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Maximum pore volume fraction and size for high fracture energy in porous bodies

Published online by Cambridge University Press:  11 February 2011

Luc J. Vandeperre ,
Jiaping Wang  and
William J. Clegg
Luc J. Vandeperre
Affiliation:
Ceramics Laboratory, Dept. of Materials Science and Metallurgy, University of Cambridge Pembroke Street, Cambridge CB2 3QZ, U.K.
Jiaping Wang
Affiliation:
Ceramics Laboratory, Dept. of Materials Science and Metallurgy, University of Cambridge Pembroke Street, Cambridge CB2 3QZ, U.K.
William J. Clegg
Affiliation:
Ceramics Laboratory, Dept. of Materials Science and Metallurgy, University of Cambridge Pembroke Street, Cambridge CB2 3QZ, U.K.
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Abstract

The fracture energy of a body containing pores might be expected to decrease linearly in proportion to the area fraction of material in the crack plane. However, there is experimental evidence that the fracture energy of porous materials only decreases when the pore volume fraction exceeds some critical value. To understand this, experiments have been conducted to directly observe the interaction between a growing crack with model distributions of pores. It is seen that cracks do not simply pass through the pores but spread around them causing the crack front to become curved and increase in length. For just two pores (or a line of pores) this is observed to continue until the crack has completely spread around the pores. It is observed that this increase in length increases the energy required for cracking, suggesting that the maximum fracture energy should rise with the volume fraction of pores. However, when this exceeds a certain value, the spreading crack front impinges on the pores ahead of the crack front before the maximum length of crack front due to bowing is reached. Beyond this critical volume of porosity, the resistance to fracture drops rapidly with porosity. Predictions of the relative fracture resistance of bodies containing spherical as well as cylindrical pores give good agreement with experimental observations, and are consistent with observations that the matrix fracture energy and pore size have little effect, provided the pores are much smaller than the sample.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 759: Symposium MM – Granular Material-Based Technologies , 2002 , MM2.3
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

1. Green, D.J. and Hardy, D., J. Mat. Sci. Letters, 15 1167–1168 (1996)Google Scholar
2. Simpson, L.A., J. Am. Ceram. Soc., 56 7–11 (1973)Google Scholar
3. Coppola, J.A. and Bradt, R.C., J. Am. Ceram. Soc., 56 392–393 (1973)Google Scholar
4. Wang, J., Vandeperre, L.J., and Clegg, W.J., Cer. Eng. Sci. Proc., (2001)Google Scholar
5. Wang, J., et al. in Key Engineering Materials (206–213 Trans Tech Publications, Switzerland, 2001) pp.2025–2028 Google Scholar
6. Yang, J.-F., et al., J. Am. Ceram. Soc., 85 1512–1516 (2002)Google Scholar
7. Lankmans, F., Eigenschappen van poreuze materialen voor gebruik in gelamineerde keramische composieten, Departement Metaalkunde en Toegepaste Materiaalkunde, Katholieke Universiteit Leuven: Leuven. p. 80 (1997)Google Scholar
8. Case, E.D. and Smyth, J.R., J. Mat. Sci., 16 3215–3217 (1981)Google Scholar
9. Sørensen, B.F., et al., J. Amer. Ceram. Soc., 81 661–669 (1998)Google Scholar