A stochastic model for fatigue crack propagation with random propagation resistance
A stochastic model for fatigue crack propagation with random propagation resistance
复制标题
具有随机扩展阻力的疲劳裂纹扩展随机模型
DOI：
10.1016/0013-7944(88)90124-5
复制
发表时间：
1988
影响因子：
5.4
通讯作者：
Misawa Tetsuya
中科院分区：
文献类型：
--
作者：
Ihara Chiaki;Misawa Tetsuya
提出了一种考虑随机扩展阻力的疲劳裂纹扩展随机模型。它是基于Paris-Erdogan的疲劳裂纹扩展定律。通过在传播电阻中加入高斯白色噪声，使传播规律随机化。从随机化的Paris-Erdogan定律出发，通过变换该定律中的变量，结合Wong和Zakai定理，得到了伊藤型随机微分方程.利用随机微分方程的解及其概率密度，分别得到了疲劳裂纹扩展的样本过程和寿命分布。这些理论结果与高抗拉强度钢APFH 60的实验数据进行了比较。通过比较，对上述模型进行了改进。
A stochastic model for fatigue crack propagation is proposed in consideration of random propagation resistance. It is based on Paris-Erdogan's propagation law of fatigue crack. By adding Gaussian white noise to the propagation resistance, the propagation law is randomized. A stochastic differential equation of the Itô type is derived from the randomized Paris-Erdogan's law by a change of variable in the law, and Wong and Zakai's theorem. By using the solution of the stochastic differential equation and its probability density, a sample process and life distribution of fatigue crack propagation are obtained, respectively. These theoretical results are compared with the experimental data for high tensile strength steel APFH 60. Through the comparison, an improvement in the above model is made.