… and fracture statistics are discussed. It will be shown that, for many reasons, the fracture
statistics may strictly deviate from the Weibull … This aspect will be discussed with two examples. …

… References are made to examples in the engineering and … of Weibull analysis, texts on
statistics and fracture mechanics and … Both the Weibull and Gumbel functions have demonstrated …

… We argue that the standard Gumbel form is a poor statistic to … sort of statistics which should
replace the Weibull distribution … problems [9] and in the analysis of the fracture statistics of …

… So far this has been done on the basis of the Weibull statistics. The Weibull statistics (… the
flaw size distribution is discussed in some simple examples. Then the situation for very small …

… Thus, the general problem of presentation and evaluation of … structures can be broken down
into three particular problems: … by Weibull for the survivorship function 1{S)N (Weibull 1949). …

… Our findings raise questions about the applicability of Weibull statistics to most practical …
The exponential distribution of defect sizes leads to a Gumbel-type distribution of strengths and, …

… 1], that presents interesting questions in the theory of random systems … are not practically
distinguishable from the Weibull statistics … data and the Gaussian and Gumbel distributions. The …

… fracture and fatigue failure became more crucial problems in design, several other research
engineers followed in Weibull's … the two Gumbel PDFs are mirror images of each other and …

… The first important study of fracture statistics was that of Weibull. His work was based on the
tacit … This raises the question whether the Weibull distribution functions have a fundamental …

… physical basis for the molecular fracture of polymeric fibres. … of fracture mechanics and
probabilistic approaches is performed. Some currently unsolved problems inherent to the Weibull …