截锥面形界面裂纹尖端附近应力奇异性分析

摘要

扩展到界面的环形裂纹偏离垂直界面的位置，就形成截锥面形界面裂纹．裂纹尖端应力奇异性指数大小不仅依赖于两相材料常数α和β，同时也依赖于锥角的大小．据此利用渐近展开和分离变量相结合的方法对裂尖奇异性指数的变化进行了分析．结果表明，随着锥角和α，β的变化，会出现振荡奇异，当锥角为零，截锥面裂纹变为圆柱形界面裂纹．%The conic - shaped crack comes from the inclined circular crack perpendicular to and terminating at a bimaterials interface. The stress field near the conic - shaped crack tip is singular and the singularity exponent depends not only on Dundurs parameters α andβ, but also on the conic angle. With the method of asymptotic and variable separation, the stress singularity near the conic - shaped crack tip at a bi - material interface is fulfilled. The results show that the singularity exponent may be real or complex number while the conic angle and Dundurs parameters change in large scale. The conic - shaped creck will become a circular crack while the value of the conic angle is zero.