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Materials 2017, 10(1), 3; doi:10.3390/ma10010003

Effects of Cracking Test Conditions on Estimation Uncertainty for Weibull Parameters Considering Time-Dependent Censoring Interval

1
School of Mechanical Engineering, Pusan National University, Busan 46241, Korea
2
Department of Industrial Engineering, Pusan National University, Busan 46241, Korea
3
Department of Physics, Myongji University, Yongin 17058, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Jordi Faraudo
Received: 30 November 2016 / Revised: 13 December 2016 / Accepted: 16 December 2016 / Published: 23 December 2016
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Abstract

It is extremely difficult to predict the initiation time of cracking due to a large time spread in most cracking experiments. Thus, probabilistic models, such as the Weibull distribution, are usually employed to model the initiation time of cracking. Therefore, the parameters of the Weibull distribution are estimated from data collected from a cracking test. However, although the development of a reliable cracking model under ideal experimental conditions (e.g., a large number of specimens and narrow censoring intervals) could be achieved in principle, it is not straightforward to quantitatively assess the effects of the ideal experimental conditions on model estimation uncertainty. The present study investigated the effects of key experimental conditions, including the time-dependent effect of the censoring interval length, on the estimation uncertainties of the Weibull parameters through Monte Carlo simulations. The simulation results provided quantified estimation uncertainties of Weibull parameters in various cracking test conditions. Hence, it is expected that the results of this study can offer some insight for experimenters developing a probabilistic crack initiation model by performing experiments. View Full-Text
Keywords: crack initiation test; estimation uncertainty; Weibull distribution; time dependent; interval censored; Monte Carlo simulation crack initiation test; estimation uncertainty; Weibull distribution; time dependent; interval censored; Monte Carlo simulation
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Park, J.P.; Park, C.; Cho, J.; Bahn, C.B. Effects of Cracking Test Conditions on Estimation Uncertainty for Weibull Parameters Considering Time-Dependent Censoring Interval. Materials 2017, 10, 3.

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