Statistical size scaling of ceramic strength

This work is based on the belief that the uniform spatial distribution of flaws underlying Weibull statistics is not necessarily always true for all ceramics. The weakest‐link statistics for a power‐law spatial distribution of flaws is adopted to synchronize the size dependence and random variation...

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Bibliographic Details
Published in:Journal of the American Ceramic Society 2019-01, Vol.102 (1), p.90-97
Main Author: Lei, Wei‐Sheng
Format: Article
Language:English
Subjects:
Ceramics
Dependence
Fracture strength
size effect
Size effects
Spatial distribution
Statistical analysis
statistical model
strength
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Summary:This work is based on the belief that the uniform spatial distribution of flaws underlying Weibull statistics is not necessarily always true for all ceramics. The weakest‐link statistics for a power‐law spatial distribution of flaws is adopted to synchronize the size dependence and random variation of ceramic strength. Three sets of published strength data of ceramics from different sized specimens are used for this purpose. The assumption of power‐law spatial distribution of flaws in ceramics is validated, with both uniform and nonuniform spatial distributions being showcased possible. For all the three case studies, there exists a master curve to correlate a compound parameter encompassing cumulative failure probability and size effect with the nominal fracture strength.
ISSN:0002-7820
1551-2916
DOI:10.1111/jace.16034