Bimodal strength distributions and flaw populations of ceramics and fibres

Engineering Fracture Mechanics

Volumn 68, Issue 3, 2000, Pages 253-261

  Peterlik, H ^a   Loidl, D ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON FIBERS; CERAMIC MATERIALS; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; SILICON CARBIDE; WEIBULL DISTRIBUTION; BRITTLENESS; PROBABILITY;

BIMODAL STRENGTH DISTRIBUTION; FLAW POPULATION;

BRITTLENESS; CERAMIC MATERIALS;

BIMODAL STRENGTH; WEIBULL STATISTICS;

CERAMICS; FIBER; STRENGTH;

EID: 0035241791     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(00)00110-7     Document Type: Article

References (27)

1. Weibull W. A statistical distribution function of wide applicability. J Appl Mech 1951;18:293-7.
2. Danzer R. A general strength distribution function for brittle materials. J Eur Ceram Soc 1992;10:461-72.
3. Sigl L. Effects of the flaw distribution function on the failure probablity of brittle materials. Z Metallkunde 1992;83:518-23.
4. Jung T, Subramanian RV, Manoranjan VS. Prediction of fibre strength at the critical length: a simulation theory and experimental verification for bimodally distributed carbon fibre strengths. J Mater Sci 1993;28:4489-96.
5. Helmer T, Peterlik H, Kromp K. Coating of carbon fibres - the strength of the fibers. J Am Ceram Soc 1995;78:133-6.
6. Peterlik H. The validity of Weibull estimators. J Mater Sci 1995;30:1972-6.
7. Danzer R, Lube T. R-Curve behavior, toughness determination and thermal shock. Fracture Mechanics of Ceramics, vol. 11. New York: Plenum Press; 1996. p. 425-39.
8. Orlovskaja N, Peterlik H, Marczewski M, Kromp K. The validity of Weibull estimators - experimental verification. J Mater Sci 1997;32:1903-7.
9. Lissart N, Lamon J. Statistical analysis of failure of SiC fibres in the presence of bimodal flaw populations. J Mater Sci 1997;32:6107-17.
10. Curtin WA. Determining fiber strength vs. gage length. Polymer Comp 1994;15:474-8.
11. Matthews JR, McClintock FA, Shack WJ. Statistical determination of surface flaw density in brittle materials. J Am Ceram Soc 1976;59:304-8.
12. Evans AG, Jones RL. Evaluation of a fundamental approach for the statistical analysis of fracture. J Am Ceram Soc 1978;61:156-60.
13. Warren PD. Statistical determination of surface flaw distributions in brittle materials. J Eur Ceram Soc 1995;15:385-94.
14. Lamon J. Statistical approaches to failure for ceramic reliability assessment. J Am Ceram Soc 1988;71:106-12.
15. Hoshide T, Masuda M. Dependence of strength on size of flaw dominating fracture in ceramics. Mater Sci Res Int 1995;1:108-13.
16. Kovar D, Readey MJ. Grain size distributions and strength variability of high-purity alumina. J Am Ceram Soc 1996;79:305-12.
17. Chao LY, Shetty DK. Extreme-value statistics of fracture strengths of a sintered silicon nitride failing from pores. J Am Ceram Soc 1992;75:2116-24.
18. Orlovskaja N, Peterlik H, Steinkellner W, Kromp K. Prediction of strength of recrystallised siliconcarbide from pore size measurement, Part I: The bimodality of the distribution. J Mater Sci 2000;35:699-705.
19. Peterlik H, Orlovskaja N, Steinkellner W, Kromp K. Prediction of strength of recrystallised siliconcarbide from pore size measurement, Part II: The reliability of the prediction. J Mater Sci 2000;35:707-11.
20. Zhang Y, Uchida N, Uematsu K, Hotta T, Nakahira K, Naito M. A direct examination of the fracture strength-defect size relationship in alumina ceramics. Key Engng Mater 1999;159-160:269-74.
21. Sonderman D, Jakus K, Ritter Jr. JE, Yuhaski Jr. S, Service TH. Maximum likelihood estimation techniques for concurrent flaw subpopulations. J Mater Sci 1985;20:207-12.
22. Goda K, Fukunaga H. The evaluation of the strength distribution of silicon carbide and alumina fibres by a multi-modal Weibull distribution. J Mater Sci 1986;21:4475-80.
23. Bourgain E, Masson JJ. A new method of modelling strength distributions for ceramic fibers. Comp Sci Tech 1992;43:221-8.
24. Jayatilaka AS, Trustrum K. Statistical approach to brittle fracture. J Mater Sci 1977;12:1426-30.
25. Watson AS, Smith RL. An examination of statistical theories for fibrous materials in the light of experimental data. J Mater Sci 1985;20:3260-70.
26. Ruland W. Carbon fibers. Adv Mater 1990;2:528-36.
27. Peterlik H, Fratzl P, Kromp K. Pore structure of carbon/carbon composites studied by small-angle X-ray scattering. Carbon 1994;32:939-45.