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On weakest link theory and Weibull statistics
Author(s) -
Zok Frank W.
Publication year - 2017
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/jace.14665
Subject(s) - weibull distribution , link (geometry) , weibull modulus , statistical physics , probability and statistics , brittleness , statistics , mathematics , computer science , physics , combinatorics , thermodynamics
This communication addresses some common misconceptions about weakest link theory and Weibull statistics as they pertain to strength distributions of brittle fibers. After describing the nature of the problem, the flaws in ensuing proposed models of strength distributions are highlighted and discussed. A way forward that obviates the problems is suggested.