基体裂纹与界面刚性线的弹性干涉  

Singular integral equation approach for the elastic interaction of arbitrary cracks and interface rigid line in bimaterials

作　　者：罗紫电[1,2] 刘又文[1] 

机构地区：[1]湖南大学,长沙410082 [2]广东天联工程有限公司,广州510600

出　　处：《应用力学学报》2010年第1期209-213,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10472030)

摘　　要：研究两种材料界面上的刚性线与其它任意位置处直线裂纹弹性干涉的反平面问题。基于界面上刚性线与任意位置处螺型位错干涉的基本解,运用连续位错密度模型法将问题转化为奇异积分方程。用半开型积分法求解奇异积分方程,得到位错密度函数的离散值,计算裂纹尖端处的应力强度因子。算例说明该方法可用于工程实际问题。This paper applies the elastic interaction of arbitrary cracks and interface rigid line in bimaterials under remote antiplane load. First, we use the basic solution to convert the problem of screw dislocation interaction with the interface rigid line and the continuous dislocation model method (CDMM) to a singular integral equation. Second, the semi-open integral principle is used to solve the equation numerically. Finally, we calculate the stress intensity factor at the tip of crack. The analysis method and the solution are of practical value.

关 键 词：螺型位错 界面刚性线 连续位错密度模型法 奇异积分方程 应力强度因子 

分 类 号：O341[理学—固体力学]