Skip to main content
Log in

A probabilistic model for the scale effect on fracture toughness of structural ceramics

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

The fracture toughness of polycrystalline ceramics used to present the scale effect as well as statistical distribution. It is believed that both (scale effect and scatter) must be associated with the heterogeneity of materials. However, no generally accepted theory has been established so far. Using statistical approach, a probabilistic modelling for the fracture toughness which describes the scale effect was attempted in this paper. Weibull distribution of specific fracture energy (SFE) at local area and Griffith criterion are jointly applied to the model. Finally, the fracture toughness scale dependence of ASTM E399 standard specimens was investigated by the newly developed model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • ASTM E399. 1992, Annual Book of ASTM Standards, Vol. 02.02.

  • Bao, Yiwang, Jin, Zongzhe and Li, Xiaorui, 1994, “Evaluation of KIC Depending on Sample Size for Ceramics,”Engineering Fracture Mechanics, Vol. 48, No. 1, pp. 85–90.

    Article  Google Scholar 

  • Calomino, A., Brewer, D., Kim, A. and Chudnovsky, A., 1992, “A Comparative Analysis of Brittle Fracture in Amorphous and Polycrystalline Materials,”Proceedings of Materials Research Society Symposium, Vol. 279, pp. 165–172.

    Google Scholar 

  • Chudnovsky, A., Kim, A. and Bosnyak, C. P., 1992, “An Energy Analysis of Crack Initiation and Arrest in Epoxy,”Int. J. of Fracture, Vol. 55, pp. 209–222.

    Google Scholar 

  • Chudnovsky, A., and Kunin, B., 1987, “Probabilistic Model of Brittle Crack Formation,”Journal of Applied Physics, Vol. 62, No. 10, pp. 4124–4129.

    Article  Google Scholar 

  • Duan, K., Mai, Y.-M. and Cotterell, B. 1995, “R-Curve Effect on Strength and Reliability of Toughened Ceramic Materials,”Journal of Materials Science, Vol. 30, pp. 1405–1408.

    Article  Google Scholar 

  • Frendenthal, A. M., 1968, “Statistical Approach to Brittle Fracture,”Fracture an Advanced Treatise, Vol. 2. Academic Press, pp. 591–619.

  • Gurumoorthy, B., Kircher, H. O. K., Prinz, F. B. and Sinclair, G. B., 1988, “Thickness Effects May Not Do What You Think Do,”Engineering Fracture Mechanics, Vol. 29, No. 6, pp. 637–640.

    Article  Google Scholar 

  • Matsuo, Y., Kitakami, K., and Kimura, S., 1987, “Crack Size and Strength Distribution of Structural Ceramics After Non-Destructive Inspection,”Journal of Materials Science, Vol. 22, pp. 2253–2256.

    Article  Google Scholar 

  • Neville, D. J., 1987, “The Non-Conservatism of the Weibull Function when Applied to the Statistics of Fracture Toughness,”Int. J. of Fracture, Vol. 34, pp. 309–315.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, A., Nahm, SH. A probabilistic model for the scale effect on fracture toughness of structural ceramics. KSME International Journal 12, 792–799 (1998). https://doi.org/10.1007/BF02945546

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02945546

Key Words

Navigation