Random Outcome and Stochastic Analysis of Some Fatigue Crack Growth Data
Resource
Chinese Journal of Mechanics 17 (2): 61-68
Journal
Chinese Journal of Mechanics
Journal Volume
17
Journal Issue
2
Pages
61-68
Date Issued
2001
Date
2001
Author(s)
Abstract
Fatigue crack propagation data of a batch of AISI 4340 steel specimens are released in the present paper. The statistical nature of the data is specially emphasized, and a probabilistic fracture mechanics model is introduced to analyze the data. The stochastic differential equation associated with the model is then solved. The solution gives us the crack exceedance probability as well as the probability distribution of the random time to reach a specified crack size. These quantities are useful in the reliability assessment of structures made of the tested material. Comparing the analytical result with the experimental result, it is found that the proposed probabilistic fracture mechanics model can reasonably explain the experimental data. For those data that cannot be fitted well by the proposed model, methods of improvement are proposed in the present paper as well.
Subjects
Fatigue crack growth; Probabilistic fracture mechanics; Random process; Stochastic analysis
Other Subjects
Crack propagation; Differential equations; Fatigue testing; Fracture mechanics; Mathematical models; Probability distributions; Random processes; Reliability theory; Statistical methods; Steel; Probabilistic fracture mechanics; Stochastic analysis; Dynamic mechanical analysis
Type
journal article
File(s)![Thumbnail Image]()
Loading...
Name
3.pdf
Size
657.03 KB
Format
Adobe PDF
Checksum
(MD5):23eb2d9b3a7f1c1f4de0750e52708d47