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.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2001年第10期1491-1496,共6页
Journal of Shanghai Jiaotong University
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
bimaterial
incline crack
interface normal stress fields
interface singular stress fields
