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Volumn 65, Issue 6, 2002, Pages

Fracture statistics of brittle materials: Weibull or normal distribution

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; NORMAL DISTRIBUTION; PROBABILITY DENSITY FUNCTION; SILICON CARBIDE; SILICON NITRIDE; WEIBULL DISTRIBUTION;

EID: 37649031780     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.067102     Document Type: Article
Times cited : (277)

References (24)
  • 1
    • 85036143122 scopus 로고    scopus 로고
    • B. R. Lawn, Fracture of Brittle Solids, 2nd ed. (Cambridge University Press, Cambridge, 1993)
    • B. R. Lawn, Fracture of Brittle Solids, 2nd ed. (Cambridge University Press, Cambridge, 1993).
  • 2
    • 85036294930 scopus 로고    scopus 로고
    • Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990)
    • Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
  • 9
    • 85036256913 scopus 로고    scopus 로고
    • E. J. Gumbel, Statistics of Extremes (Columbia University Press, New York, 1958)
    • E. J. Gumbel, Statistics of Extremes (Columbia University Press, New York, 1958).
  • 10
    • 85036360900 scopus 로고    scopus 로고
    • D. R. Cox and D. Oakes, Analysis of Survival Data (Chapman & Hall, London, 1984)
    • D. R. Cox and D. Oakes, Analysis of Survival Data (Chapman & Hall, London, 1984).
  • 11
    • 85036311733 scopus 로고    scopus 로고
    • H. Akaike, in Applications of Statistics, edited by P. R. Krishnaiah (North-Holland, Amsterdam, 1977), p. 27;, Y. Sakamoto, M. Ishiguro, and G. Kitagawa, Akaike Information Criterion Statistics (Reidel, Dordrecht, 1983)
    • H. Akaike, in Applications of Statistics, edited by P. R. Krishnaiah (North-Holland, Amsterdam, 1977), p. 27;Y. Sakamoto, M. Ishiguro, and G. Kitagawa, Akaike Information Criterion Statistics (Reidel, Dordrecht, 1983).
  • 12
    • 85036307804 scopus 로고    scopus 로고
    • It is worth noting that the AIC values obtained here should be used with some caution since the amount of experimental data is not very large. For detailed discussion, see D. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes (Springer, Berlin, 1988)
    • It is worth noting that the AIC values obtained here should be used with some caution since the amount of experimental data is not very large. For detailed discussion, see D. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes (Springer, Berlin, 1988).
  • 13
    • 85036211083 scopus 로고    scopus 로고
    • typical cases, model differences which would be significant at around the 5% confidence level correspond to differences in AIC values of around (Formula presented)
    • In typical cases, model differences which would be significant at around the 5% confidence level correspond to differences in AIC values of around (Formula presented).
  • 16
    • 85036208679 scopus 로고    scopus 로고
    • R. Danzer and T. Lube, in Ceramic Materials and Components for Engines, edited by K. Niihara (Japan Fine Ceramics Association, Tokyo, 1998), p. 683;, R. Danzer, in Ceramics: Getting into the 2000’s, edited by P. Vicenzini (Techna Srl., Faenza, 1999), p. 379
    • R. Danzer and T. Lube, in Ceramic Materials and Components for Engines, edited by K. Niihara (Japan Fine Ceramics Association, Tokyo, 1998), p. 683;R. Danzer, in Ceramics: Getting into the 2000’s, edited by P. Vicenzini (Techna Srl., Faenza, 1999), p. 379;
  • 18
    • 85036221359 scopus 로고    scopus 로고
    • For ZnO, a measured strength (Formula presented), which is far from the data range (Formula presented) in 110 experiments, is believed to be due to other causes and eliminated in the calculation discussed here
    • For ZnO, a measured strength (Formula presented), which is far from the data range (Formula presented) in 110 experiments, is believed to be due to other causes and eliminated in the calculation discussed here.
  • 19
    • 0345867394 scopus 로고    scopus 로고
    • For a review, see Z. P. Bažant, Arch. Appl. Mech. 69, 703 (1999), and references therein;
    • (1999) Arch. Appl. Mech. , vol.69 , pp. 703
    • Bažant, Z.P.1
  • 21
    • 0027001424 scopus 로고
    • R. Danzer and T. Lube, in Fracture Mechanics of Ceramics, edited by R. C. Bradt et al., (Plenum Press, New York, 1996), Vol. 11, p. 425
    • R. Danzer, J. Eur. Ceram. Soc. 10, 461 (1992);R. Danzer and T. Lube, in Fracture Mechanics of Ceramics, edited by R. C. Bradt et al., (Plenum Press, New York, 1996), Vol. 11, p. 425.
    • (1992) J. Eur. Ceram. Soc. , vol.10 , pp. 461
    • Danzer, R.1
  • 23
    • 85036140809 scopus 로고    scopus 로고
    • L. E. Reichl, A Modern Course in Statistical Physics (University of Texas Press, Texas, 1980)
    • L. E. Reichl, A Modern Course in Statistical Physics (University of Texas Press, Texas, 1980).
  • 24
    • 0036607226 scopus 로고    scopus 로고
    • When experimental data are limited in number and the threshold stress is not too large, numerical simulation has shown that the two-parameter Weibull distribution is still a preferable choice. C. Lu, R. Danzer, and F. D. Fischer J. A. Ceram. Soc. 85, 1640 (2002).
    • (2002) J. A. Ceram. Soc. , vol.85 , pp. 1640
    • Lu, C.1    Danzer, R.2    Fischer, F.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.