Is Weibull distribution the most appropriate statistical strength distribution for brittle materials?
Is Weibull distribution the most appropriate statistical strength distribution for brittle materials?
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DOI：
10.1016/j.ceramint.2007.10.003
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发表时间：
2009-01-01
影响因子：
5.2
通讯作者：
Prasad, Rajesh
中科院分区：
文献类型：
--
作者：
Basu, Bikramjit;Tiwari, Devesh;Prasad, Rajesh
强度可靠度是制约脆性材料在各种结构应用中广泛应用的关键因素之一，通常采用威布尔强度分布函数来表征。本文采用威布尔分布、正态分布、对数正态分布、伽马分布和广义指数分布等多种概率模型对强度数据进行了详细的统计分析。我们的分析使用强度数据进行了验证，并用一些结构陶瓷材料和一种玻璃材料进行了测量。这项研究的一个重要含义是，与威布尔分布相比，伽马或对数正态分布函数在某些情况下可以更合适地描述实验测量的强度数据。(C)2007年爱思唯尔有限公司和Techna Group S.r.l.版权所有。
Strength reliability, one of the critical factors restricting wider use of brittle materials in various structural applications, is commonly characterized by Weibull strength distribution function. In the present work, the detailed statistical analysis of the strength data is carried out using a larger class of probability models including Weibull, normal, log-normal, gamma and generalized exponential distributions. Our analysis is validated using the strength data, measured with a number of structural ceramic materials and a glass material. An important implication of the present study is that the gamma or log-normal distribution function, in contrast to Weibull distribution, may describe more appropriately, in certain cases, the experimentally measured strength data. (c) 2007 Elsevier Ltd and Techna Group S.r.l. All rights reserved.