利用复变函数方法研究了带有半椭圆形缺口的半平面在缺口处受均匀正压力时的复应力函数的解析表达式,给出了应力场分布.在极限情况下得到带有半圆形缺口和带有限长边界裂纹的半平面在相应的受力情况下的复应力函数和应力场,分析了裂纹端点处应力的奇异性.
Using the complex variable method,the analytical solution of the stress function and the stress distribution for the half-plane with a semi-elliptical notch are obtained.Under the limiting conditions,the stress functions and the stress distributions for a half-plane with a semi-circular notch and with a finite edge crack are derived.And then we analyze the singularity of the stress at crack tip.