利用复变函数方法和积分方程理论研究了既含有圆形孔口又含有水平裂纹的无限大平面的平面弹性问题,将复杂的解析函数的边值问题化成了求解只在裂纹上的奇异积分方程的问题.此外,还给出了裂纹尖端附近的应力场和应力强度因子的公式.
The plane elastic problem of an infinite plane with a circular hole and a straight crack is investigated by using the complex variable method and integral equation theory.The complicated boundary value problem of analytic functions was transformed into the problem of a singular integral equation only on the crack.In addition,the stress field near the crack tip and the formula for the stress intensity factor are also derived.