Three-parameter Weibull distribution model for tensile strength of GFRP bars based on experimental tests

Tu, Jianwei; Guo, Donglai; Mei, S. T.; Jiang, Haoqing; Li, X. P.

doi:10.1179/1432891714z.0000000001276

Materials Research Innovations

2015

DOI: 10.1179/1432891714z.0000000001276

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Three-parameter Weibull distribution model for tensile strength of GFRP bars based on experimental tests

Jianwei Tu

Donglai Guo

S. T. Mei

et al.

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

Brouers¹

2015

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

Brouers¹

2015

OJS

View full text Add to dashboard Cite

show abstract

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Three-parameter Weibull distribution model for tensile strength of GFRP bars based on experimental tests

Cited by 1 publication

References 3 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”

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