Is Weibull distribution the most appropriate statistical strength distribution for brittle materials?

Ceramics International

Volumn 35, Issue 1, 2009, Pages 237-246

  Basu, Bikramjit ^a   Tiwari, Devesh ^a   Kundu, Debasis ^a   Prasad, Rajesh ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

2statistics; Kolmogorov statistics; Scale parameter; Shape parameter; Strength data; Two parameter distributions

Indexed keywords

BRITTLENESS; CERAMIC MATERIALS; DISTRIBUTION FUNCTIONS; GLASS; IMAGE SEGMENTATION; NORMAL DISTRIBUTION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STATISTICS;

KOLMOGOROV STATISTICS; SCALE PARAMETER; SHAPE PARAMETER; STRENGTH DATA; TWO-PARAMETER DISTRIBUTIONS;

WEIBULL DISTRIBUTION;

EID: 55949104153     PISSN: 02728842     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ceramint.2007.10.003     Document Type: Article

References (22)

1. Chiang Y.M., Birnie D., and Kingery W.D. Physical Ceramics: Principles for Ceramic Science and Engineering (1997), John Wiley & Sons Inc., New York
2. Davidge R.W. Mechanical Behavior of Ceramics (1979), Cambridge University Press, Cambridge, UK
3. Wachtman J.B. Mechanical Properties of Ceramics (1996), John Wiley & Sons Inc., New York
4. Lawn B. Fracture of Brittle Solids. second ed. (1998), Cambridge University Press, Cambridge, UK
5. Basu B. Toughening of Y-stabilized tetragonal zirconia ceramics. Int. Mater. Rev. 50 4 (2005) 239-256
6. Lange F.F. Powder processing science and technology for increased reliability. J. Am. Ceram. Soc. 72 (1998) 3-15
7. Lu C., Danzer R., and Fishcer D. Fracture statistics of brittle materials: Weibull or normal distribution. Phys. Rev. E 65 (2002) 067102
8. Griffith A. Philos. Trans. R. Soc. A 221 (1920) 163
9. Weibull W. A statistical Distribution Function of wide Applicability. J. Appl. Mech. 18 (1951) 293-305
10. Bazant Z.P. Probability distribution of energetic-statistical size effect in quasibrittle fracture. Prob. Eng. Mech. 19 (2004) 307-391
11. Danzer R., Lube T., and Supancic P. Monte Carlo simulations of strength distributions of brittle materials - type of distribution, specimen and sample size. Z. Metallkd. 92 (2001) 773-783
12. Basu, B., Zirconia-Titanium Boride Composites for Tribiological Applications, Ph.D. thesis, Katholieke Universiteit Leuven, Belgium, 2001.
13. Basu B., Vleugels J., and Van Der Biest O. Toughness tailoring of yttria-doped zirconia ceramics. Mater. Sci. Eng. A 380 (2004) 215-221
14. Basu B., Vleugels J., and Van Der Biest O. Microstructure-Toughness-Wear relationship of tetragonal zirconia ceramics. J. Eur. Ceram. Soc. 24 7 (2004) 2031-2040
15. 2 composites, J. Eur. Ceram. Soc. 25 (2005) 3629-3637.
16. Quinn G.D., and Morrell R. Design data for engineering ceramics - a review of the flexure test. J. Am. Ceram. Soc. 74 (1991) 2037-2066
17. Lu Y., Cheng L., Zhang L., Yan D., and You C. Optimization of sample number for Weibull functions of brittle materials strength. Ceram. Int. 27 (2001) 239-241
18. Cox D.R. Further results on tests of separate families of hypothesis. J. R. Stat. Soc. Ser. B 24 (1962) 406-424
19. Marshal A.W., Meza J.C., and Olkin I. Can data recognize its parent distribution?. J. Comput. Graph. Stat. 10 (2001) 555-580
20. Kundu D., and Manglick A. Discriminating between the Weibull and Log-normal distributions. Naval Res. Log. 51 (2004) 893-905
21. Kundu D., Gupta R.D., and Manglick A. Discriminating Between the Log-Normal and the Generalized Exponential Distributions. J. Stat. Plann. Inference 127 (2005) 213-227
22. Dierickx D., Basu B., Vleugels J., and Van Der Biest O. Statistical extreme value modelling of particle size distributions: experimental grain size distribution type estimation and parameterisation of sintered zirconia. Mater. Character. 45 (2000) 61-70