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Zero-Shrinkage Whisker Fraction in Ceramic Matrix-Ceramic Whisker Composites

Published online by Cambridge University Press:  21 February 2011

Elizabeth A. Holm  and
M. J. Cima
Elizabeth A. Holm
Affiliation:
Ceramics Processing Research Laboratory, Dept. of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Building 12-002, Cambridge, MA 02139
M. J. Cima
Affiliation:
Ceramics Processing Research Laboratory, Dept. of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Building 12-002, Cambridge, MA 02139
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Abstract

A Monte Carlo computer simulation that percolates soft-core, pseudographic whiskers in a discrete matrix has been developed, and two- and three-dimensional whisker percolation thresholds were determined for various whisker aspect ratios. The percolation thresholds were found to agree with the predictions of the excluded volume theory of percolation; moreover, the thresholds were found to coincide with the zero-shrinkage whisker fraction in ceramic matrix-ceramic particle composites.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 155: Symposium L – Processing Science of Advanced Ceramics , 1989 , 319
Copyright
Copyright © Materials Research Society 1989

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References

REFERENCES

1. AM&P, “Forecast '89: Slow Growth for Ceramics,” Adv. Mater. Proc., 135 (1), 29–44 (1989).Google Scholar
2. Kingery, W.D., Bowen, H.K., and Uhlmann, D.R., Introduction to Ceramics, 2nd ed. (John Wiley and Sons Publishers, New York, 1976), pp. 469–490.Google Scholar
3. DeJonghe, L.C., Rahaman, M.N., and Hsueh, C.H., “Transient Stresses in Bimodal Compacts During Sintering,” Acta metall., 34 (7), 1467–1471 (1986).Google Scholar
4. Lange, F.F., “Processing-Related Fracture Origins,” Parts I, II, and III, J. Am. Ceram. Soc., 66, (6), 396–408 (1983).Google Scholar
5. Weiser, M.W., “The Effect of Inclusion Size on Sintering,” proposal for PhD qualifying examination, University of California at Berkeley, 1986.Google Scholar
6. Ostertag, C.P., “Technique for Measuring Stresses Which Occur During Sintering of a Fiber-Reinforced Ceramic Composite,” J. Am. Ceram. Soc., 70 (12), C355–C357 (1987).Google Scholar
7. Rahaman, M.N. and DeJonghe, L.C., “Effect of Rigid Inclusions on the Sintering of Glass Powder Compacts,” J. Am. Ceram. Soc., 70 (12), C348–C351 (1987).Google Scholar
8. Bordia, R.K. and Raj, R., “Analysis of Sintering of a Composite with a Glass or Ceramic Matrix,” J. Am. Ceram. Soc., 69 (3), C55–C57 (1986).Google Scholar
9. Hsueh, C.H., Evans, A.G., Cannon, R.M., and Brook, R.J., “Viscoelastic Stresses and Sintering Damage in Heterogeneous Powder Compacts,” Acta. metall., 34 (5), 927–936 (1986).Google Scholar
10. Lange, F.F., “Constrained Network Model for Predicting Densification Behavior of Composite Powders,” J. Mater. Res., 2 (1), 59–65 (1987).Google Scholar
11. Zallen, R., The Physics of Amorphous Solids (John Wiley and Sons Publishers, New York, 1983), pp. 135–204.Google Scholar
12. Balberg, I., “Universal' Percolation Threshold Limits in the Continuum,” Phys. Rev. B, 31 (6), 4053–4055 (1985).Google Scholar
13. Carmona, F., Barreau, F., Delhaes, P. and Canet, R., “An Experimental Model for Studying the Effect of Anisotropy on Percolative Conduction,” J. Physique - Lettres, 41 (11), L531–L534 (1980).Google Scholar
14. Carmona, F., Delhaes, P., Barreau, F., Ordiera, D., Canet, R., and Lafeychine, L., “Phénoméne de Percolation clans des Matériaux Composites Modèles,” Rev. de Chim. Min., 18, 498–508 (1981).Google Scholar
15. Pike, G.E. and Seager, C.H., “Percolation and Conductivity: A Computer Study I,” Phys. Rev. B, 10 (4), 1421–1434 (1974).Google Scholar
16. Balberg, I. and Binenbaum, N., “Computer Study of the Percolation Threshold in a Two-Dimensional Anisotropic System of Conducting Sticks,” Phys. Rev. B, 28 (7), 3799–3812 (1983).Google Scholar
17. Robinson, P.C., “Connectivity of Fracture Systems–A Percolation Theory Approach,” J. Phys. A, 16, 605–614 (1983).Google Scholar
18. Boissonade, J., Barreau, F., and Carmona, F., “The Percolation of Fibres with Random Orientation: A Monte Carlo Study,” J. Phys. A, 16, 2777–2787 (1983).Google Scholar
19. Holm, E.A., Cima, M.J., “Two-Dimensional Whisker Percolation in Ceramic Matrix- Ceramic Whisker Composites,” J. Am. Ceram. Soc., 72 (2), 303–305 (1989).Google Scholar
20. Stauffer, D., Introduction to Percolation Theory (Taylor and Francis Publishers, Philadelphia, PA, 1985), pp. 1–121.Google Scholar
21. Hoshen, J. and Kopelman, R., “Percolation and Cluster Distribution. I. Cluster Multiple Labeling Technique and Critical Concentration Algorithm,” Phys. Rev. B, 14 (8), 3438–3445 (1976).Google Scholar
22. Balberg, I. and Binenbaum, N., “Scher and Zallen Criterion: Applicability to Composite Sytems,” Phys. Rev. B, 35 (16), 8749–8752 (1987).Google Scholar
23. Holm, E.A., “A Percolation Model for the Zero-Shrinkage Whisker Fraction in Ceramic Matrix-Ceramic Whisker Composites,” Masters Thesis, Dept. Mat. Sci. Eng., Massachusetts Institute of Technology, 1989.Google Scholar
24. Balberg, I., Anderson, C.H., Alexander, S., and Wagner, N., “Excluded Volume and Its Relation to the Onset of Percolation,” Phys. Rev. B, 30, 3933–3943 (1984).Google Scholar
25. Void, M.J., “Sediment Volume and Structure in Dispersions of Anisometric Particles,” J. Phys. Chem., 63, 1608–1612 (1959).Google Scholar
26. Balberg, I., Binenbaum, N., and Wagner, N., “Percolation Thresholds in the Three Dimensional Sticks System,” Phys. Rev. Lett., 52 (17), 1465–1468 (1984).Google Scholar
27. Ishii, T., “Al2O3-SiC Whisker Composites,” Ceramics Processing Research Laboratory Report #R14, MIT, pp. 127–134 (1988), and personal communications.Google Scholar
28. Tiegs, T.N. and Becher, P.F., “Sintered Al2O3-SiC-Whisker Composites,” Cer. Bull., 66, (2), 339–342 (1987).Google Scholar
29. Meek, T.T., Blake, R.D., and Petrovic, J.J., “Microwave Sintering of Al2O3-SiC Whisker Composites,” Ceram. Eng. Sci. Proc., 8 (7–8), 861–871 (1987).Google Scholar