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Combining Data for Improved Weibull Parameter Estimation
Author(s) -
BATDORF S. B.,
SINES G.
Publication year - 1980
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.1151-2916.1980.tb10694.x
Subject(s) - weibull distribution , fracture (geology) , weibull modulus , relation (database) , experimental data , computer science , statistics , statistical physics , mathematics , data mining , materials science , physics , composite material
Weibull parameters are often used by experimentalists to characterize the fracture behavior of structural materials. Frequently, several types of tests are performed, and theory indicates that the parameters for each type should be the same or have some specific relation to each other. In such cases, it is advantageous to combine the data to find the parameters best representing all the data. The present paper discusses techniques for carrying out this objective and analyzes two examples in detail to illustrate the principles involved. The first example compares uniaxial and equibiaxial fracture statistics and the second discusses fracture statistics for single fibers of several lengths.