Abstract
A review of the fracture energy and toughness data for dense ceramics at 22 °C shows maxima commonly occurring as a function of grain size. Such maxima are most pronounced for non-cubic materials, where they are often associated with microcracking and R-curve effects, especially in oxides, but often also occur at too fine a grain size for association with microcracking. The maxima are usually much more limited, but frequently definitive, for cubic materials. In a few cases only a decrease with increasing grain size at larger grain size, or no dependence on grain size is found, but the extent to which these reflect lack of sufficient data is uncertain. In porous ceramics fracture toughness and especially fracture energy commonly show less porosity dependence than strength and Young's modulus. In some cases little, or no, decrease, or possibly a temporary increase in fracture energy or toughness are seen with increasing porosity at low or intermediate levels of porosity in contrast to continuous decreases for strength and Young's modulus. It is suggested that such (widely neglected) variations reflect bridging in porous bodies. The above maxima as a function of grain size and reduced decreases with increased porosity are less pronounced for fracture toughness as opposed to fracture energy, since the former reflects effects of the latter and Young's modulus, which usually has no dependence on grain size, but substantial dependence on porosity. In general, tests with cracks closer to the natural flaw size give results more consistent with strength behaviour. Implications of these findings are discussed.
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K. Kendall, N. McN. Alford, S. R. Tan and J. D. Birchall, J. Mater. Res. 1 (1986) 120.
R. W. Rice, Ceram. Eng. Sci. Proc. 11 (1990) 667.
D. Kovar and M. J. Readey, J. Amer. Ceram. Soc. 77 (1994) 1928.
R. W. Rice, to be published.
R. W. Rice, in “The Science of Ceramic Machining and Surface Finishing II”, NBS, Special Publication 562, edited by B. J. Hockey and R. W. Rice (U.S. Government Printing Office, Washington, D.C. 1979) pp. 429–54.
R. W. Rice, to be published.
R. W. Rice, to be published.
R. W. Rice, to be published.
R. W. Rice, in “Treatise on Materials Science and Technology”, Vol. 11, Properties and Microstructure, edited by R. K. MacCrone (Academic Press, New York, 1977) pp. 191–381.
R. W. Rice, to be published.
R. W. Rice, to be published.
R. W. Rice, S. W. Freiman, and P. F. Becher, J. Amer. Ceram. Soc. 64 (1981) 345.
R. W. Rice, “Fracture Mechanics Methods for Ceramics, Rocks, and Concrete” edited by S. W. Freiman and E. R. Fuller Jr ASTM STP 745 (American Society for Testing Materials, Philadelphia, PA, 1982) pp. 96–117.
R. W. Rice and S. W. Freiman, in Ceramic Microstructures '76: With Emphasis on Energy Related Applications, University of California, Berkley, CA, 24–27 August, 1976, edited by R. M. Fulrath and J. A. Pask (Westview Press, Bolder, Colorado, 1977) pp. 800–23.
K. Hayashi, Y. Tatewaki, S. Ozaki and T. Nishikawa, J. Ceram. Soc. Jpn. Int. Ed. 96 (1988) 516.
R. W. Rice, R. C. Pohanka and W. J. McDonough, J. Amer. Ceram. Soc. 63 (1980) 703.
R. W. Rice, in “Ceramic Transactions”, Vol. 17, Fractography of Glasses and Ceramics II, edited by V. D. Frechette and J. R. Varner (American Ceramic Society, Westerville, Ohio, 1991) pp. 509–45.
R. W. Rice, J. Amer. Ceram. Soc. 77 (1994) 2232.
R. W. Rice and S. W. Freiman, ibid. 64 (1981) 350.
N. Claussen, R. Mussler and M. V. Swain, ibid. 65 (1982) C14.
B. Mussler, M. V. Swain and N. Claussen, ibid. 65 (1982) 566.
A. T. Yokobori Jr., T. Adachi and T. Yokobori, in Advances in Electronic Packaging 1992, Vol. 2, Materials and Process Reliability, Quality Control and NDE, edited W. T. Chen and H. Abe, American Society for Mechanical Engineers, New York, 1992) pp. 739–43.
K. Hayashi, K. Gotoh and T. Nishikawa, J. Ceram. Soc. Jpn Int. Ed. 99 (1991) 604.
D. Munz, R. T. Bubsey and J. L. Shannon Jr., J. Amer. Ceram. Soc. 63 (1980) 300.
T. Nishida, Y. Hanaki and G. Pezzotti, ibid. 77 (1994) 606.
Z. D. Yang, Y. Y. Wu and K. Chen, in “Ceramic Materials and Components for Engines”, Proceedings of the 2nd International Symposium, Lübeck-Travemünde, FRG, 14–17 Aprl, 1986, {ededited by} W. Bunk and H. Hausner (Verlag Deutsche Ker. Gesl., 1986) pp. 559–56.
S. Sclosa, D. F. Dailly and G. W. Hastings, Trans. J. Br. Ceram. Soc. 81 (1982) 148.
H. Hüber and W. Jillet, J. Mater. Sci. 12 (1977) 117.
J. D. B. Veldkamp and N. Hattu, Phillips J. Res. 34 (1979) 1.
R. W. Steinbrech and O. Schmenkel, J. Amer. Ceram. Soc. 71 (1988) C271.
G. Vekins, M. F. Ashby and P. W. R. Beaumont, Acta Metals Mater. 38 (1990) 1151.
D. Bleise and R. W. Steinbrech, J. Amer. Ceram. Soc. 77 (1994) 315.
P. Chantikul, S. J. Bennison and B. R. Lawn, ibid. 73 (1990) 2419.
C. CM. Wu, R. W. Rice and P. F. Becher, in “Fracture Mechanics Methods for Ceramics, Rocks, and Concrete”, edited by S. W. Freiman and E. R. Fuller Jr., ASTM STP 745 (American Society for Testing Materials, Philadelphia, PA, 1982) pp. 127–40.
J. J. Cleveland, MSc thesis, Pennsylvania State University (1977).
R. C. Pohanka, S. W. Freiman, K. Okazaki and S. Tashiro, in “Fracture Mechanics of Ceramics”, Vol. 5, edited by R. C. Bradt, A. G. Evans, D. P. H. Hasselman, and F. F. Lange (Plenum Press, New York, 1983) pp. 353–64.
W. P. Minnear and R. C. Bradt, J. Amer. Ceram Soc. 63 (1980) 485.
K. Yasuda, S. Ohsawa, Y. Matsuo and S. Kimura, J. Jpn. Soc. Mater. Sci. 41 (1992) 482.
R. W. Rice and R. C. Pohanka, J. Amer. Ceram. Soc. 62 (1979) 559.
J. B. Kessler, J. E. Ritter Jr. and R. W. Rice, in “Materials Science Research”, Vol. 7, Surfaces and Interfaces of Glass and Ceramics, edited by V. D. Frechette, W. C. LaCourse, and V. L. Burdick (Plenum Press., New York, 1974) pp. 529–44.
K. Yasuda, S.-D. Kim, Y. Kanemichi, Y. Matsuo and S. Kimura, J. Ceram. Soc. Jpn Int. Ed. 98 (1990) 1110.
K. Yasuda, Y. Tsuru, Y. Kanemichi, Y. Matsuo and S. Kimura, ibid. 100 (1992) 790.
Y. Tsuru, K. Yasuda, Y. Matsuo, S. Kimura and E. Yasuda, ibid. 101 (1993) 165.
K. Yasuda, Y. Tsuru, Y. Matsuo, S. Kimura and T. Yano, ibid. 101 (1993) 648.
J. J. Mecholsky Jun., S. W. Freiman and R. W. Rice, J. Mater. Sci. 11 (1976) 1310.
L. D. Monroe and J. R. Smyth, J. Amer. Ceram. Soc. 61 (1978) 538.
W. H. Rhodes, J. G. Baldoni and G. C. Wei, GTE Laboratory Final Report for ONR contract N00014-82-C-0452, July (1986).
T. Tani, Y. Miyamato, M. Koizumi and M. Shimado, Ceram. Int. 12 (1986) 33.
A. Ghosh, K. W. White M. G. Jenkins, A. S. Kobayashi and R. C. Bradt, J. Amer. Ceram. Soc. 74 (1991) 1624.
K. W. White and G. P. Kelkar, ibid. 74 (1991) 1732.
Idem, ibid. 75 (1992) 334.
R. L. Stuart, M. Iwasa and R. C. Bradt, ibid. 64 (1981) C22.
R. W. Rice, in “Fractography of Glasses and Ceramics III”, {ededited by} J. R. Varner and G. Quinn (American Ceramic Society, Westerville, OH) in press.
H. R. Baumgartner and R. A. Steiger, J. Amer. Ceram. Soc. 67 (1984) 207.
M. K. Ferber, P. F. Becher and C. B. Finch, ibid. 74 (1983) C2.
P. F. Becher, C. B. Finch and M. K. Ferber, J. Mater. Sci. Lett. 5 (1986) 195.
E. S. Kang, C. W. Jang, C. H. Lee and C. H. Kim, Densification and Mechanical Properties of Titanium Diboride Ceramics, J. Amer. Ceram. Soc. 72 (1989) 1868.
J. Matsushita, H. Naggashima and H. Saito, J. Ceram. Soc. Jpn Int. Ed. 99 (1991) 77.
R. W. Rice, K. R. Mckinney and C. CM. Wu, Unpublished data.
A. A. Korneev, I. T. Stapenko, M. A. Dolzhek, A. G. Mironova, N. D. Rybalchenko, I. A. Lyashenko and V. P. Podtykan, Poroshkovaya Metall. 349 (1992) 69 (in Russian).
K. Niihara, Amer. Ceram. Soc. Bull. 63 (1984) 1160.
K. Niihara, A. Nakahira and T. Hirai, J. Amer. Ceram. Soc. 74 (1884) C13.
D. Kalish, E. V. Clougherty and J. Ryan, Manlabs, Inc. Final Report for U.S. Army Materials Research Laboratory Contract DA-19-066-AMC-283(x), November (1966).
R. W. Rice, C. Cm. Wu and F. Borchelt, J. Amer. Ceram. Soc. 77 (1994) 2539.
R. W. Rice, ibid. 73 (1990) 3116.
H. Kodama and T. Miyoshi, ibid. 73 (1990) 3081.
S. G. Seshadri, M. Srinivasan and K. Y. Chia, in Silicon Carbide '87, Ceramic. Transactions, Vol 2, edited by J. D. Cawley and C. E. Semler (Am. Cer. Soc., Westerville, OH., 1989) pp. 215–26.
S. G. Seshadri and M. Srinivasan, J. Amer. Ceram. Soc. 64 (1981) C69.
T. Ohji, Y. Yamauchi, W. Kanematsu and S. Ito, ibid. 72 (1989) 688.
A. K. Mukhopdhay, D. Chakrborty and J. Mukerji, J. Mater. Sci. Lett. 6 (1987) 1198.
R. K. Govila, J. Mater. Sci. 23 (1988) 1141.
R. W. Rice, K. R. Mckinney, C. CM. Wu, S. W. Freiman and W. J. McDonough, ibid. 20 (1985) 1392.
J. A. Salem, S. R. Choi, M. R. Freedman and M. G. Jenkins, ibid. 27 (1992) 4421.
C.-W. Li, D. J. Lee and S.-C. Lui, J. Amer. Ceram. Soc. 75 (1992) 1777–85.
T. Kawashima, H. Okamoto, H. Yamamoto and A. Kitamura, J. Ceram Soc. Jpn Int. Ed. 99 (1991) 310.
N. Hirosaki, Y. Akimune and M. Mitomo, J. Amer. Ceram. Soc. 76 (1993) 1892.
K. Matsuhiro and T. Takahashi, Ceram. Eng. Sci. Proc. 10 (1989) 807.
C. M. B. Henderson and D. Taylor, Trans. J. Br. Ceram. Soc. 74 (1975) 49.
D. Townsend and J. E. Field, J. Mater. Sci. 25 (1990) 1347.
D. C. C. Lam, F. F. Lange and A. G. Evans, J. Amer. Ceram. Soc. 77 (1994) 2113.
C. CM. Wu and R. W. Rice, Ceram. Eng. Sci. Proc. 6 (1985) 977.
J. A. Cappola and R. C. Bradt, J. Amer. Ceram. Soc. 56 (1973) 392.
R. F. Pabst, in “Fracture Mechanics of Ceramics”, Vol. 2, edited by R. C. Bradt, D. P. H. Hasselman, and F. F. Lange (Plenum Press, New York, 1974) pp. 555–65.
N. Claussen, R. Pabst and C. P. Lahm Ann, Proc. Br. Ceram. Soc. 25 (1975) 139.
A. G. Evans and G. Tappin, ibid. 20 (1972) 275.
D. R. Biswas and R. M. Fulrath, Trans. J. Br. Ceram. Soc. 79 (1980) 1.
G. W. Hollenburg and G. Walther, J. Amer. Ceram. Soc., 63 (1980) 610.
Yu. L. Krasulin, V. N. Timofee, S. M. Barinov and A. B. Ivanov, J. Mater. Sci. 15 (1980) 1402.
R. W. Rice, ibid. 19 (1984) 895.
E. D. Case and J. R. Smyth, ibid. 16 (1981) 3215.
F. J. P. Clarke, H. G. Tattersall and G. Tappin, Proc. Br. Ceram. Soc. 6 (1966) 163.
A. D. Osipov, I. T. Ostapenko, V. P. Podtykan, N. S. Poltavsev and I. A. Snezhko, Poroshkovaya Metall. 322 (1989) 48 (in Russian).
K. R. McKinney and R. W. Rice, in “Fracture Mechanics Methods for Ceramics, Rocks and Concrete”, ASTM STP 745, edited by S. W. Freiman and E. R. Fuller Jr. (American Society for Testing Materials, Philadelphia, PA, 1981) pp. 118–26.
R. P. Ingel, Private communication.
R. W. Rice, C. Cm. Wu and F. Borchelt, J. Amer. Ceram. Soc. 77 (1994) 2539.
R. W. Rice, ibid. 77 (1994) 2479.
P. Lemaitre and R. Piller, J. Mater. Sci. Lett. 7 (1988) 772.
C. A. Tracy and G. D. Quinn, Ceram. Eng. Sci. Proc. 15 (1994) 837.
G. Orange, H. Tanaka and G. Fantozzi, Ceram Int. 13 (1987) 159.
M. Srinivasan and S. G. Seshadri, “Fracture Mechanics of Ceramics, Rocks and Concrete”, ASTM STP 745, edited by S. W. Freiman and E. R. Fuller Jr. (American Society for Testing Materials, Philadelphia, PA, 1981) pp. 46–48.
J. J. Petrovic and L. A. Jacobson, J. Amer. Ceram. Soc. 59 (1976) 34.
G. D. Quinn, D. R. Messier and L. L. Schoiler, Army Materials Laboratory Report, AMMRCC TR 83-18.
D. C. Larsen and G. C. Walther, Itt Research Institute Semiannual Interim Technical Report No. 6 for Air Force Contract F33615-75-C-5196, 7/20/1978.
R. K. Govila, J. Amer. Ceram. Soc. 65 (1980) 319.
D. Chakraborty and A. K. Mukhopadhyay, Central Glass Ceram. Bull 34 (1987) 59.
R. W. Rice, Ceram. Eng. Sci. Proc. 11 (1990) 667.
R. W. Rice, S. W. Freiman and J. J. Mecholsky Jr., J. Amer. Ceram. Soc. 63 (1980) 129.
J. A. Cappola and R. C. Bradt, ibid. 55 (1972) 455.
R. W. Rice, in “Treatise on Materials Science and Technology”, Vol. 11, Properties and Microstructure, edited by R. K. MacCrone (Academic Press, New York, 1977) pp. 191–381.
Idem, to be published.
Idem, J. Amer. Ceram. Soc. 76 (1993) 1898.
Idem, J. Mater. Sci. Lett. 13 (1994) 1261.
R. W. Rice, C. CM. Wu and K. R. McKinney, J. Mater. Sci. submitted.
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Rice, R.W. Grain size and porosity dependence of ceramic fracture energy and toughness at 22 °C. JOURNAL OF MATERIALS SCIENCE 31, 1969–1983 (1996). https://doi.org/10.1007/BF00356616
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DOI: https://doi.org/10.1007/BF00356616