倾斜裂纹问题归结为以裂纹表面位错密度函数为未知量的 Cauchy型奇异积分方程的求解 .通过 Cauchy型奇异积分的主部分析 ,得到倾斜裂纹接触界面时性态指数的特征方程 ,给出的数值结果可对奇异积分方程进行数值求解 .根据两相材料倾斜裂纹在界面上产生的应力场与位错密度函数的关系 ,得到界面常规应力场及奇性应力场表达式 .最后对两相材料的界面应力场进行了数值求解和分析 。By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions. The singular index characteristic equation was obtained through the principal value analysis and numerically solved. Thus the singular integral equations were solved numerically. The equations of the interface normal and singular stress fields were obtained according to the relations between the interface stress fields caused by the bimaterial incline crack and the dislocation density functions. Finally, the bimaterial interface stress fields were analyzed numerically and the solution is satisfactory.

关 键 词：两相材料 倾斜裂纹 界面常规应力场 界面奇性应力场 

分 类 号：O346.1[理学—固体力学]