利用复变函数方法,通过构造保角映射,分析了椭圆孔边裂纹问题,给出了裂纹以速度v传播时的Ⅰ-Ⅱ型应力强度因子的动力学解。当v→0时动力学解还原为已有的静力学解,在极限情形下,还可以还原为圆形孔边裂纹,T型裂纹问题的动态应力强度因子。这些解在工程断裂研究中有着潜在的应用价值。
By means of the complex variable function method and using the technique of conformal mapping,the problem about an elliptic hole with a dynamic edge crack is solved and the solution of the dynamic stress intensity factor(SIFs) for mode Ⅰ-Ⅱ is obtained.When the crack velocity v→0,the dynamic solution can reduce to the static solution.Under the condition of limitation,many new results can be obtained as well,including a circular hole with dynamic edge-crack,"T-shaped" dynamic edge crack.These solutions are with great potential in science engineering applications.