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ASTM C1239-00

Historical Revision

Standard Practice for Reporting Uniaxial Strength Data and Estimating Weibull Distribution Parameters for Advanced Ceramics

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1.1 This practice covers the evaluation and subsequent reporting of uniaxial strength data and the estimation of probability distribution parameters for advanced ceramics that 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 failed 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 practice is restricted to the assumption that the distribution underlying the failure strengths is the two-parameter Weibull distribution with size scaling. Furthermore, this practice is restricted to test specimens (tensile, flexural, pressurized ring, etc.) that are primarily subjected to uniaxial stress states. Section 8 outlines methods to correct 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 (that is, a single failure mode). In samples where failures originate from multiple independent flaw populations (for example, competing failure modes), the methods outlined in Section 8 for bias correction and confidence bounds are not applicable.

1.2 Measurements of the strength at failure are taken for one of two reasons: either for a comparison of the relative quality of two materials, or the prediction of the probability of failure (or, alternatively, the fracture strength) for a structure of interest. This practice will permit estimates of the distribution parameters that are needed for either. In addition, this practice encourages the integration of mechanical property data and fractographic analysis.

1.3 This practice includes the following:

Section
Scope 1
Referenced Documents 2
Terminology 3
Summary of Practice 4
Significance and Use 5
Outlying Observations 6
Maximum Likelihood Parameter Estimators for Competing Flaw Distributions7
Unbiasing Factors and Confidence Bounds 8
Fractography 9
Examples 10
Keywords 11
Computer Algorithm MAXL X1
Test Specimens with Unidentified Fracture OriginsX2

1.4 The values stated in SI units are to be regarded as the standard.


SDO ASTM: ASTM International
Document Number C1239
Publication Date Oct. 10, 2000
Language en - English
Page Count 17
Revision Level 00
Supercedes
Committee C28.01
Publish Date Document Id Type View
Sept. 15, 2024 C1239-13R24E01 Revision
Aug. 1, 2013 C1239-13 Revision
Feb. 1, 2007 C1239-07 Revision
June 1, 2006 C1239-06A Revision
Jan. 1, 2006 C1239-06 Revision
Oct. 10, 2000 C1239-00 Revision
July 1, 2018 C1239-13R18 Reaffirmation
June 1, 2005 C1239-00R05 Reaffirmation