A practical and systematic review of Weibull statistics for reporting strengths of dental materials

Abstract Objectives To review the history, theory and current applications of Weibull analyses sufficient to make informed decisions regarding practical use of the analysis in dental material strength testing. Data References are made to examples in the engineering and dental literature, but this pa...

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Bibliographic Details
Published in:Dental materials 2010-02, Vol.26 (2), p.135-147
Main Authors: Quinn, Janet B, Quinn, George D
Format: Article
Language:English
Subjects:
Advanced Basic Science
Alumina
Characteristic strength
Dental Materials
Dental Stress Analysis - methods
Dentistry
Equipment Failure Analysis - methods
Equivalent area
Equivalent volume
Extreme value distribution
Flaw population
Linear regression
Materials Testing - methods
Maximum likelihood
Models, Statistical
Porcelain
Proportional Hazards Models
Regression Analysis
Review
Strength comparison
Strength distribution
Strength scaling
Survival Analysis
Weibull
Weibull modulus
Weibull standards
Zirconia
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Summary:Abstract Objectives To review the history, theory and current applications of Weibull analyses sufficient to make informed decisions regarding practical use of the analysis in dental material strength testing. Data References are made to examples in the engineering and dental literature, but this paper also includes illustrative analyses of Weibull plots, fractographic interpretations, and Weibull distribution parameters obtained for a dense alumina, two feldspathic porcelains, and a zirconia. Sources Informational sources include Weibull's original articles, later articles specific to applications and theoretical foundations of Weibull analysis, texts on statistics and fracture mechanics and the international standards literature. Study selection The chosen Weibull analyses are used to illustrate technique, the importance of flaw size distributions, physical meaning of Weibull parameters and concepts of “equivalent volumes” to compare measured strengths obtained from different test configurations. Conclusions Weibull analysis has a strong theoretical basis and can be of particular value in dental applications, primarily because of test specimen size limitations and the use of different test configurations. Also endemic to dental materials, however, is increased difficulty in satisfying application requirements, such as confirming fracture origin type and diligence in obtaining quality strength data.
ISSN:0109-5641
1879-0097
DOI:10.1016/j.dental.2009.09.006