@inproceedings{huang2007,
author = {Huang, Hong Zhong and Du, Li and Miao, Qiang and Wang, Zong Lai and Ma, Q.},
title = {Fuzzy Method to Determine Probability Distribution Type of Fatigue Crack Data},
year = {2007},
month = {12},
volume = {353},
pages = {2557--2560},
booktitle = {Progresses in Fracture and Strength of Materials and Structures},
series = {Key Engineering Materials},
publisher = {Trans Tech Publications},
doi = {10.4028/www.scientific.net/KEM.353-358.2557},
keywords = {Fatigue Crack, Life, Probability Distribution Pattern, Fuzzy Least Squares Linear Regression},
abstract = {Since the number of fatigue crack propagation data is related to cost and time and the crack
propagation data are generally finite, adopting median rank or average rank as the probability value of
a test datum will result in significant error. On the basis of analyzing disadvantages of traditional
methods to identify distribution functions, which begin with overall fitting effect, this paper proposed
a method by applying numerical simulation and fuzzy linear regression. It can be used to determine
the distribution function of crack propagation data. Through fuzzy linear regression, the result that
crack propagation size under certain load cycles are in logarithmic normal distribution can be
acquired. In the same way, the number of load cycles is also in logarithmic normal distribution when
the crack propagates to a certain size.}
}