'Partitioned-problem' approach to microstructural modeling of a glass-ceramic

Journal of the American Ceramic Society

Volumn 82, Issue 7, 1999, Pages 1835-1843

  Fischer Cripps, Anthony C ^a,b  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; CRACKS; CRYSTAL MICROSTRUCTURE; ELASTIC MODULI; FINITE ELEMENT METHOD; GLASS; MATHEMATICAL MODELS; MICA; STRAIN HARDENING; YIELD STRESS;

GLASS CERAMICS; INDENTATION BEHAVIOR; MACROSCOPIC RESPONSE;

CERAMIC MATERIALS;

EID: 0032689467     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.1999.tb02006.x     Document Type: Article

References (38)

1. H. Hertz, "On the Contact of Elastic Solids," J. Reine Angew. Math., 92, 156 (1881). (Translated and reprinted in English in Hertz's Miscellaneous Papers; Ch. 5. Macmillan, London, U.K., 1896.)
2. H. Hertz, "On the Contact of Elastic Solids," J. Reine Angew. Math., 92, 156 (1881). (Translated and reprinted in English in Hertz's Miscellaneous Papers; Ch. 5. Macmillan, London, U.K., 1896.)
3. F. Auerbach, "Absolute Hardness," Ann. Phys. Chem., 43, 61-100 (1891). (Translated by C. Barus, Annual Report of the Board of Regents of the Smithsonian Institution, July 1, 1890-June 30, 1891, reproduced in Miscellaneous Documents of the House of Representatives for the First Session of the Fifty-Second Congress, 43, 207-36 (1891-1892).)
4. F. Auerbach, "Absolute Hardness," Ann. Phys. Chem., 43, 61-100 (1891). (Translated by C. Barus, Annual Report of the Board of Regents of the Smithsonian Institution, July 1, 1890-June 30, 1891, reproduced in Miscellaneous Documents of the House of Representatives for the First Session of the Fifty-Second Congress, 43, 207-36 (1891-1892).)
5. B. R. Lawn, N. P. Padture, H. Cai, and F. Guiberteau, "Making Ceramics 'Ductile'," Science (Washington, D.C.), 263, 1114-16 (1994).
6. F. Guiberteau, N. P. Padture, H. Cai, and B. R. Lawn, "Indentation Fatigue. A Simple Cyclic Hertzian Test for Measuring Damage Accumulation in Polycrystalline Ceramics," Philos. Mag., 68 [5] 1003-16 (1993).
7. N. P. Padture and B. R. Lawn, "Fatigue in Ceramics with Interconnecting Weak Interfaces: A Study Using Cyclic Hertzian Contacts," Acta Metall., 43, 1609-17 (1995).
8. N. P. Padture, "In Situ-Toughened Silicon Carbide," J. Am. Ceram. Soc., 77 [2] 519-23 (1994).
9. N. P. Padture and B. R. Lawn, "Toughness Properties of a Silicon Carbide with an in Situ Induced Heterogeneous Grain Structure," J. Am. Ceram. Soc., 77 [10] 2518-22 (1994).
10. H. H. K. Xu, L. Wei, N. P. Padture, B. R. Lawn, and R. L. Yeckley, "Effect of Microstructural Coarsening on Hertzian Contact Damage in Silicon Nitride," J. Mater. Sci., 30, 869-78 (1995).
11. F. Guiberteau, N. P. Padture, and B. R. Lawn, "Effect of Grain Size on Hertzian Contact Damage in Alumina," J. Am. Ceram. Soc., 77 [7] 1825-31 (1994).
12. D. G. Grossman, "Machinable Glass-Ceramics Based on Tetrasilicic Mica," J. Am. Ceram. Soc., 55 [9] 446-49 (1972).
13. H. Cai, M. A. Stevens Kalceff, and B. R. Lawn, "Deformation and Fracture of Mica-Containing Glass-Ceramics in Hertzian Contacts," J. Mater. Res., 9 [3] 762-70 (1994).
14. H. Cai, M. A. Stevens Kalceff, B. M. Hooks, B. R. Lawn, and K. Chyung, "Cyclic Fatigue of a Mica-Containing Glass-Ceramic at Hertzian Contacts," J. Mater. Res., 9 [10] 2654-61 (1994).
15. A. C. Fischer-Cripps and B. R. Lawn, "Indentation Stress-Strain Curves for Quasi-ductile Ceramics," Acta Metall. Mater., 44 [2] 519-27 (1996).
16. M.T. Huber, "Zur Theorie der Bertührung Fester Elastischer Körper," Ann. Phys. (Leipsig), 14, 153-63 (1904).
17. D. Tabor, The Hardness of Metals. Clarendon Press, Oxford, U.K., 1951.
18. R. Hill, E. H. Lee, and S. J. Tupper, "The Theory of Wedge Indentation of Ductile Materials," Proc. R. Soc. London, A, A188, 273-89 (1947).
19. M. C. Shaw and D. J. DeSalvo, "A New Approach to Plasticity and Its Application to Blunt Two Dimension Indenters," J. Eng. Ind., 92, 469-79 (1970).
20. M. C. Shaw and D. J. DeSalvo, "On the Plastic Flow Beneath a Blunt Axisymmetric Indenter," J. Eng. Ind., 92, 480-94 (1970).
21. K. L. Johnson, "The Correlation of Indentation Experiments," J. Mech. Phys. Solids, 18, 115-26 (1970).
22. A. C. Fischer-Cripps, "Elastic-Plastic Behaviour in Materials Loaded with a Spherical Indenter," J. Mater. Sci., 32, 727-36 (1997).
23. P. Ladeveze, "Inelastic Strains and Damage"; pp. 117-36 in Damage Mechanics of Composite Materials. Edited by R. Talreja. Elsevier Science, Amsterdam, The Netherlands, 1994.
24. M. Kachanov, "Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts"; pp. 304-35 in Micro-mechanical Modelling of Quasi-brittle Behavior, ASME Book No. AMR118. Edited by V. C. Li. American Society of Mechanical Engineers, New York, 1992.
25. S. Nemat-Nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials. North-Holland, Amsterdam, The Netherlands, 1993.
26. H. Horii and S. Nemat-Nasser, "Brittle Failure in Compression: Splitting, Faulting and Brittle-Ductile Transition," Philos. Trans. R. Soc. London, A, A319, 337-74 (1986).
27. D. Krajcinovic, M. Basista, and D. Sumarac, "Basic Principles"; see Ref. 21, pp. 1-51.
28. K. T. Nihei, L. R. Myer, J. M. Kemeny, Z. Liu, and N. G. W. Cook, "Effects of Heterogeneity and Friction on the Deformation and Strength of Rock"; pp. 479-94 in Fracture and Damage in Quasi-brittle Structures: Experiment, Modelling and Computer Analysis. Edited by Z. P. Bazant, Z. Bittnar, M. Jirasek, and J. Mazars. E&F Spon, London, U.K., 1994.
29. B. R. Lawn, N. P. Padture, F. Guiberteau, and H. Cai, "A Model for Microcrack Initiation and Propagation beneath Hertzian Contacts in Polycrystalline Ceramics," Acta Metall. Mater., 42 [5] 1683-93 (1994).
30. C. K. Chyung; private communication, 1994.
31. H. H. Landolt and R. Bornstein, Zahlenwerte und Funktionen aus Naturwissenschaften und Technik, Neue Serie. Edited by K.-H. Hellwege. Springer-Verlag, Berlin, Germany, 1961.
32. "Strand 6.14 Finite-Element System," G+D Computing Pty. Ltd., Sydney, Australia, 1994.
33. G. Care and A. C. Fischer-Cripps, "Elastic-Plastic Indentation Stress Fields Using the Finite-Element Method," J. Mater. Sci., 32, 5653-59 (1997).
34. F. P. Bowden and D. Tabor, Friction: An Introduction to Tribology. Anchor Press, New York, 1973.
35. I. M. Hutchings, Tribology: Friction and Wear of Engineering Materials. CRC Press, London, U.K., 1992.
36. J. C. Jaeger and N. G. W. Cook, Fundamentals of Rock Mechanics. Chapman and Hall, London, U.K., 1971.
37. C. K. Chyung, G. H. Beall, and D. G. Grossman, "Microstructures and Mechanical Properties of Mica Glass-Ceramics"; pp. 1167-94 in Electron Microscopy and Structure of Materials. Edited by G. Thomas, R. M. Fulrath, and R. M. Fisher. University of California Press, Berkeley, CA, 1972.
38. R. W. Davidge and T. J. Green, "The Strength of Two-Phase Ceramic/ Glass Materials," J. Mater. Sci., 3, 629-34 (1968).