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结合断裂力学的概念和随机过程理论，将疲劳裂纹扩展近似为连续型马尔可夫过程．对于相应的向后Fokker－Plank方程和边界条件，采用本征函数法进行求解，以收敛的无穷级教形式表示出给定临界裂纹尺寸下疲劳扩展寿命的分布函数．对两组实验数据，应用该文的方法进行了具体计算，理论结果和实验吻和良好．
Combined with the concept of fracture mechanics and stochastic process theory, the fatigue crack growth is approximated as a continuous Markov process. For the corresponding backwards Fokker-Plank equation and boundary conditions, the eigenfunctions are used to solve the problem. The convergent infinite-level teaching form expresses the distribution function of the fatigue life under a given critical crack size. The experimental data of two groups were calculated by the method of this paper. The theoretical results and experimental kisses are good.