Weibull parameters and the tensile strength of porous phosphate glass-ceramics

Journal of the American Ceramic Society

Volumn 82, Issue 3, 1999, Pages 641-648

  Pernot, François ^a   Etienne, Pascal ^a   Boschet, Frédéric ^a   Datas, Lucien ^a  

^a UNIVERSITÉ MONTPELLIER 2   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING STRENGTH; DENSITY (SPECIFIC GRAVITY); FRACTURE MECHANICS; GLASS; MECHANICAL VARIABLES MEASUREMENT; PHOSPHATES; POROUS MATERIALS; TENSILE STRENGTH;

FOUR-POINT BENDING TESTS; WEIBULL PARAMETERS;

CERAMIC MATERIALS;

EID: 0032625042     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.1999.tb01812.x     Document Type: Article

References (44)

1. F. Pernot, J. Zarzycki, F. Bonnel, P. Rabischong, and P. Baldet, "New Glass-Ceramic Materials for Prosthetic Applications," J. Mater. Sci., 14 [7] 1694-706 (1979).
2. F. Pernot, P. Baldet, F. Bonnel, J. Zarzycki, and P. Rabischong, "Development of Phosphate Glass-Ceramics for Bone Implants," Ceram. Int., 9 [4] 127-31 (1983).
3. L. J. Gibson and M. F. Ashby, Cellular Solids; pp. 120-68. Pergamon Press, Oxford, U.K., 1988.
4. R. W. Rice, "Microstructure Dependence on Mechanical Behavior of Ceramics"; pp. 199-381 in Treatise on Materials Science and Technology, Vol. 11, Properties and Microstructure. Edited by R. K. MacCrone. Academic Press, New York, 1977.
5. R. W. Rice, "Pores as Fracture Origins in Ceramics," J. Mater. Sci., 19, 895-914 (1984).
6. D. P. H. Hasselman and R. M. Fulrath, "Micromechanical Stress Concentrations in Two-Phase Brittle-Matrix Ceramic Composites," J. Am. Ceram. Soc., 50 [8] 399-404 (1967).
7. B. Lawn, Fracture of Brittle Solids, 2nd ed. Cambridge University Press, Cambridge, U.K., 1993.
8. C. E. Inglis, "Stresses in a Plate Due to the Presence of Cracks and Sharp Corners," Trans. Inst. Nav. Archit., 55, 219-41 (1913).
9. A. A. Griffith, "The Phenomena of Rupture and Flow in Solids," Philos. Trans. R. Soc. London, 221A, 163-98 (1920).
10. R. A. Sack, "Extension of Griffith's Theory of Rupture to Three Dimensions," Proc. Phys. Soc. London, 58, 729-36 (1946).
11. A. G. Evans and R. W. Davidge, "The Strength and Oxidation of Reaction-Sintered Silicon Nitride," J. Mater. Sci., 5, 314-25 (1970).
12. A. G. Evans and G. Tappin, "Effects of Microstructure on the Stress to Propagate Inherent Flaws," Proc. Br. Ceram. Soc., 20 [6] 275-97 (1972).
13. A. G. Evans, D. R. Biswas, and R. M. Fulrath, "Some Effects of Cavities on the Fracture of Ceramics: I, Cylindrical Cavities," J. Am. Ceram. Soc., 62 [1-2] 95-100 (1979).
14. A. G. Evans, D. R. Biswas, and R. M. Fulrath, "Some Effects of Cavities on the Fracture of Ceramics: II, Spherical Cavities," J. Am. Ceram. Soc., 62 [1-2] 101-106 (1979).
15. F. I. Baratta, "Stress Intensity Factor Estimates for a Peripherally Cracked Spherical Void and a Hemispherical Surface Pit," J. Am. Ceram. Soc., 61 [11-12] 490-93 (1978).
16. R. W. Rice, "Relation of Tensile Strength-Porosity Effects in Ceramics to Porosity Dependence of Young's Modulus and Fracture Energy, Porosity Character and Grain Size," Mater. Sci. Eng., A112, 215-24 (1989).
17. W. Weibull, "A Statistical Distribution Function of Wide Applicability," J. Appl. Mech., 18 [3] 293-97 (1951).
18. J. D. Sullivan and P. H. Lauzon, "Experimental Probability Estimators for Weibull Plots," J. Mater. Sci. Lett., 5 [11] 1245-47 (1986).
19. Ö Vardar, I. Finnie, D. R. Biswas, and R. M. Fulrath, "Effect of Spherical Pores on the Strength of a Polycrystalline Ceramic," Int. J. Fract., 13 [2] 215-23 (1977).
20. S. C. Nanjagud, R. Brezny, and D. J. Green, "Strength and Young's Modulus Behavior of a Partially Sintered Porous Alumina," J. Am. Ceram. Soc., 78 [1] 266-68 (1995).
21. R. Brezny and D. J. Green, "Fracture Behavior of Open-Cell Ceramics," J. Am. Ceram. Soc., 72 [7] 1145-52 (1989).
22. E. O. Schulz, "Schaumglas, Teil II: Zur Verfahrenstecknik bei der Herstellung von Schaumglas," Silikattechnik, 5 [8] 343-46 (1954).
23. R. W. Rice, "Porosity Effects on Machining Direction - Strength Anisotropy and Failure Mechanisms," J. Am. Ceram. Soc., 77 [8] 2232-36 (1994).
24. Refractory Materials; Studies and Recommendations of the Fédération Européenne des Fabricants de Produits Réfractaires (PRE), Zurich, Switzerland, 1978, 1985, 1990.
25. R. W. Davidge and G. Tappin, "The Effective Surface Energy of Brittle Materials," J. Mater. Sci., 3, 165-73 (1968).
26. W. F. Brown and J. E. Srawley, "Plane Strain Crack Toughness Testing of High Strength Metallic Materials," ASTM Spec. Tech. Publ., 410, 13 (1967).
27. R. Rogier and F. Pernot, "Glass-Ceramic-Metal Composites for Making Graded Seals in Prosthetic Devices," J. Mater. Sci.: Mater. Med., 2, 153-61 (1991).
28. R. Pabst, "Neuere Methoden der Festigkeitsprüfung keramischer Werkstoffe," Z. Werkstofftech., 6 [1] 17-29 (1975).
29. G. K. Bansal, "Effect of Flaw Shape on Strength of Ceramics," J. Am. Ceram. Soc., 59 [1-2] 87-88 (1976).
30. J. C. Glandus and P. Boch, "Uncertainty on the Mean Strength and Weibull Modulus of an Alumina Batch as a Function of the Number of Samples," J. Mater. Sci. Lett., 3, 74-76 (1984).
31. R. Langlois, "Estimation of Weibull Parameters," J. Mater. Sci. Lett., 10, 1049-51 (1991).
32. B. Bergman, "How to Estimate Weibull Parameters," Br. Ceram. Proc., 39 [December] 175-85 (1987).
33. B. Faucher and W. R. Tyson, "On the Determination of Weibull Parameters," J. Mater. Sci. Lett., 7, 1199-203 (1988).
34. K. C. Kapur and L. R. Lamberson. Reliability in Engineering Design. Wiley, New York, 1977.
35. J. G. Kalbfleisch, Probability and Statistical Inference, Vol. 2, Statistical Inference; pp. 56-58. Springer-Verlag, New York, 1985.
36. K. Trustrum and A. de S. Jayatilaka, "On Estimating the Weibull Modulus for a Brittle Material," J. Mater. Sci., 14, 1080-84 (1979).
37. D. R. Thoman, L. J. Bain, and C. E. Antle, "Maximum Likelihood Estimation, Exact Confidence Intervals for Reliability, and Tolerance Limits in the Weibull Distribution," Technometrics, 12 [2] 363-71 (1970).
38. D. G. S. Davies, "The Statistical Approach to Engineering Design in Ceramics," Br. Ceram. Proc., 429-52 (1973).
39. G. A. F. Seber and C. J. Wild, Nonlinear Regression. Wiley, New York, 1989.
40. S. K. Maïti, M. F. Ashby, and L. J. Gibson, "Fracture Toughness of Brittle Cellular Solids," Scr. Metall., 18, 213-17 (1984).
41. F. Pernot, "Mechanical Properties of Porous Phosphate Glass-Ceramics," Phos. Res. Bull., 1, 381-86 (1991).
42. R. Rogier and F. Pernot, "Phosphate Glass-Ceramic-Titanium Composite Materials," J. Mater. Sci., 26, 5664-70 (1991).
43. B. Bergman, "On the Variability of the Fracture Stress of Brittle Materials," J. Mater. Sci. Lett., 4, 1143-46 (1985).
44. R. L. Fullman, "Measurement of Particle Sizes in Opaque Bodies," Trans. AIME, 197 [3] 447-52 (1953).