摘要
Aim The general arbitrary cracked problem in an elastic plane was discussed. Methods For the purpose of acquiring the solution of the problem, a new formulation on the problem was proposed. Compared with the classical plane elastic crack model, only the known conditions were revised in the new formulation, which are greatly convenient to solve the problem, and no other new condition was given. Results and Conclusion The general exact analytic solution is given here based on the formulation though the problem is very complicated. Furthermore, the stress intensity factors K Ⅰ, K Ⅱ of the problem are also given.
目的 讨论弹性平面中的一般裂纹问题． 方法 为了求得问题的解，给出了此类问题的一种新提法． 在新提法中，与经典的裂纹模型相比较，不需要增加已知条件，而只需做一些调整，这为此类复杂裂纹模型的求解带来了很大的方便． 结果与结论 以此新模型为前提，给出了此复杂问题的解析解，表达式不仅简单而且是精确的． 还给出了应力强度因子ＫⅠ、ＫⅡ的一般表达式．
