Statistical Properties of Indentation Toughness of Ceramics

Abstract

Abstract: The toughnesses of a soda-lime glass and a TiC particulate-reinforced alumina composite were measured by the direct indentation method. It
was found that, for each material, the indentation toughness measured at a given applied indentation load exhibits a large scatter and can
be described well with Weibull distribution function. Comparison between the experimental data obtained with different materials revealed that
the scatter in the measured indentation toughness can be attributed to the effect of microstructural inhomogeneity on the local crack resistance. Based on these findings, it was suggested that, when
determining the fracture toughness with the direct indentation method for a given material, a large number of individual measurements should
be made at a given indentation load to obtain a complete description for the statistical properties of the measured indentation toughness.

Key words: indentation, fracture toughness, Weibull distribution, soda-lime glass, alumina

CLC Number:

TB301

GONG Jiang-Hong,GUAN Zhen-Duo. Statistical Properties of Indentation Toughness of Ceramics[J]. Journal of Inorganic Materials.

References

[1] Palmqvist S. Jernkontorets Ann., 1957, 141: 303--307.
[2] Evans A G, Charles E A. J. Am. Ceram. Soc., 1976, 59: 371--372.
[3] Evans A G. In: Fracture Mechanics Applied to Brittle Materials. ASTM STP 678. American Society for Testing and Materials, 1979. 112--135.
[4] Anstis G R, Chantikul P, Lawn B R, et al. J. Am. Ceram. Soc., 1981, 64: 533--538.
[5] Niihara K, Morena R, Hasselman D P H. J. Mater. Sci. Lett., 1982, 1: 13--16.
[6] Shetty D K, Wright I G, Mincer P N, et al. J. Mater. Sci., 1985, 20: 1873--1882.
[7] Tanaka K. J. Mater. Sci., 1987, 22: 1501--1508.
[8] Laugier M T. J. Mater. Sci. Lett., 1987, 6: 355--356.
[9] Liang K M, Orange G, Fantozzi G. J. Mater. Sci., 1990, 25: 207--213.
[10] Matsumoto R L K. J. Am. Ceram. Soc., 1987, 70: C-366--C-368.
[11] Li Z, Ghosh A, Kobayashi A S, et al. J. Am. Ceram. Soc., 1989, 72: 904--911.
[12] Ponton C B, Rawlings R D. Mater. Sci. Technol., 1989, 5: 865--872.
[13] Glandous J C, Rouxl T, Qiu T. Ceram. Inter., 1991, 17: 129--135.
[14] Rizkalla A S, Jones D W, Miller R P. Brit. Ceram. Trans., 1996, 95: 250--253.
[15] Ray K K, Dutta A K. Brit. Ceram. Trans., 1999, 98: 165--171.
[16] Ritter J E, Mahoney F M, Jakus K. In: Fracture Mechanics of Ceramics 8. Plenum, 1986. 213--223.
[17] Franco A, Roberts S G, Warren P D. Acta Mater., 1997, 45: 1009--1015.
[18] Lawn B R, Fuller E R. J. Mater. Sci., 1975, 10: 2016--2024.
[19] Marshall D B. J. Am. Ceram. Soc., 1983, 66: 127--131.
[20] 赵喆, 龚江宏, 苗赫濯, 等(ZHAO Zhe, et al). 硅酸盐?学报(Journal of the Chinese Ceramic Society), 2000, 28: 371--375.
[21] Marshall D B, Noma T, Evans A G. J. Am. Ceram. Soc., 1982, 65: C-175--C-176.
[22] Weibull W. J. Appl. Mech., 1951, 18: 293--297.
[23] Khalili A, Kromp K. J. Mater. Sci., 1991, 26: 6741--6752.
[24] Cook R F, Pharr G M. J. Am. Ceram. Soc., 1990, 73: 787--817.
[25] Lawn B R, Evans A G, Marshall D B. J. Am. Ceram. Soc., 1980, 63: 574--581.
[26] Steinbrech R W. In: Fracture Mechanics of Ceramics 9. Plenum, 1992. 187--208.
[27] Evans A G. J. Am. Ceram. Soc., 1990, 73: 187--206.
[28] Becher P F. J. Am. Ceram. Soc., 1991, 74: 255--269.
[29] 金宗哲, 马眷荣, 汪林生(JIN Zong-Zhe, et al). 硅酸盐学报(Journal of the Chinese Ceramic Society), 1990, 18: 130--137.
[30] Bergman B. J. Mater. Sci. Lett., 1984, 3: 689--692.
[31] Davies D G S. Proc. Brit. Ceram. Soc., 1973, 22: 429--452.
[32] Quinn G D. J. Am. Ceram. Soc., 1990, 73: 2374--2384.
[33] Tennery V J, Breder K, Ferber M K, et al. J. Am. Ceram. Soc., 2000, 83: 1177--1785.