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Title: Flexural fracture strength, fracture locations, and Monte Carlo predictions for a silicon nitride by ten U.S. laboratories

Abstract

The work reported was conducted to provide a basis for a number of structural ceramic mechanical property standardization activities in the US, Germany, Japan, and Sweden. A comparison of key property values of a commercial silicon nitride determined in a number of laboratories was a major objective. The work reported was conducted by 10 US laboratories on GN-10 silicon nitride, and represented the US work within an International Energy Agency program including the US, Germany, Japan, and Sweden. Flexural strengths were measured at 25 and 1250 C in air and were analyzed using the two-parameter Weibull model in terms of m and {sigma}{sub {Theta}} using both linear regression (LR) and maximum likelihood (ML) methods. Under the measurement conditions for the 10 room-temperature strength sets, the value of the ML estimator for m varied by as much as 36%, while the value for the {sigma}{sub {Theta}} parameter estimator varied only 3.3%. The LR estimator for m varied by about 54%. For the high-temperature specimens, the NL estimator for m varied by 48% while the LR estimator varied by 38%. Monte Carlo predictions showed that for room-temperature strength, the maximum likelihood estimator m for all 10 laboratories fit within the 10% andmore » 90% confidence bounds for 30 specimen sets. The dispersion of the high-temperature data was such that the m estimator satisfied the model only at the 1% and 99% confidence levels for the 15 specimen sets. ANOVA results showed that for the room-temperature flexural strength, data from all 10 laboratories were not distinguishable for this evaluator at the 95% confidence level and that scatter within individual data sets was a larger effect than was the variation between the data sets. For the high-temperature data, the results from one laboratory were clearly outside the allowable range at this confidence level.« less

Authors:
; ; ;
Publication Date:
Research Org.:
Oak Ridge National Lab., TN (US)
OSTI Identifier:
20075975
Resource Type:
Journal Article
Journal Name:
Journal of the American Ceramic Society
Additional Journal Information:
Journal Volume: 83; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 0002-7820
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; FRACTURE PROPERTIES; SILICON NITRIDES; DATA COMPILATION; PREDICTION EQUATIONS; MONTE CARLO METHOD; STATISTICAL DATA

Citation Formats

Tennery, V.J., Breder, K., Ferber, M.K., and Jenkins, M.G. Flexural fracture strength, fracture locations, and Monte Carlo predictions for a silicon nitride by ten U.S. laboratories. United States: N. p., 2000. Web. doi:10.1111/j.1151-2916.2000.tb01351.x.
Tennery, V.J., Breder, K., Ferber, M.K., & Jenkins, M.G. Flexural fracture strength, fracture locations, and Monte Carlo predictions for a silicon nitride by ten U.S. laboratories. United States. doi:10.1111/j.1151-2916.2000.tb01351.x.
Tennery, V.J., Breder, K., Ferber, M.K., and Jenkins, M.G. Mon . "Flexural fracture strength, fracture locations, and Monte Carlo predictions for a silicon nitride by ten U.S. laboratories". United States. doi:10.1111/j.1151-2916.2000.tb01351.x.
@article{osti_20075975,
title = {Flexural fracture strength, fracture locations, and Monte Carlo predictions for a silicon nitride by ten U.S. laboratories},
author = {Tennery, V.J. and Breder, K. and Ferber, M.K. and Jenkins, M.G.},
abstractNote = {The work reported was conducted to provide a basis for a number of structural ceramic mechanical property standardization activities in the US, Germany, Japan, and Sweden. A comparison of key property values of a commercial silicon nitride determined in a number of laboratories was a major objective. The work reported was conducted by 10 US laboratories on GN-10 silicon nitride, and represented the US work within an International Energy Agency program including the US, Germany, Japan, and Sweden. Flexural strengths were measured at 25 and 1250 C in air and were analyzed using the two-parameter Weibull model in terms of m and {sigma}{sub {Theta}} using both linear regression (LR) and maximum likelihood (ML) methods. Under the measurement conditions for the 10 room-temperature strength sets, the value of the ML estimator for m varied by as much as 36%, while the value for the {sigma}{sub {Theta}} parameter estimator varied only 3.3%. The LR estimator for m varied by about 54%. For the high-temperature specimens, the NL estimator for m varied by 48% while the LR estimator varied by 38%. Monte Carlo predictions showed that for room-temperature strength, the maximum likelihood estimator m for all 10 laboratories fit within the 10% and 90% confidence bounds for 30 specimen sets. The dispersion of the high-temperature data was such that the m estimator satisfied the model only at the 1% and 99% confidence levels for the 15 specimen sets. ANOVA results showed that for the room-temperature flexural strength, data from all 10 laboratories were not distinguishable for this evaluator at the 95% confidence level and that scatter within individual data sets was a larger effect than was the variation between the data sets. For the high-temperature data, the results from one laboratory were clearly outside the allowable range at this confidence level.},
doi = {10.1111/j.1151-2916.2000.tb01351.x},
journal = {Journal of the American Ceramic Society},
issn = {0002-7820},
number = 5,
volume = 83,
place = {United States},
year = {2000},
month = {5}
}