The Role of Microstructure on the Fracture Behaviour and Statistics of Advanced Ceramics

Abstract:

Strength data of three advanced ceramics were fitted to the Weibull, normal and lognormal distributions. The three ceramics had similar grain size and varied in binder content. The role of microstructure in the failure mechanism of such ceramics was analysed in terms of the chosen strength distributions. The best-fit distributions were determined using the maximum log-likelihood criteria and a comparison between the best and worst fit was conducted using the Akaike Information Criteria (AIC). Both large and small samples were tested to investigate possible scaling effects for these ceramics. It was found that for two of the three ceramics tested that a lognormal distribution rather then the conventionally used Weibull distribution was preferable in characterising the strength data. A small drop in strength was noticed between large and small samples but this trend was not thought to be a result of scaling rather due to the decrease in binder content.

• Periodical: Key Engineering Materials (Volumes 577-578)
• Pages: 57-60
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.577-578.57
• Online since: September 2013
• Authors: Declan McNamara, Patricia Alveen, Declan Carolan, Neal Murphy, Alojz Ivanković
• Keywords: Advanced Ceramics, Fracture, Strength Statistics

References

[1] W. Weibull, Journal of applied mechanics 18.3 (1951), pp.293-297.

[2] L. Chunsheng, R.Danzer, and F.D. Fischer, Physical Review 65.6 (2002), 067102.

[3] B. Bikramjit, et al., Ceramics International 35.1 (2009), pp.237-246.

[4] D.R. Cox, D. Oakes. Analysis of survival data. Vol. 21. Chapman & Hall/CRC 1(984).

[5] H. Akaike, in Applications of Statistics, edited by P.R. Krishnaiah (1977).

[6] R. Danzer, et al. Engineering Fracture Mechanics 74.18 (2007), pp.2919-2932.

[7] L. Chunsheng, R. Danzer, and F.D. Fischer, Journal of the European Ceramic Society 24.14 (2004): pp.3643-3651.