Investigation on reliability of nanolayer-grained Ti3SiC2 via Weibull statistics
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Weibull modulus of bending strength of nanolayer-grained ceramic Ti3SiC2 was estimated with over 50 specimens, using the least square method, the moment method and the maximum likelihood technique, respectively. The result demonstrated that the m-value of this layered ceramic ranged from 25 to 29, which is much higher than that of traditional brittle ceramics. The reason of high Weibull modulus was due to high damage tolerance of this material. Under stress, delamination and kinking of grains and shear slipping at interfaces give this material high capacity of local energy dissipation and easy local stress relaxation, leading to the excellent damage tolerance of Ti3SiC2. The effect of amounts of specimens on the reliability of the estimated m-values was also investigated. It was confirmed that the stability of the estimated m-value increased with increasing numbers of specimens. The parameter obtained using the maximum likelihood technique showed the highest reliability than other methods. The ranges of failure probability were determined using the Weibull estimates calculated from the maximum likelihood technique.
KeywordsFailure Probability Strength Data Damage Tolerance Weibull Modulus Weibull Parameter
This work was supported by the National Outstanding Young Scientist Foundation (No. 50125204 for Y. Bao and No.59925208 for Y. Zhou), National Science Foundation of China under Grant No. 50672093, 50302011, 90403027 and “The Hundred-talent plan” of Chinese Academy of Sciences and “863” program.
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