On the use of the Weibull and the normal cumulative probability models in structural design

On the use of the Weibull and the normal cumulative probability models in structural design
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DOI:
10.1016/j.matdes.2006.09.016
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发表时间:
2007
期刊:
影响因子:
8.4
通讯作者:
M. Elgueta;G. Díaz;S. Zamorano;P. Kittl
M. Elgueta;G. Díaz;S. Zamorano;P. Kittl
中科院分区:
材料科学1区
文献类型:
--
作者:
M. Elgueta;G. Díaz;S. Zamorano;P. Kittl

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本文讨论并比较了威布尔法和正态累积概率法在断裂韧度KIC分析中的应用。结果表明,在正态分布中,KIC可以取负值或零值,导致结构设计的复杂性。在威布尔分布中,这种情况不会发生,并且可以毫无问题地确定其下限KICL。因此,威布尔累积概率以更好的形式表示现实。最后,将两种分布的试验数据进行比较,发现威布尔概率在结构设计方面更经济。
In this paper, the Weibull and the normal cumulative probability are discussed and compared in relation to the analysis of the fracture toughness KIC. It is shown that, in the normal distribution, KICcan take negative or zero values, causing complications in structural design. In the Weibull distribution, this does not happen and its lower limit KICLcan be determined without problems. So, the Weibull cumulative probability represents reality in a better form. Finally, comparing experimental data with both distributions, it is found that the Weibull probability is more economics in terms of structural design.