COMPARISON OF WEIBULL AND NORMAL PROBABILITY DISTRIBUTION OF FLEXURAL STRENGTH OF DENSE AND POROUS FIRED CLAY
DOI:
https://doi.org/10.11113/jt.v78.6456Keywords:
Weibull distribution, normal distribution, fired clay, flexural strengthAbstract
In this research, dense and porous fired clay were produced at a firing temperature of 1300°C. The flexural strength data of the dense and the porous fired clay were determined using three point bending test. Two-parameter Weibull and normal probability distributions were used to estimate the reliability of the flexural strength data of the dense and the porous fired clay. From the result, the Weibull probability distribution scale parameter for the dense (36.31MPa) and Porous (18.85MPa) fired clay are higher than the mean strength value for the dense (33.84MPa) and the porous (17.87MPa) of the normal distribution. Distributions of flaws in the dense and the porous fired clay have a significant effect on the Weibull and normal distribution parameters. The fractured surface of the dense fired clay shows a random distribution of cracks while that of the porous fired clay shows a distribution of pores in the morphology. The normal distribution considers failure at 50% of the flexural strength data while Weibull probability distribution is failure at 62.3% of the strength data. Therefore, two-parameter Weibull is the suitable tool to model failure strength data of the dense and porous fired clay. Â
References
Basu, B., Tiwari, D., Kundu, D. And Prasad, R. 2009. Is Weibull Distribution The Most Appropriate Statistical Strength Distribution For Brittle Materials? Ceramics International. 35(1): 237-246,.
Bermejo, R., Supancic, P., And Danzer, R. 2012. Influence Of Measurement Uncertainties On The Determination Of The Weibull Distribution. Journal Of The European Ceramic Society. 32(2): 251-255.
Lu, C., Danzer, R., And Fischer, F. D. 2002. Influence Of Threshold Stress On The Estimation Of Weibull Statistics. Journal Of American Ceramic Society. 85(6): 1640-1642.
Todinov, M. T. 2009. Is Weibull Distribution The Correct Model For Predicting Probability Of Failure Initiated By Non-Interacting Flaws? International Journal Of Solids And Structures. 46(3-4): 887-901.
Papargyris, A. D. 1998. Estimator Type And Population Size For Estimating The Weibull Modulus In Ceramics. Journal Of The European Ceramic Society. 18(5): 451-455.
Quinn, J. B. And Quinn, G. D. 2010. A Practical And Systematic Review Of Weibull Statistics For Reporting Strengths Of Dental Materials. Dental Materials : Official Publication Of The Academy Of Dental Materials. 26(2): 135-47.
Abubakar, M., Aliyu, A. B., And Ahmad, N.2015. Flexural Strength Analysis Of Dense And Porous Fired Clay Using Weibull Probability Distribution. 761: 347-351.
Abubakar, M., Tamin, M. N., Saleh, M. A., Uday, M. B., & Ahmad, N. 2016. Preparation And Characterization Of A Nigerian Mesoporous Clay-Based Membrane For Uranium Removal From Underground Water. Ceramics International. 42: 8212-8220.
Abubakar, M., Aliyu, A. B., And Ahmad, N. 2014. Characterization Of Nigerian Clay As Porous Ceramic Materia. 845: 256-260.
Roos, M. And Stawarczyk, B. 2012. Evaluation Of Bond Strength Of Resin Cements Using Different General-Purpose Statistical Software Packages For Two-Parameter Weibull Statistics. Dental Materials : Official Publication Of The Academy Of Dental Materials. 28(7): 76-88.
Stawarczyk, B., Ozcan, M., Trottmann, A., Hämmerle, C. H. F., And Roos, M. 2012. Evaluation Of Flexural Strength Of Hipped And Prefired Zirconia Using Different Estimation Methods Of Weibull Statistics. Journal Of The Mechanical Behavior Of Biomedical Materials. 10: 227-34.
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