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Research Article | Open Access

Determination of the Weibull parameters from the mean value and the coefficient of variation of the measured strength for brittle ceramics

Bin DENGa, Danyu JIANGb( )
Department of the Prosthodontics, Chinese PLA General Hospital, Beijing 100853, China
Analysis and Testing Center for Inorganic Materials, State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of Ceramics, Shanghai 200050, China
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Abstract

Accurate estimation of Weibull parameters is an important issue for the characterization of the strength variability of brittle ceramics with Weibull statistics. In this paper, a simple method was established for the determination of the Weibull parameters, Weibull modulus m and scale parameter σ0, based on Monte Carlo simulation. It was shown that an unbiased estimation for Weibull modulus can be yielded directly from the coefficient of variation of the considered strength sample. Furthermore, using the yielded Weibull estimator and the mean value of the strength in the considered sample, the scale parameter σ0 can also be estimated accurately.

Keywords

Weibull distributionWeibull parametersstrength variabilityunbiased estimationcoefficient of variation

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Journal of Advanced Ceramics
Volume 6 Issue 2,
June 2017
Pages 149-156
DOI: 10.1007/s40145-017-0227-3
Cite this article:
DENG B, JIANG D. Determination of the Weibull parameters from the mean value and the coefficient of variation of the measured strength for brittle ceramics. Journal of Advanced Ceramics, 2017, 6(2): 149-156. https://doi.org/10.1007/s40145-017-0227-3

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Received: 11 January 2017
Accepted: 07 April 2017
Published: 16 June 2017
© The author(s) 2017

Open Access The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons. org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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