Is Weibull distribution the most appropriate statistical strength distribution for brittle materials?

被引:188
作者
Basu, Bikramjit [1 ]
Tiwari, Devesh [2 ]
Kundu, Debasis [3 ]
Prasad, Rajesh [1 ]
机构
[1] Indian Inst Technol, Dept Mat & Met Engn, Kanpur 208016, Uttar Pradesh, India
[2] Indian Inst Technol, Dept Comp Sci & Engn, Kanpur 208016, Uttar Pradesh, India
[3] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
关键词
Two-parameter distributions; Kolmogorov statistics; chi(2)statistics; Shape parameter; Scale parameter; Strength data;
D O I
10.1016/j.ceramint.2007.10.003
中图分类号
TQ174 [陶瓷工业]; TB3 [工程材料学];
学科分类号
081705 [工业催化]; 082905 [生物质能源与材料];
摘要
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.
引用
收藏
页码:237 / 246
页数:10
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