ADAF Paffenbarger Research Center, National Institute of Standards and Technology, Gaithersburg, MD, USA.
Dent Mater. 2010 Feb;26(2):135-47. doi: 10.1016/j.dental.2009.09.006. Epub 2009 Nov 28.
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.
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.
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.
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.
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.
回顾威布尔分析的历史、理论和当前应用，以便在牙科材料强度测试中对分析的实际应用做出明智的决策。
参考文献涉及工程和牙科文献中的示例，但本文还包括威布尔图、断口解释以及致密氧化铝、两种长石质瓷和氧化锆的威布尔分布参数的说明性分析。
选择的威布尔分析用于说明技术、缺陷尺寸分布的重要性、威布尔参数的物理意义以及“等效体积”的概念，以比较从不同测试配置获得的测量强度。
威布尔分析具有坚实的理论基础，在牙科应用中特别有价值，主要是因为测试样本尺寸的限制和不同测试配置的使用。然而，牙科材料也存在增加的困难，例如确认断裂起源类型和勤奋获得高质量的强度数据。
