Brittle failure prediction of ceramics using a multiscale approach

Journal of the American Ceramic Society

Volumn 79, Issue 11, 1996, Pages 2825-2832

  Berdin, Clotilde ^a   Cailletaud, Georges ^b   Jeulin, Dominique ^b  

^a ECOLE CENTRALE PARIS   (France)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BRITTLE FRACTURE; DEFECTS; FAILURE (MECHANICAL); FRACTURE MECHANICS; FRACTURE TESTING; MATHEMATICAL MODELS; SILICON NITRIDE; TENSILE TESTING; WEIBULL DISTRIBUTION;

BRITTLE FAILURE PREDICTION; FRACTURE MODELS; MULTISCALE APPROACH;

CERAMIC MATERIALS;

EID: 0030289295     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.1996.tb08715.x     Document Type: Article

References (34)

1. W. Weibull, "A Statistical Theory of the Strength of Materials." Ingenioersyentenskapsakad., Handl., 151, 1-45 (1939).
2. S. B. Batdorf, "Fundamentals of the Statistical Theory of Fracture"; pp. 1-30 in Fracture Mechanics of Ceramics, Vol. 3. Edited by R. C. Bradt and D. P. H. Hasselman. Plenum Press, New York, 1978.
3. A. G. Evans, "A General Approach for the Statistical Analysis of Multiaxial Fracture." J. Am. Ceram. Soc., 61 [7-8] 302-308 (1978).
4. J. Lamon and A. G. Evans, "Statistical Analysis of Bending Strength for Brittle Solids: A Multiaxial Fracture Problem." J. Am. Ceram. Soc., 66 [3] 177-82 (1983).
5. A. M. Freudenthal, "Statistical Approach to Brittle Fracture": pp. 591-619 in A Treatise on Fracture, Vol. 2. Edited by H. A. Leibowitz. Academic Press, New York, 1968.
6. A. Jayatilaka and K. Trustrum, "Statistical Approach to Brittle Fracture," J. Mater. Sci., 12, 1426-30 (1977).
7. L. Y. Chao and D. K. Shetty, "Reliability Analysis of Structural Ceramics Subjected to Biaxial Flexure," J. Am. Ceram. Soc., 74 [2] 333-44 (1991).
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. F. A. MacClintock, "Statistics of Brittle Fracture"; pp. 93-114 in Fracture Mechanics of Ceramics, Vol. 1. Edited by R. C. Bradt, D. P. H. Hasselman, and F. F. Lange. Plenum Press, New York, 1973.
10. 3, international Conference on Mechanical Behaviour, Vol. 1. Edited by M. Brown and K. J. Miller. Cambridge University , Press, Cambridge, U.K., 1979.
11. 4 Ceramic Piston Pin for Automotive Engines"; pp. 1334-46 in Proceedings of the 3rd International Symposium on Ceramic Materials and Components for Engines (Las Vegas, NV, 1988). Edited by V. J. Tennery. American Ceramic Society, Westerville, OH, 1989.
12. F. Hild, E. Amar, and D. Marquis, "Stress Heterogeneity Effect on the Strength of Silicon Nitride." J. Am. Ceram. Soc., 75 [3] 700-702 (1992).
13. C. Berdin, "Etude Expérimentale et Numérique de la Rupture des Matériaux Fragiles" (Experimental and Numerical Study of Brittle Materials Fracture); Ph.D. Thesis. Ecole Nationale Supérieure des Mines de Paris, Paris, France, 1993.
14. T. Mura, Micromechanics of Defects in Solids. Martinus Nijhoff, the Hague, The Netherlands, 1987.
15. A. G. Evans, "Structural Reliability: A Processing-Dependent Phenomenon," J. Am. Ceram. Soc., 65 [3] 127-37 (1982).
16. C. Berdin, D. Jeulin, and G. Cailletaud, "Micro-macro Identification of Fracture Model"; pp. 499-510 in International Seminar on Micromechanics of Materials. Eyrolles, Paris, France, 1993.
17. J. Sung and S. P. Nicholson, "Strength Improvement of Yttria-Partially Stabilized Zirconia by Flaw Elimination," J. Am. Ceram. Soc., 71 [9] 788-95 (1988).
18. M. K. Ferber and V. J. Tennery. "Fractographic Study of a Silicon Nitride Ceramic"; pp. 120-26 in Proceedings of Euro-Ceramics, Vol. 3. Elsevier, New York, 1989.
19. 4," J. Am. Ceram. Soc., 59 [3-4] 163-67 (1976).
20. B. Yatchmenoff and R. D. Compton, "Ceramic Surface Analysis Using Optical Sections," Am. Ceram. Soc. Bull., 69 [8] 1307-10 (1990).
21. H. Cramer, Mathematical Methods of Statistics. Princeton University Press, Princeton, NJ. 1945.
22. E. R. Weibel, Stereological Methods; Vol. 2. Academic Press, New York, 1980.
23. D. Jeulin, "Random Fields Model for Fracture Statistics"; pp. 99-113 in Proceedings of the 32nd Colloquium of Metallurgy, No. 4. De la Revue de Métallurgie, Saclay, France, 1990.
24. C. Berdin, D. Jeulin, D. Baptiste, and G. Cailletaud, "Failure Models for Brittle Materials"; pp. 83-92 in International Conference on Fracture Processes in Brittle Materials, Vol. 1 (Noordwijk, Holland), 1991.
25. S. B. Batdorf and G. J. Crose, "A Statistical Theory for the Fracture of Brittle Structures Subjected to Nonuniform Polyaxial Stresses," J. Appl. Mech., 41 [2] 459-64 (1974).
26. B. Paul and L. Mirandy, "An Improved Fracture Criterion for Three-Dimensional Stress States," J. Eng. Mater. Technol., 98 [4] 159-72 (1976).
27. A. C. Rufin, D. R. Samos, and R. J. H. Bollard, "Statistical Failure Prediction Models for Brittle Materials," AIAA J., 22 [1] 135-40 (1984).
28. S. B. Batdorf and H. L. Heinish, "Weakest Link Theory Reformulated for Arbitrary Fracture Criterion," J. Am. Ceram. Soc., 61 [7-8] 355-58 (1978).
29. J. Lamon, "Statistical Approaches to Failure for Ceramic Reliability Assessment," J. Am. Ceram. Soc., 71 [2] 106-12 (1988).
30. P. Pilvin, "Identification des Paramètres de Modèles de Comportement" (Identification of Behavior Models Parameters); pp. 155-64 in Proceedings of Mecamat Conference on Inelastic Behaviour of Solids (Besançon, France). Edited by C. Oytana et al., 1988.
31. H. Burlet and G. Cailletaud, "ZeBuLoN: A F.E. Code for Non-Linear Material Behavior"; pp. 673-80 in International Colloquium of Greco-CNRS New Advances in Computational Structural Mechanics (Giens, France). Edited by P. Ladevèze and O. C. Zienkiewicz, 1991.
32. E. J. Gumbel, Statistical Theory of Extreme Values and Some Practical Applications, National Bureau of Standards Applied Mathematics Series. National Bureau of Standards, Gaithersburg, MD, 1954.
33. L. G. Johnson, The Statistical Treatment of Fatigue Experiments. Elsevier, New York, 1964.
34. C. Berdin, G. Cailletaud, and D. Jeulin, "Estimation of Probabilistic Brittle Fracture Model for Ceramics"; pp. 131-37 in 7th International Conference on Application of Statistics and Probability (Paris, France, 1995). Balkema, Rotterdam, The Netherlands, 1995.