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Extreme value statistics analysis of fracture strengths of a sintered silicon nitride failing from poresStatistical analysis and correlation between pore-size distribution and fracture strength distribution using the theory of extreme-value statistics is presented for a sintered silicon nitride. The pore-size distribution on a polished surface of this material was characterized, using an automatic optical image analyzer. The distribution measured on the two-dimensional plane surface was transformed to a population (volume) distribution, using the Schwartz-Saltykov diameter method. The population pore-size distribution and the distribution of the pore size at the fracture origin were correllated by extreme-value statistics. Fracture strength distribution was then predicted from the extreme-value pore-size distribution, usin a linear elastic fracture mechanics model of annular crack around pore and the fracture toughness of the ceramic. The predicted strength distribution was in good agreement with strength measurements in bending. In particular, the extreme-value statistics analysis explained the nonlinear trend in the linearized Weibull plot of measured strengths without postulating a lower-bound strength.
Document ID
19920067567
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Chao, Luen-Yuan
(NASA Lewis Research Center Cleveland, OH, United States)
Shetty, Dinesh K.
(Utah, University Salt Lake City, United States)
Date Acquired
August 15, 2013
Publication Date
August 1, 1992
Publication Information
Publication: American Ceramic Society, Journal
Volume: 75
Issue: 8 Au
ISSN: 0002-7820
Subject Category
Nonmetallic Materials
Accession Number
92A50191
Funding Number(s)
CONTRACT_GRANT: NAG3-789
Distribution Limits
Public
Copyright
Other

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