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

被引:449
作者
Quinn, Janet B. [1 ]
Quinn, George D. [1 ]
机构
[1] NIST, ADAF, Paffenbarger Res Ctr, Gaithersburg, MD 20899 USA
关键词
Weibull; Review; Weibull standards; Flaw population; Extreme value distribution; Strength distribution; Characteristic strength; Strength comparison; Equivalent volume; Equivalent area; Alumina; Zirconia; Porcelain; Weibull modulus; Strength scaling; Maximum likelihood; Linear regression; BRITTLE MATERIALS; CERAMICS; FRACTURE; ALUMINA; FLEXURE; FRACTOGRAPHY; FAILURE;
D O I
10.1016/j.dental.2009.09.006
中图分类号
R78 [口腔科学];
学科分类号
1003 ;
摘要
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. (C) 2009 Academy of Dental Materials. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:135 / 147
页数:13
相关论文
共 55 条
[1]   Flaw size distribution in high-quality alumina [J].
Abe, H ;
Naito, M ;
Hotta, T ;
Shinohara, N ;
Uematsu, K .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 2003, 86 (06) :1019-1021
[2]  
Anderson T.A., 1995, FRACTURE MECH
[3]  
[Anonymous], 2002, C1161 ASTM INT
[4]  
[Anonymous], 2006, The New Weibull Handbook
[5]  
[Anonymous], 1995, C1239 ASTM INT
[6]  
[Anonymous], 2003, 20501 ISO
[7]  
*ASTM INT, 1996, C1322 ASTM INT
[8]  
Bakas MP, 2004, INT J APPL CERAM TEC, V1, P211
[9]  
Bannerman DB, 1946, WELD J, V25, P223
[10]  
BARATTA FI, 1987, 8735 MTL TR US ARM