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ASTM International - ASTM C1683-08

Standard Practice for Size Scaling of Tensile Strengths Using Weibull Statistics for Advanced Ceramics

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Organization: ASTM International
Publication Date: 1 January 2008
Status: inactive
Page Count: 18
ICS Code (Advanced ceramics): 81.060.30
significance And Use:

Advanced ceramics usually display a linear stress-strain behavior to failure. Lack of ductility combined with flaws that have various sizes and orientations typically leads to large scatter in... View More

scope:

1.1 This standard practice provides methodology to convert fracture strength parameters (primarily the mean strength and the Weibull characteristic strength) estimated from data obtained with one test geometry to strength parameters representing other test geometries. This practice addresses uniaxial strength data as well as some biaxial strength data. It may also be used for more complex geometries proved that the effective areas and effective volumes can be estimated. It is for the evaluation of Weibull probability distribution parameters for advanced ceramics that fail in a brittle fashion. Fig. 1 shows the typical variation of strength with size. The larger the specimen or component, the weaker it is likely to be.

1.2 As noted in Practice C 1239, the failure strength of advanced ceramics is treated as a continuous random variable. A number of functions may be used to characterize the strength distribution of brittle ceramics, but the Weibull distribution is the most appropriate especially since it permits strength scaling for the size of specimens or component. Typically, a number of test specimens with well-defined geometry are broken under well-defined loading conditions. The force at which each test specimen fails is recorded and fracture strength calculated. The strength values are used to obtain Weibull parameter estimates associated with the underlying population distribution.

1.3 This standard is restricted to the assumption that the distribution underlying the failure strengths is the two-parameter Weibull distribution with size scaling. The practice also assumes that the flaw population is stable with time and that no slow crack growth occurs.

1.4 This practice includes the following topics:

Section
Scope1
Referenced Documents2
Terminology3
Summary of Practice4
Significance and Use5
Probability of Failure Relationships6
Test Specimens with Uniaxial Stress States-Effective Volume and Area Relationships7
Uniaxial Tensile Test Specimens7.1
Rectangular Flexure Test Specimens7.2
Round Flexure Test Specimens7.3
C-Ring Test Specimens7.4
Test Specimens with Multiaxial Stress States-Effective Volume and Area Relationships8
Pressure-on-Ring Test Specimens8.1
Ring-on-Ring Test Specimens8.2
Examples of Converting Characteristic Strengths9
Report10
Precision and Bias11
Keywords12
Combined Gamma Function for Round Rods Tested
in Flexure
Annex A1
Components or Test Specimens with Multiaxial
Stress Distributions
Annex A2
Components or Test Specimens with Complex
Geometries and Stress Distributions
Annex A3

1.5 The values stated in SI units are to be regarded as the standard per IEEE/ASTM SI 10.

1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.


FIG. 1 Strength Scales with Size

Document History

July 1, 2019
Standard Practice for Size Scaling of Tensile Strengths Using Weibull Statistics for Advanced Ceramics
5.1 Advanced ceramics usually display a linear stress-strain behavior to failure. Lack of ductility combined with flaws that have various sizes and orientations typically leads to large scatter in...
January 1, 2015
Standard Practice for Size Scaling of Tensile Strengths Using Weibull Statistics for Advanced Ceramics
5.1 Advanced ceramics usually display a linear stress-strain behavior to failure. Lack of ductility combined with flaws that have various sizes and orientations typically leads to large scatter in...
December 1, 2010
Standard Practice for Size Scaling of Tensile Strengths Using Weibull Statistics for Advanced Ceramics
Advanced ceramics usually display a linear stress-strain behavior to failure. Lack of ductility combined with flaws that have various sizes and orientations typically leads to large scatter in...
January 1, 2008
Standard Practice for Size Scaling of Tensile Strengths Using Weibull Statistics for Advanced Ceramics
Advanced ceramics usually display a linear stress-strain behavior to failure. Lack of ductility combined with flaws that have various sizes and orientations typically leads to large scatter in...
ASTM C1683-08
January 1, 2008
Standard Practice for Size Scaling of Tensile Strengths Using Weibull Statistics for Advanced Ceramics
Advanced ceramics usually display a linear stress-strain behavior to failure. Lack of ductility combined with flaws that have various sizes and orientations typically leads to large scatter in...
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