Fracture statistics based on pore/grain-size interaction

Journal of the American Ceramic Society

Volumn 82, Issue 8, 1999, Pages 2279-2281

  Zimmermann, André ^a   Rödel, Jürgen ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; CERAMIC MATERIALS; GRAIN SIZE AND SHAPE; INTERFACES (MATERIALS); MATERIALS TESTING APPARATUS; MATHEMATICAL MODELS; MICROCRACKING; POISSON DISTRIBUTION; PORE SIZE; STATISTICAL METHODS; STRESS CONCENTRATION;

FRACTURE STATISTICS; PORE GRAIN SIZE INTERACTION;

FRACTURE MECHANICS;

EID: 0342656624     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.1999.tb02080.x     Document Type: Article

References (18)

1. A. G. Evans, "Structural Design with Brittle Materials"; pp. 475-501 in Ceramics for High-Performance Applications III: Reliability. Edited by E. M. Lenoe, R. N. Katz, and J. J. Burke. Plenum Publishing, New York, 1983.
2. W. Weibull, "A Statistical Distribution Function of Wide Applicability," J. Appl. Mech., 18, 293-97 (1951).
3. A. G. Evans and S. M. Wiederhorn, "Proof Testing of Ceramic Materials - An Analytical Basis for Failure Prediction," Int. J. Fract., 10, 379-92 (1974).
4. Y. Matsuo, K. Kitakami, and S. Kimura, "A New Theory of Non-destructive Inspection Based on Fracture Mechanics and Fracture Statistics"; pp 317-27 in Fracture Mechanics of Ceramics, Vol. 10, Fracture Fundamentals, High-Temperature Deformation, Damage, and Design. Edited by R. C. Bradt D. P. H. Hasselman, D. Munz, M. Sakai, and V. Ya. Shevchenko. Plenum Press, New York, 1992.
5. N. McN. Alford, J. D. Birchall, and K. Kendall, "High-Strength Ceramics through Colloidal Control to Remove Defects," Nature (London), 330, 51-53 (1987).
6. X.-Z. Hu, "Determination of Pore Distribution in Yttria-Stabilized Zirconia from the Weibull Strength Distribution," Mater. Forum, 16, 313-16 (1992).
7. Y. Matsuo, T. Ogasawara, S. Kimura, and E. Yasuda, "Statistical Analysis of the Effect of Surface Grinding on the Strength of Alumina Using Weibull's Multi-modal Function," J. Mater. Sci. 22, 1482-88 (1987).
8. L.-Y. Chao and D. K. Shetty, "Extreme-Value Statistics Analysis of Fracture Strengths of a Sintered Silicon Nitride Failing from Pores," J. Am. Ceram. Soc., 75 [8] 2116-24 (1992).
9. (a) Y. Zhang, N. Uchida, K. Uematsu, T. Hotta, K. Nakashima, and M. Naito, "A Direct Examination of the Fracture Strength-Defect Size Relationship in Alumina Ceramics," Key Eng. Mater., 159-60, 269-74 (1999).
10. (b) Y. Zhang, M. Inoue, N. Uchida, and K. Uematsu, "Characterization of Processing Pores and Their Relevance to the Strength in Alumina Ceramics," J. Mater. Res., in press.
11. A. Zimmermann, M. Hoffman, B. D. Flinn, R. K. Bordia, T.-J. Chuang, E. R. Fuller Jr., and J. Rödel, "Fracture of Alumina with Controlled Pores," J. Am. Ceram. Soc., 81 [9] 2449-57 (1998).
12. A. Zimmermann and J. Rödel, "Generalized Orowan-Petch Plot for Brittle Fracture," J. Am. Ceram. Soc., 81 [10] 2527-32 (1998).
13. B. D. Flinn, R. K. Bordia, A. Zimmermann, and J. Rödel, "Evolution of Defect Size and Strength of Porous Alumina during Sintering," J. Am. Ceram. Soc., in review.
14. H. E. Exner, "Analyse der Grössenverteilung von Kömern, Poren und Pulverteilchen," Z. Metallkde., 57, 755-63 (1966).
15. A. Zimmermann, W. C. Carter, and E. R. Fuller Jr., "Damage Evolution During Microcrack Formation in Brittle Solids," submitted to Acta Mater.
16. J. Seidel and J. Rödel, "Measurement of Crack Tip Toughness in Alumina as a Function of Grain Size," J. Am. Ceram. Soc., 80 [2] 433-38 (1997).
17. "Standard Test Method for Flexual Strength of Advanced Ceramics at Ambient Temperature," Designation C 1161-90, 1991 Annual Book of ASTM Standards, American Society for Testing and Materials, West Conshocken, PA.
18. J. Seidel, N. Claussen, and J. Rödel, "Reliability of Alumina: I. Effect of Grain Size," J. Eur. Ceram. Soc., 15, 395-404 (1995).