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BS ISO 20501:2019

BS ISO 20501:2019

$189.07

Fine ceramics (advanced ceramics, advanced technical ceramics). Weibull statistics for strength data

Published By Publication Date Number of Pages
BSI 2019 46
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This document covers the reporting of uniaxial strength data and the estimation of probability distribution parameters for advanced ceramics which fail in a brittle fashion. The failure strength of advanced ceramics is treated as a continuous random variable. Typically, a number of test specimens with well-defined geometry are brought to failure under well-defined isothermal loading conditions. The load at which each specimen fails is recorded. The resulting failure stresses are used to obtain parameter estimates associated with the underlying population distribution.

This document is restricted to the assumption that the distribution underlying the failure strengths is the two-parameter Weibull distribution with size scaling. Furthermore, this document is restricted to test specimens (tensile, flexural, pressurized ring, etc.) that are primarily subjected to uniaxial stress states. Subclauses 6.4 and 6.5 outline methods of correcting for bias errors in the estimated Weibull parameters, and to calculate confidence bounds on those estimates from data sets where all failures originate from a single flaw population (i.e. a single failure mode). In samples where failures originate from multiple independent flaw populations (e.g. competing failure modes), the methods outlined in 6.4 and 6.5 for bias correction and confidence bounds are not applicable.

PDF Catalog

PDF Pages PDF Title
2 National foreword
6 Foreword
7 Introduction
9 1 Scope
2 Normative references
3 Terms and definitions
3.1 Defect populations
11 3.2 Mechanical testing
3.3 Statistical terms
12 3.4 Weibull distributions
13 4 Symbols
14 5 Significance and use
15 6 Method A: maximum likelihood parameter estimators for single flaw populations
6.1 General
6.2 Censored data
16 6.3 Likelihood functions
6.4 Bias correction
18 6.5 Confidence intervals
21 7 Method B: maximum likelihood parameter estimators for competing flaw populations
7.1 General
7.2 Censored data
22 7.3 Likelihood functions
23 8 Procedure
8.1 Outlying observations
8.2 Fractography
8.3 Graphical representation
26 9 Test report
27 Annex A (informative) Converting to material-specific strength distribution parameters
29 Annex B (informative) Illustrative examples
36 Annex C (informative) Test specimens with unidentified fracture origin
39 Annex D (informative) Fortran program
44 Bibliography

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BS ISO 20501:2019
$189.07