Hostname: page-component-848d4c4894-sjtt6 Total loading time: 0 Render date: 2024-07-05T14:08:37.068Z Has data issue: false hasContentIssue false
  • English
  • Français

Determination of fracture toughness from the extra penetration produced by indentation-induced pop-in

Published online by Cambridge University Press:  31 January 2011

J. S. Field ,
M. V. Swain  and
R. D. Dukino
J. S. Field
Affiliation:
Department of Aerospace, Mechanical & Mechatronics Engineering, The University of Sydney, NSW 2006, Australia
M. V. Swain
Affiliation:
Department of Aerospace, Mechanical & Mechatronics Engineering, The University of Sydney, NSW 2006, Australia, and Biomaterials Science Research Unit, Faculty of Dentistry, The University of Sydney, Australian Technology Park, Eveleigh, NSW 2006, Australia
R. D. Dukino
Affiliation:
Broken Hill Proprietry Ltd. Research Labs., Newcastle, NSW 2006, Australia
Get access

Abstract

The fracture toughness of small volumes of brittle materials may be investigated by using pyramidal indenters to initiate radial cracks. The length of these cracks, together with indenting load and the hardness to modulus ratio of the material, were combined to calculate the critical stress intensity factor Kc pertinent to fracture toughness. Modulus and hardness may be obtained from the literature or may be measured using nanoindentation techniques. If the material volume is very small, such as single grains in a conglomerate, a reduction of scale may be obtained by reducing the internal face angles of the indenter. This encourages crack initiation at lower loads, but cracks produced at very low loads are short and difficult to measure. Experiments on fused silica and glassy carbon suggested that radial cracks are initiated during loading and that when indenters with sufficiently small angles are used these cracks immediately pop-in, to become fully developed median/radial crack systems. Following pop-in, the rate of penetration of the indenter increases and at higher loads there is an extra increment of penetration over that which would otherwise have occurred. In this study a method is described whereby this extra penetration may be determined. Then for two dissimilar brittle materials, crack length is shown to be correlated with extra penetration leading to a relationship that may possibly avoid the necessity for crack-length measurement.

Type
Articles
Information
Journal of Materials Research , Volume 18 , Issue 6 , June 2003 , pp. 1412 - 1419
Copyright
Copyright © Materials Research Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Lawn, B.R., Evans, A.G., and Marshall, J., J. Am. Ceram. Soc. 63, 574 (1980).CrossRefGoogle Scholar
2.Harding, D.S., Oliver, W.C., and Pharr, G.M., in Evolution of Thin-Film and Surface Structure and Morphology, edited by Demczyk, B.G., Williams, E.D., Garfunkel, E., Clemens, B.M., and Cuomo, (Mater. Res. Soc. Proc. 355, Pittsburgh, PA, 1995), 663; see also G.M. Pharr, Mater. Sci. Eng. A 253, 151 (1998).Google Scholar
3.Oliver, W.C. and Pharr, G.M., J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
4.Rowcliffe, D.J., Key Eng. Mater. 71, 10 (1992).Google Scholar
5.Dukino, R.D. and Swain, M.V., J. Am. Ceram. Soc. 75, 3299 (1992).CrossRefGoogle Scholar
6.Ouchterlony, F., Eng. Fract. Mech. 8, 447 (1976).CrossRefGoogle Scholar
7.Chiang, S.S., Marshall, D.B., and Evans, A.G., J. Appl. Phys. 53, 298 (1982).CrossRefGoogle Scholar
8.Hill, R., The Mathematical Theory of Plasticity (Clarendon, Oxford, U.K., 1950).Google Scholar
9.Johnson, K., J. Mech. Phys. Solids 18, 115 (1970).Google Scholar
10.Yoffe, E.H., Philos. Mag. A 46, 617 (1982).Google Scholar
11.Palmquist, S., Jemkontorets Ann. 141, 300 (1957).Google Scholar
12.Cook, R.F. and Pharr, G.M., J. Am. Ceram. Soc. 73, 787 (1990).Google Scholar
13.Tada, H., Paris, P., and Irwin, G., The Stress Analysis of Cracks Handbook (Del Research, St. Louis, MO, p. 24.9).Google Scholar
14.Iwashita, N., Field, J.S., Swain, M.V., Ohta, N., Bitoh, S., Carbon 39, 1525 (2001).CrossRefGoogle Scholar
15.Harris, P.J.F., in The Encyclopedia of Materials: Science and Technology (Elsevier, Amsterdam, The Netherlands, 2001).Google Scholar
16.Field, J.S. and Swain, M.V., Carbon 34, 1357 (1996).CrossRefGoogle Scholar
17.Swain, M.V. and Field, J.S., Philos. Mag. A 74, 1085 (1966).CrossRefGoogle Scholar
18.Munz, D. and Fett, T., The Chemical Properties of Ceramic Materials (Springer Verlag, Berlin, Germany, 1989).Google Scholar
19.Iwashita, N. (private communication, 2000).Google Scholar