Is a three-parameter Weibull function really necessary for the characterization of the statistical variation of the strength of brittle ceramics?
Is a three-parameter Weibull function really necessary for the characterization of the statistical variation of the strength of brittle ceramics?
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DOI：
10.1016/j.jeurceramsoc.2017.10.017
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发表时间：
2017-10
影响因子：
5.7
通讯作者：
B. Deng;D. Jiang;J. Gong
中科院分区：
文献类型：
--
作者：
B. Deng;D. Jiang;J. Gong
在本研究中进行系统的Monte Carlo模拟，以检查的有效性，两个参数的威布尔函数在表征的强度变化和断裂可靠性的材料，其强度遵循三参数威布尔分布。结果表明，无论强度服从两参数威布尔分布还是三参数威布尔分布，双参数威布尔函数都足以描述常规采用的小强度样本的统计变异。此外，对于强度遵循三参数威布尔分布的材料，可以基于双参数威布尔分析获得对应于给定断裂概率的断裂应力的准确确定。因此，在分析脆性陶瓷断裂强度的统计变异性时，不需要使用三参数威布尔函数。
Systematic Monte Carlo simulations were performed in the present study to examine the effectiveness of two-parameter Weibull function in the characterization of the strength variation and fracture reliability of a material whose strength follows a three-parameter Weibull distribution. It was shown that two-parameter Weibull function is sufficiently suitable for the description of the statistical variation of the conventionally adopted small strength sample, regardless of whether the strength follows a two-parameter or a three-parameter Weibull distribution. Furthermore, for a material whose strength follows a three-parameter Weibull distribution, accurate determinations of the fracture stress corresponding to a given fracture probability may be obtained based on two-parameter Weibull analysis. Therefore, it is concluded that three-parameter Weibull function is not necessary for the analysis of the statistical variation of the fracture strength of brittle ceramics.