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Relationship between the Estimated Weibull Modulus and the Coefficient of Variation of the Measured Strength for Ceramics
Author(s) -
Gong Jianghong,
Li Ying
Publication year - 1999
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/j.1551-2916.1999.tb20084.x
Subject(s) - weibull modulus , weibull distribution , monte carlo method , materials science , modulus , statistics , coefficient of variation , mathematics , composite material
The variation of the estimated Weibull modulus ( m *), as a function of the coefficient of variation of the measured strength ( c v ), has been analyzed by using Monte Carlo simulations. A good linear relationship exists between m * and 1/ c v for a given sample size. A simple method is proposed for determining the Weibull modulus directly from the calculated c v value of a set of measured fracture stresses for a given material. From a statistical standpoint, the estimated results by using this new method are identical to those obtained with the conventional methods, such as the least‐squares method and the maximum likelihood method.