Fracture Toughness of Cement-Based Materials

  • Surendra P. Shah
Conference paper

Abstract

Fracture toughness is a material property which can be defined in terms of critical stress intensity factor. For structural metals, for mode I deformation and small crack-tip plastic deformation the critical stress intensity factor when unstable fracture occurs is designated as KIc. Fracture toughness of metals is used in design to prevent brittle fracture as well as to predict fatigue crack growth. Fracture toughness of metals is a material property distinctly different from the corresponding yield strength. For example, fracture toughness decreases with increasing strain rate, whereas, yield strength shows the opposite effect (Fig. 1). Test methods have been established to determine plane strain fracture toughness (KIc) values for metals (see for example Ref. 1).

Keywords

Fatigue Brittle Deconvolution Nite 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Barsom, J. M., and Rolfe, S. T., Fracture and Fatigue Control in Structures, Prentice Hall Inc., New Jersey, USA, 1987.Google Scholar
  2. 2.
    Shah, S. P., and McGarry, F. J., “Griffith Fracture Criterion and Concrete,” Journal of Engineering Division, ASCE, Dec. 1971, pp. 1663–1675.Google Scholar
  3. 3.
    Wittmann, F. H. (Editor), Fracture Toughness and Fracture Energy of Concrete, Elsevier Science Publishers, The Netherlands, 1986.Google Scholar
  4. 4.
    Bazant, Z. P. (Editor), Mechanics of Geomaterials, John Wiley and Sons, UK, 1985, 611 pp.Google Scholar
  5. 5.
    Shah, S. P. (Editor), Application of Fracture Mechanics to Cementitious Composites, Martinus Nijhoff Publishers, The Netherlands, 1985.Google Scholar
  6. 6.
    Shah, S. P. and Swartz, S. E. (Editors), Proceedings, SEM-RILEM International Conference on Fracture of Concrete and Rock, Houston, USA, 1987.Google Scholar
  7. 7.
    John, R. and Shah, S. P., “Fracture of Concrete Subjected to Impact Loading,” Journal of Cement, Concrete and Aggregates, ASTM, Vol. 8, No. 1, pp. 24–32, Summer 1986.Google Scholar
  8. 8.
    Swartz, S. E., and Go, C.-G., “Validity of Compliance Calibration to Cracked Concrete Beams in Bending,” Experimental Mechanics, SEM, Vol. 24, No. 2, pp. 129–134, June 1984.CrossRefGoogle Scholar
  9. 9.
    Bascoul, A., Kharchi, F., and Maso, J. C., “Concerning the Measurement of the Fracture Energy of a Micro-Concrete According to the Crack Growth in a Three Points Bending Test on Notched Beams,” Proceedings, SEM-RILEM International Conference on Fracture of Concrete and Rock, Eds. S. P. Shah and W. E. Swartz, Houston, USA, 1987.Google Scholar
  10. 10.
    Maji, A. K. and Shah, S. P., “Process Zone and Acoustic Emission Measurements in Concrete,” Experimental Mechanics, SEM, Paper No. 3609, Accepted for Publication (in press), 1987.Google Scholar
  11. 11.
    Labuz, J., Shah, S. P., and Dowding, C. H., “Using Seismic Techniques to Characterize Fracture in Rock,” Experimental Techniques, SEM, pp. 30–32, March 1987.Google Scholar
  12. 12.
    Gopalaratnam, V. S., and Shah, S. P., “Softening Response of Plain Concrete in Direct Tension,” ACI Journal, Proceedings, Vol. 82, No. 3, pp. 310–323, May–June 1985.Google Scholar
  13. 13.
    Hillerborg, A., Modeer, M., and Petersson, P. E., “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Journal of Cement and Concrete Research, Vol. 6, pp. 773–782, 1976.CrossRefGoogle Scholar
  14. 14.
    Bazant, Z. P., and Oh, B. H., “Crack Band Theory for Fracture of Concrete,” RILEM, Materials and Structures, Vol. 16, No. 93, pp. 155–177, 1983.Google Scholar
  15. 15.
    Roelfstra, P. E. and Wittmann, F. H., “Numerical Method to Link Strain Softening with Failure of Concrete,” Fracture Toughness and Fracture Energy, (Ed. F. H. Wittmann), Elsevier Science Publishers, The Netherlands, pp. 163–175, 1986.Google Scholar
  16. 16.
    Rots, J. G., “Strain-Softening Analysis of Concrete Fracture Specimens,” Fracture Toughness and Fracture Energy (Ed. F. H. Wittmann), Elsevier Science Publishers, The Netherlands, pp. 137–148, 1986.Google Scholar
  17. 17.
    Hillerborg, A., “Discrete Crack Approach,” Fracture Mechanics of Concrete Applications — Part A: RILEM Technical Committee 90-FMA Report, Second Draft, May 1987.Google Scholar
  18. 18.
    Jenq, Y. S. and Shah, S. P., “A Fracture Toughness Criterion for Concrete,” Engineering Fracture Mechanics, Vol. 21, No. 5, pp. 1055–1069, 1985.CrossRefGoogle Scholar
  19. 19.
    Ballarini, R., Shah, S. P., and Keer, L. M., “Crack Growth in Cement Based Composites,” Engineering Fracture Mechanics, Vol. 20, No. 3, pp. 433–445, 1984.CrossRefGoogle Scholar
  20. 20.
    Jenq, Y. S., and Shah, S. P., “Two Parameter Fracture Model for Concrete,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 4, pp. 1227–1241, October 1985.CrossRefGoogle Scholar
  21. 21.
    Nallathambi, P., and Karihaloo, B. L., “Influence of Slow Crack Growth on the Fracture Toughness of Plain Concrete,” Fracture Toughness and Fracture Energy, (Ed. F. H. Wittmann), Elsevier Science Publishers, The Netherlands, pp. 271–180, 1986.Google Scholar
  22. 22.
    Refai, T. M. E., and Swartz, S. E., “Influence of Size Effects on Opening Mode Fracture Parameters for Precracked Concrete Beams in Bending,” Proceedings, SEM-RILEM Internal Conference on Fracture of Concrete and Rock, (Eds. S. P. Shah and S. E. Swartz), Houston, USA, 1987.Google Scholar
  23. 23.
    John, R. and Shah, S. P., “Effect of High Strength and Rate of Loading on Fracture Parameters of Concrete,” Proceedings, SEM-RILEM International Conference on Fracture of Concrete and Rock, (Eds. S. P. Shah and S. E. Swartz), Houston, USA, 1987.Google Scholar
  24. 24.
    Jenq, Y. S., and Shah, S.., “Mixed Mode Fracture Parameters of Concrete,” Proceedings, SEM-RILEM International Conference on Fracture of Concrete and Rock, (Eds. S. P. Shah and S. E. Swartz), Houston, USA, 1987.Google Scholar
  25. 25.
    Miller, R. A., Shah, S. P., and Bjilkhagen, H. I., “Crack Profiles in Mortar Measured by Holographic Interferometry,” Accepted for publication, Experimental Mechanics, SEM, 1988.Google Scholar
  26. 26.
    Maji, A., and Shah, S. P., “Process Zone and Acoustic Measurements in Concrete,” Experimental Mechanics, SEM Paper No. 3609, Accepted for Publication, 1988.Google Scholar
  27. 27.
    Alvarado, M., Shah, S. P., and John, R., “Mode I Fracture in Concrete Using Center Cracked Plate Specimens,” Accepted for publication, Journal of Engineering Mechanics, ASCE, March 1988.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Surendra P. Shah
    • 1
  1. 1.Center for Concrete and GeomaterialsNorthwestern UniversityEvanstonUSA

Personalised recommendations