Flexural Strength Analysis of Dense and Porous Sintered Clay Using Weibull Probability Distribution

Abubakar, Muazu; Aliyu, A. B.; Ahmad, Norhayati

doi:10.4028/www.scientific.net/amm.761.347

Cited by 3 publications

(1 citation statement)

References 10 publications

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“…The BSM distribution has been used in a variety apparently independent fields: econometrics [6] [7], actuary sciences [8] [9], hydrology [5], forestry [10], sorption theories [11] [12], fractal kinetics [13]- [20], pharmacokinetics [21], relaxation and reaction phenomena [22] [23]. Two of its approximations, the Weibull and the Hill equations are widely used in materials sciences [24]- [26], medical sciences in particular cancer remission and pharmacokinetic [27]- [29], physico-chemistry in particular complex and enzymatic reactions [30]- [32], meteorology [33] adsorption [34] [35], economy [36] etc. We have quoted here some of the most recent papers using the BSM, the Weibull and Hill distributions.…”

Section: Introductionmentioning

confidence: 99%

The Burr XII Distribution Family and the Maximum Entropy Principle: Power-Law Phenomena Are Not Necessarily “Nonextensive”

Brouers¹

2015

OJS

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In this paper, we recall for physicists how it is possible using the principle of maximization of the Boltzmann-Shannon entropy to derive the Burr-Singh-Maddala (BurrXII) double power law probability distribution function and its approximations (Pareto, loglogistic.) and extension (GB2…) first used in econometrics. This is possible using a deformation of the power function, as this has been done in complex systems for the exponential function. We give to that distribution a deep stochastic interpretation using the theory of Weron et al. Applied to thermodynamics, the entropy nonextensivity can be accounted for by assuming that the asymptotic exponents are scale dependent. Therefore functions which describe phenomena presenting power-law asymptotic behaviour can be obtained without introducing exotic forms of the entropy.

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Section: Introductionmentioning

confidence: 99%

The Burr XII Distribution Family and the Maximum Entropy Principle: Power-Law Phenomena Are Not Necessarily “Nonextensive”

Brouers¹

2015

OJS

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Comparison of Weibull and Normal Probability Distribution of Flexural Strength of Dense and Porous Fired Clay

2016

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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.

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Comparison of Three-Parameter Weibull Statistical Analysis of the Flexural Strength of Dense and Porous Sintered Clay

Abubakar

Ahmad

2015

AMR

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Reliability analysis of dense and porous sintered clay-based ceramic was compared using three-parameter Weibull model. The raw and the sintered clay at temperatures 900-1300°C were characterized using XRF and XRD. The raw clay (dense) and clay mixed with cassava starch (porous) were compacted and sintered at 1300°C. Flexural strength of the dense (24.11-46.56MPa) and the porous (13.58-23.26MPa) sintered clay were determined using three-point bending test. The results were analyzed by three-parameter Weibull probability distribution using Minitab 15 software at 95% confidence interval. Scale and threshold parameters of the dense sintered clay were higher than that of the porous sintered clay. However, the Weibull modulus of the porous ceramic was higher than the dense ceramic. The morphology of the porous sintered clay shows a relative distribution of porosity while the dense ceramic shows a random distribution of cracks. Three- parameter Weibull is a suitable tool to model the reliability of dense and porous sintered clays.

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Flexural Strength Analysis of Dense and Porous Sintered Clay Using Weibull Probability Distribution

Cited by 3 publications

References 10 publications

The Burr XII Distribution Family and the Maximum Entropy Principle: Power-Law Phenomena Are Not Necessarily “Nonextensive”

The Burr XII Distribution Family and the Maximum Entropy Principle: Power-Law Phenomena Are Not Necessarily “Nonextensive”

Comparison of Weibull and Normal Probability Distribution of Flexural Strength of Dense and Porous Fired Clay

Comparison of Three-Parameter Weibull Statistical Analysis of the Flexural Strength of Dense and Porous Sintered Clay

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