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Volumn 32, Issue 6, 2012, Pages 1221-1227

Bend strength of alumina ceramics: A comparison of Weibull statistics with other statistics based on very large experimental data set

Author keywords

Bend strength; Maximum likelihood method; Q Q plot; Weibull statistics

Indexed keywords

ALUMINA CERAMIC; BEND STRENGTH; BEST MATCH; EXPERIMENTAL DATA; EXPERIMENTAL VALUES; MAXIMUM LIKELIHOOD METHODS; OTHER STATISTICS; Q-Q PLOT; SERIAL PRODUCTION; STATISTICAL EVALUATION; WEIBULL STATISTICS;

EID: 84856586023     PISSN: 09552219     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeurceramsoc.2011.12.010     Document Type: Article
Times cited : (56)

References (36)
  • 1
    • 84987266075 scopus 로고
    • A statistical distribution function of wide applicability
    • Weibull W. A statistical distribution function of wide applicability. J Appl Mech 1951, 18:293-297.
    • (1951) J Appl Mech , vol.18 , pp. 293-297
    • Weibull, W.1
  • 2
    • 84856580480 scopus 로고
    • ReliaSoft's Weibull ++, Life Data Analysis Reference. ReliaSoft Publishing
    • ReliaSoft's Weibull ++, Life Data Analysis Reference. ReliaSoft Publishing, 1992.
    • (1992)
  • 3
    • 0032028621 scopus 로고    scopus 로고
    • Analysis of strength data using two- and three-parameter Weibull models
    • Curtis R.V., Juszczyk A.S. Analysis of strength data using two- and three-parameter Weibull models. J Mater Sci 1998, 33:1151-1157.
    • (1998) J Mater Sci , vol.33 , pp. 1151-1157
    • Curtis, R.V.1    Juszczyk, A.S.2
  • 4
    • 0031122156 scopus 로고    scopus 로고
    • The validity of Weibull estimators - experimental verification
    • Orlovskaja N., Peterlik H., Marczewski M., Kromp K. The validity of Weibull estimators - experimental verification. J Mater Sci 1997, 32:1903-1907.
    • (1997) J Mater Sci , vol.32 , pp. 1903-1907
    • Orlovskaja, N.1    Peterlik, H.2    Marczewski, M.3    Kromp, K.4
  • 5
    • 0034140926 scopus 로고    scopus 로고
    • Prediction of strength of recrystallized siliconcarbide from pore size measurement - part I - the bimodality of the distribution
    • Peterlik H., Orlovskaja N., Steinkellner W., Kromp K. Prediction of strength of recrystallized siliconcarbide from pore size measurement - part I - the bimodality of the distribution. J Mater Sci 2000, 35:699-707.
    • (2000) J Mater Sci , vol.35 , pp. 699-707
    • Peterlik, H.1    Orlovskaja, N.2    Steinkellner, W.3    Kromp, K.4
  • 6
    • 0043195275 scopus 로고    scopus 로고
    • Failure probability prediction of concrete components
    • Li Q.S., Fang J.Q., Liu D.K., Tang J. Failure probability prediction of concrete components. Cem Concr Res 2003, 33:1631-1636.
    • (2003) Cem Concr Res , vol.33 , pp. 1631-1636
    • Li, Q.S.1    Fang, J.Q.2    Liu, D.K.3    Tang, J.4
  • 7
    • 33748557834 scopus 로고    scopus 로고
    • Methods for estimating Weibull parameters for brittle materials
    • Wu D., Zhou J., Li Y. Methods for estimating Weibull parameters for brittle materials. J Mater Sci 2006, 41:5630-5638.
    • (2006) J Mater Sci , vol.41 , pp. 5630-5638
    • Wu, D.1    Zhou, J.2    Li, Y.3
  • 8
    • 31744434993 scopus 로고    scopus 로고
    • Unbiased estimation of Weibull parameters with the linear regression method
    • Wu D., Zhou J., Li Y. Unbiased estimation of Weibull parameters with the linear regression method. J Eur Ceram Soc 2006, 26:1099-1105.
    • (2006) J Eur Ceram Soc , vol.26 , pp. 1099-1105
    • Wu, D.1    Zhou, J.2    Li, Y.3
  • 9
    • 0029290168 scopus 로고
    • The validity of Weibull estimators
    • Peterlik H. The validity of Weibull estimators. J Mater Sci 1995, 30:1972-1976.
    • (1995) J Mater Sci , vol.30 , pp. 1972-1976
    • Peterlik, H.1
  • 10
    • 0035386843 scopus 로고    scopus 로고
    • Monte Carlo simulations of strength distributions of brittle materials - type of distribution, specimen and sample size
    • Danzer R., Lube T., Supancic P. Monte Carlo simulations of strength distributions of brittle materials - type of distribution, specimen and sample size. Z Metallkunde 2001, 92:773-783.
    • (2001) Z Metallkunde , vol.92 , pp. 773-783
    • Danzer, R.1    Lube, T.2    Supancic, P.3
  • 11
    • 0001386158 scopus 로고
    • On the estimation of the Weibull modulus
    • Bergman B. On the estimation of the Weibull modulus. J Mater Sci Lett 1984, 3:689-692.
    • (1984) J Mater Sci Lett , vol.3 , pp. 689-692
    • Bergman, B.1
  • 12
    • 0000434401 scopus 로고
    • Statistical properties of Weibull estimators
    • Khalili A., Kromp K. Statistical properties of Weibull estimators. J Mater Sci 1991, 26:6741-6752.
    • (1991) J Mater Sci , vol.26 , pp. 6741-6752
    • Khalili, A.1    Kromp, K.2
  • 13
    • 0033731050 scopus 로고    scopus 로고
    • A new probability index for estimation Weibull modulus for ceramics with the least-square method
    • Gong J. A new probability index for estimation Weibull modulus for ceramics with the least-square method. J Mater Sci Lett 2000, 19:827-829.
    • (2000) J Mater Sci Lett , vol.19 , pp. 827-829
    • Gong, J.1
  • 14
    • 0035328821 scopus 로고    scopus 로고
    • Statistical distribution of the estimator of Weibull modulus
    • Barbero E., Fernandez-Saez J., Navarro C. Statistical distribution of the estimator of Weibull modulus. J Mater Sci Lett 2001, 20:847-849.
    • (2001) J Mater Sci Lett , vol.20 , pp. 847-849
    • Barbero, E.1    Fernandez-Saez, J.2    Navarro, C.3
  • 15
    • 0035358955 scopus 로고    scopus 로고
    • Empirical correction factor for the best estimate of Weibull modulus obtained using linear least squares analysis
    • Davies I.J. Empirical correction factor for the best estimate of Weibull modulus obtained using linear least squares analysis. J Mater Sci Lett 2001, 20:997-999.
    • (2001) J Mater Sci Lett , vol.20 , pp. 997-999
    • Davies, I.J.1
  • 16
    • 0035861801 scopus 로고    scopus 로고
    • Effects of the number of testing specimens and the estimation methods on the Weibull parameters of solid catalysts
    • Wu D.F., Li Y.D., Zhang J.P., Chang L., Wu D.H., Fang Z.P., et al. Effects of the number of testing specimens and the estimation methods on the Weibull parameters of solid catalysts. Chem Eng Sci 2001, 56:7035-7044.
    • (2001) Chem Eng Sci , vol.56 , pp. 7035-7044
    • Wu, D.F.1    Li, Y.D.2    Zhang, J.P.3    Chang, L.4    Wu, D.H.5    Fang, Z.P.6
  • 17
    • 0346961301 scopus 로고    scopus 로고
    • Optimal probability estimators for determining Weibull parameters
    • Song L., Wu D., Li Y. Optimal probability estimators for determining Weibull parameters. J Mater Sci Lett 2003, 22:1651-1653.
    • (2003) J Mater Sci Lett , vol.22 , pp. 1651-1653
    • Song, L.1    Wu, D.2    Li, Y.3
  • 18
    • 0347133481 scopus 로고    scopus 로고
    • Determining the confidence intervals of Weibull parameters estimated using a more precise probability estimators
    • Griggs J.A., Zhang Y. Determining the confidence intervals of Weibull parameters estimated using a more precise probability estimators. J Mater Sci Lett 2003, 22:1771-1773.
    • (2003) J Mater Sci Lett , vol.22 , pp. 1771-1773
    • Griggs, J.A.1    Zhang, Y.2
  • 19
    • 1442336046 scopus 로고    scopus 로고
    • Best estimate of Weibull modulus obtained using linear least squares analysis: an improved empirical correction factor
    • Davies I.J. Best estimate of Weibull modulus obtained using linear least squares analysis: an improved empirical correction factor. J Mater Sci 2004, 39:1441-1444.
    • (2004) J Mater Sci , vol.39 , pp. 1441-1444
    • Davies, I.J.1
  • 20
    • 0002293780 scopus 로고
    • Evaluation of Weibull parameters for static strengths of ceramics by Monte Carlo simulation
    • Tanaka T., Nakayama H., Sakaida A., Imamichi T. Evaluation of Weibull parameters for static strengths of ceramics by Monte Carlo simulation. Mater Sci Res Int 1995, 1:51-58.
    • (1995) Mater Sci Res Int , vol.1 , pp. 51-58
    • Tanaka, T.1    Nakayama, H.2    Sakaida, A.3    Imamichi, T.4
  • 21
    • 0024106370 scopus 로고
    • On the determination of Weibull parameters
    • Faucher B., Tyson W.R. On the determination of Weibull parameters. J Mater Sci Lett 1988, 7:1199-1203.
    • (1988) J Mater Sci Lett , vol.7 , pp. 1199-1203
    • Faucher, B.1    Tyson, W.R.2
  • 22
    • 0000116498 scopus 로고
    • Estimation of Weibull parameters
    • Langlois R. Estimation of Weibull parameters. J Mater Sci Lett 1991, 10:1049-1051.
    • (1991) J Mater Sci Lett , vol.10 , pp. 1049-1051
    • Langlois, R.1
  • 23
    • 0030086191 scopus 로고    scopus 로고
    • Comparison of maximum likelihood unbiasing methods for the estimation of the weibull parameters
    • Cacciari M., Mazzanti G., Montanari G.C. Comparison of maximum likelihood unbiasing methods for the estimation of the weibull parameters. IEEE Trans El Ins 1996, 3:18-27.
    • (1996) IEEE Trans El Ins , vol.3 , pp. 18-27
    • Cacciari, M.1    Mazzanti, G.2    Montanari, G.C.3
  • 24
    • 84856578204 scopus 로고
    • ASTM C 1239-95: Standard practice for Reporting Uniaxial Strength Data and Estimating Weibull Distribution Parameters for Advanced Ceramics, Philadelphia; American Society for Testing and Materials
    • ASTM C 1239-95: Standard practice for Reporting Uniaxial Strength Data and Estimating Weibull Distribution Parameters for Advanced Ceramics, Philadelphia; American Society for Testing and Materials, 1995.
    • (1995)
  • 25
    • 0027539636 scopus 로고
    • Generalization of the method of maximum-likelihood
    • Jacquelin J. Generalization of the method of maximum-likelihood. IEEE Trans El Ins 1993, 28:65-72.
    • (1993) IEEE Trans El Ins , vol.28 , pp. 65-72
    • Jacquelin, J.1
  • 26
    • 0033077904 scopus 로고    scopus 로고
    • Bias correction for the maximum likelihood estimates in the two-parameter Weibull distribution
    • Hirose H. Bias correction for the maximum likelihood estimates in the two-parameter Weibull distribution. IEEE Trans Dielect El Ins 1999, 6:66-68.
    • (1999) IEEE Trans Dielect El Ins , vol.6 , pp. 66-68
    • Hirose, H.1
  • 27
    • 52049101331 scopus 로고    scopus 로고
    • A comparative study for the location and scale parameters of the Weibull distribution with given parameter
    • Kantar Y.M., Senoglu B. A comparative study for the location and scale parameters of the Weibull distribution with given parameter. Comput Geosci 2008, 34:1900-1909.
    • (2008) Comput Geosci , vol.34 , pp. 1900-1909
    • Kantar, Y.M.1    Senoglu, B.2
  • 28
    • 37649031780 scopus 로고    scopus 로고
    • Fracture statistics of brittle materials: Weibull or normal distribution
    • Lu C., Danzer R., Fischer F.D. Fracture statistics of brittle materials: Weibull or normal distribution. Phys Rev E 2002, 65:067102.
    • (2002) Phys Rev E , vol.65 , pp. 067102
    • Lu, C.1    Danzer, R.2    Fischer, F.D.3
  • 29
    • 3843095302 scopus 로고    scopus 로고
    • Scaling of fracture strength in ZnO: effects of pore/grain-size interaction and porosity
    • Lu C., Danzer R., Fischer F.D. Scaling of fracture strength in ZnO: effects of pore/grain-size interaction and porosity. J Eur Ceram Soc 2004, 24:3643-3651.
    • (2004) J Eur Ceram Soc , vol.24 , pp. 3643-3651
    • Lu, C.1    Danzer, R.2    Fischer, F.D.3
  • 30
    • 33747270121 scopus 로고    scopus 로고
    • Some notes on the correlation between fracture and defect statistics: Are Weibull statistics valid for very small specimens?
    • Danzer R. Some notes on the correlation between fracture and defect statistics: Are Weibull statistics valid for very small specimens?. J Eur Ceram Soc 2006, 26:3043-3049.
    • (2006) J Eur Ceram Soc , vol.26 , pp. 3043-3049
    • Danzer, R.1
  • 31
    • 41249096012 scopus 로고    scopus 로고
    • Fracture statistics of ceramic laminates strengthened by compressive residual stresses
    • Pascual J., Lube T., Danzer R. Fracture statistics of ceramic laminates strengthened by compressive residual stresses. J Eur Ceram Soc 2008, 28:1551-1556.
    • (2008) J Eur Ceram Soc , vol.28 , pp. 1551-1556
    • Pascual, J.1    Lube, T.2    Danzer, R.3
  • 33
    • 0014254846 scopus 로고
    • Probability plotting methods for the analysis of data
    • Gnanadesikan R., Wilk M.B. Probability plotting methods for the analysis of data. Biometrika 1968, 55:1-17.
    • (1968) Biometrika , vol.55 , pp. 1-17
    • Gnanadesikan, R.1    Wilk, M.B.2
  • 34
    • 79960847693 scopus 로고    scopus 로고
    • Reliability of a Weibull analysis using the maximum-likelihood method
    • Ambrožič M., Gorjan L. Reliability of a Weibull analysis using the maximum-likelihood method. J Mater Sci 2011, 46:1862-1869.
    • (2011) J Mater Sci , vol.46 , pp. 1862-1869
    • Ambrožič, M.1    Gorjan, L.2
  • 35
    • 84856587936 scopus 로고
    • ASTM C 1161-94: Standard Test Method for Flexural Strength of Advanced Ceramics at Ambient Temperature, Philadelphia; American Society for Testing and Materials
    • ASTM C 1161-94: Standard Test Method for Flexural Strength of Advanced Ceramics at Ambient Temperature, Philadelphia; American Society for Testing and Materials, 1994.
    • (1994)
  • 36
    • 0022956099 scopus 로고
    • Experimental probability estimators for Weibull plots
    • Sullivan J.D., Lauzon P.H. Experimental probability estimators for Weibull plots. J Mater Sci Lett 1986, 5:1245-1247.
    • (1986) J Mater Sci Lett , vol.5 , pp. 1245-1247
    • Sullivan, J.D.1    Lauzon, P.H.2


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