Weibull parameter estimation and goodness-of-fit for glass strength data

Datsiou, Kyriaki Corinna; Overend, Mauro

doi:10.1016/j.strusafe.2018.02.002

Cited by 67 publications

(30 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…1) and fitted to a 2-parameter Weibull distribution (Eq. 2) with a weighted least square regression method using Hazen's estimator and Faucher and Tyson's weight function (Datsiou and Overend 2018). This follows the findings of Datsiou and Overend (2018) who showed that this approach provides a better fit than other distributions (e.g.…”

Section: Destructive Testing and Strength Analysissupporting

confidence: 76%

Repair of soda–lime–silica glass

2018

Self Cite

View full text Add to dashboard Cite

Glass strength is very sensitive to damage accumulation during its service life. Repair methods for glass have been proposed over the last decades to volumetrically fill or remove existing flaws from the surface of glass. However, the lack of information on the strength recovery attributable to glass repair methods restrict their use to low consequence class applications in buildings thereby making replacement of damaged installed glass the only safe and practical solution when dealing with damaged glass. Repair methods involving volumetric filling of visible flaws with resins, removal of visible flaws with polishing and chemical repair with acid treatment of visible flaws are undertaken in this study to investigate the strength recovery in 60 artificially aged annealed glass specimens. It is found that the polishing provides the most promising strength recovery results showing a 132 and a 40% increase in design and mean strength whilst the acid treatment provides the worst performance. Polishing repairs are further investigated in this study to determine their efficacy in strength recovery after environElectronic supplementary material The online version of this article (https://doi.org/10.1007/s40940-018-0064-y) contains supplementary material, which is available to authorized users.

show abstract

Section: Destructive Testing and Strength Analysissupporting

confidence: 76%

Repair of soda–lime–silica glass

2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…The goodness of fit was used to measure the quality of the fit [34]. The independent variable factor data were substituted into Equation 17, the predicted value and goodness of fit of the displacement were calculated, and the time series process lines of the measured and predicted values are shown in Figure 11.…”

Section: Goodness Of Fitmentioning

confidence: 99%

External Deformation Monitoring and Improved Partial Least Squares Data Analysis Methods of High Core Rock-Fill Dam (HCRFD)

Cheng

Zhou

et al. 2020

Sensors

View full text Add to dashboard Cite

External deformation monitoring of high core rock-fill dams (HCRFDs) is an important and difficult part of safety monitoring. The traditional method of external deformation monitoring and data analysis for HCRFDs is to use a total station for small angle observations and establish a regression model to analyze the results. However, the small angle method has low accuracy and a low automation degree, and there is multicollinearity between the independent variables, which affects the parameter estimation and leads to the failure of model establishment. The angle forward intersection method is adopted in this paper for observation, and an improved partial least squares method (IPLS) is proposed to eliminate the multicollinearity of the independent variables. Compared to the traditional method, the improved observation method exhibits high accuracy and a high automation degree. The new data analysis method can not only eliminate multicollinearity but also improve the interpretation ability of the model. The data from the initial stage of water storage shows that the displacement increases with the increase in the upstream water level and time, and the speed of water storage is proportional to the displacement. The water level and time are the main influencing factors. This conclusion provides a theoretical basis for reservoir management departments to control water levels and gate opening and closing. The method in this paper can be applied to arch dams, gravity dams, and other types of waterpower engineering systems.

show abstract

“…In this example, a glass strength data set is adopted to test the proposed method. The data are from literature [3], where only the data of the naturally aged glass is utilized, listed in Table 5.…”

Section: Examplementioning

confidence: 99%

“…Due to its extremely high flexibility, the Weibull distribution [1] is widely used for fitting engineering data, such as the strength of materials [2,3], fracture of brittle materials [4,5], and wind speed [6,7]. The three-parameter Weibull distribution is very flexible for random data fitting so that it has a strong adaptability for different types of probability distribution.…”

Section: Introductionmentioning

confidence: 99%

Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy

Yang

Ren

2019

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The maximum likelihood estimation is a widely used approach to the parameter estimation. However, the conventional algorithm makes the estimation procedure of three-parameter Weibull distribution difficult. Therefore, this paper proposes an evolutionary strategy to explore the good solutions based on the maximum likelihood method. The maximizing process of likelihood function is converted to an optimization problem. The evolutionary algorithm is employed to obtain the optimal parameters for the likelihood function. Examples are presented to demonstrate the proposed method. The results show that the proposed method is suitable for the parameter estimation of the three-parameter Weibull distribution.

show abstract

Weibull parameter estimation and goodness-of-fit for glass strength data

Cited by 67 publications

References 21 publications

Repair of soda–lime–silica glass

Repair of soda–lime–silica glass

External Deformation Monitoring and Improved Partial Least Squares Data Analysis Methods of High Core Rock-Fill Dam (HCRFD)

Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy

Contact Info

Product

Resources

About