Determining indentation toughness by incorporating true hardness into fracture mechanics equations

Journal of the European Ceramic Society

Volumn 19, Issue 8, 1999, Pages 1585-1592

  Gong, Jianghong ^a  

^a INSTITUT JEAN LAMOUR   (France)

Author keywords

Fracture; Indentation; Mechanical behaviour* hardness; Modeling

Indexed keywords

CRACKS; FRACTURE TOUGHNESS; HARDNESS; MATHEMATICAL MODELS;

INDENTATION TOUGHNESS; LAWN-EVANS-MARSHALL MODEL;

FRACTURE MECHANICS;

EID: 0032678633     PISSN: 09552219     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-2219(98)00256-8     Document Type: Article

References (42)

1. Palmqvist, S., A method to determine the toughness of brittle materials, especially hard metals. Jernkontorets Ann., 1957, 141, 303-307 (in Swedish).
2. Ponton C.B., Rawlings R.D. Vickers indentation fracture toughness test: I, review of literature and formulation of standardized indentation toughness equations. Mater. Sci. Technol. 5:1989;865-872.
3. Sakai M., Bradt R.C. Fracture toughness testing of brittle materials. Inter. Mater. Rev. 38:1993;53-78.
4. Evans A.G., Charles E.A. Fracture toughness determination by indentation. J. Am. Ceram. Soc. 59:1976;371-372.
5. Lawn B.R., Evans A.G., Marshall D.B. Elastic/plastic indentation damage in ceramics: the median/radial crack system. J. Am. Ceram. Soc. 63:1980;574-581.
6. Anstis G.R., Chantikul P., Lawn B.R., Marshall D.B. A critical evaluation of indentation techniques for determining fracture toughness: I, direct crack measurements. J. Am. Ceram. Soc. 64:1981;533-538.
7. Tanaka K. Elastic/plastic indentation hardness and indentation fracture toughness: the inclusion core model. J. Mater. Sci. 22:1987;1501-1508.
8. IC of brittle solids by the indentation method with low crack-to-indent ratios. J. Mater. Sci. Lett. 1:1982;13-16.
9. Niihara K. A fracture mechanics analysis of indentation-induced Palmqvist cracks in ceramics. J. Mater. Sci. Lett. 2:1982;221-223.
10. Shetty D.K., Wright I.G., Mincer P.N., Clauer A.H. Indentation fracture of WC-Co cermets. J. Mater. Sci. 20:1985;1873-1882.
11. Laugier M.T. New formula for indentation toughness in ceramics. J. Mater. Sci. Lett. 6:1987;355-356.
12. Blendell, J. E., The origins of internal stresses in polycrystalline alumina and their effects on mechanical properties. Ph.D. thesis, Massachusetts Institute of Technology Press, Cambridge, MA, 1979.
13. Evans, A. G., Fracture toughness: the role of indentation techniques. In Fracture Mechanics Applied to Brittle Materials. ASTM STP 678, ed. S. W. Freiman. American Society for Testing and Materials, Philadelphia PA, 1979, pp. 112-135.
14. Liang K.M., Orange G., Fantozzi G. Evaluation by indentation of fracture toughness of ceramic materials. J. Mater. Sci. 25:1990;207-213.
15. Matsumoto R.L.K. Evaluation of fracture toughness determination methods as applied to ceria-stabilized tetragonal zirconia polycrystal. J. Am. Ceram. Soc. 70:1987;366-368.
16. Ponton C.B., Rawlings R.D. Vickers indentation fracture toughness test: II, application and critical evaluation of standardized indentation toughness equations. Mater. Sci. Technol. 5:1989;961-976.
17. Li Z., Ghosh A, Kobayashi A.S., Bradt R.C. Indentation fracture toughness of sintered silicon carbide in the Palmqvist crack regime. J. Am. Ceram. Soc., 72:1989;904-911.
18. Glandous J.C., Rouxl T., Qiu T. Study of the Y-TZP toughness by an indentation method. Ceram. Inter. 17:1991;129-135.
19. Niihara, K., Morena, R., Hasselman, D.P.H., Further reply to Comment on elastic-plastic indentation damage in ceramics: the median/radial crack system. J. Am. Ceram. Soc., 1982, 65, C-116.
20. Cook R.F., Pascussi M.R., Rhodes W.H. Lateral cracks and microstructural effects in the indentation fracture of yttria. J. Am. Ceram. Soc. 73:1990;1873-1878.
21. Smith S.M., Scattergood R.O. Crack-shape effects for indentation toughness measurements. J. Am. Ceram. Soc. 75:1993;305-315.
22. Ikuma Y., Virkar A.V. Crack-size dependence of fracture toughness in transformation-toughened ceramics. J. Mater. Sci. 19:1984;2233-2238.
23. Liang K.M., Gu K.F., Fantozzi G. Mechanical analysis of indentation cracking in transformation toughening ceramics. J. Chinese Ceram. Soc. 22:1994;29-37.
24. 2 glass in various environments. J. Am. Ceram. Soc. 70:1987;497-502.
25. Berriche R., Holt R.T. Effect of load on the hardness of hot isostatically pressed silicon nitride. J. Am. Ceram. Soc. 76:1993;1602-1604.
26. Li H., Bradt R.C. The effect of indentation-induced cracking on the apparent microhardness. J. Mater. Sci. 31:1996;1065-1070.
27. Quinn J.B., Quinn G.D. Indentation brittle of ceramics: a fresh approach. J. Mater. Sci. 32:1997;4331-4346.
28. Maschio R.D., Nobile L. A simplified approach for ceramic fracture toughness evaluation by indentation. Engrg. Fract. Mech. 51:1995;209-215.
29. 3. Acta Mater. 45:1997;1009-1015.
30. Hill, R., The Mathematical Theory of Plasticity. Oxford University Press, London, 1950.
31. Shetty D.K., Rosenfield A.R., Duckworth W.H. Analysis of indentation crack as a wedge-loaded half-penny crack. J. Am. Ceram. Soc. 68:1985;65-67.
32. Sih, G. C., Handbook of Stress Intensity Factors. Lehigh University Press, Bethlehem, 1973.
33. Newman J.C., Raju I.S. An empirical stress-intensity factor equation for the surface crack. Engrg. Fract. Mech. 15:1981;185-192.
34. Chiang S.S., Marshall D.B., Evans A.G. The response of solids to elastic/plastic indentation: I, stresses and residual stresses. J. Appl. Phys. 53:1982;298-311.
35. Laugier M.T. The elastic/plastic indentation of ceramics. J. Mater. Sci. Lett. 4:1985;1539-1541.
36. Lawn B.R., Wilshaw T.R. Indentation fracture: principles and applications. J. Mater. Sci. 10:1975;1049-1081.
37. Lawn B.R., Fuller E.R. Equilibrium penny-like cracks in indentation fracture. J. Mater. Sci. 10:1975;2016-2024.
38. Marshall D.B., Lawn B.R. Residual stress effects in sharp contact cracking: I, indentation fracture mechanics. J. Mater. Sci. 14:1979;2001-2012.
39. Cook R.F., Lawn B.R., Fairbanks. Microstructure-strength properties in ceramics: I, effect of crack size on toughness. J. Am. Ceram. Soc. 68:1985;604-615.
40. Steinbrech, R. W., R-curve behavior of ceramics. In Fracture Mechanics of Ceramics 9, ed. R. C. Bradt, D. P. H. Hasselman D. Munz M. Sakai M and V. Ya Shevchenko. Plenum, New York, 1992, PP 187-208.
41. Gong J., Wu J., Guan Z. Description of the indentation size effect in hot-pressed silicon nitride based ceramics. J. Mater. Sci. Lett. 17:1998;473-475.
42. Gong J., Wu J., Guan Z. Load dependence of the apparent hardness of silicon nitride in a wider range of loads. Mater. Lett. 35:1998;58-61.