Journal of Materials Science

, Volume 26, Issue 9, pp 2313–2321 | Cite as

Fracture mechanics model for subthreshold indentation flaws

Part II Non-equilibrium fracture
  • S. Lathabai
  • J. Rödel
  • T. Dabbs
  • B. R. Lawn


In Part II of this two-part study we extend the shear-fault-microcrack model to non-equilibrium fracture, to allow for rate effects in the critical instability configurations in chemically interactive environments. The “calibrated”K-fields of Part I are combined with independently evaluated crack velocity functions to determine kinetic conditions for microcrack extension. The analysis enables evaluation of (i) a time delay in radial crack pop-in from a subthreshold flaw; (ii) a time dependence in the strength characteristics, in both the subthreshold and postthreshold domains. Comparisons with delayed pop-in and strength-stressing-rate literature data for silicate glasses in moist environments indicate that the analysis is capable of quantitative predictions of kinetic characteristics. In the strength data, the model accounts for the relatively high magnitudes, scatter and fatigue susceptibilities in the subthreshold region.


Fatigue Silicate Glass Kinetic Characteristic Quantitative Prediction Velocity Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. Lathabai, J. Rödel, T. P. Dabbs andB. R. Lawn,J. Mater. Sci.,26 (1991) 2157.Google Scholar
  2. 2.
    B. R. Lawn, T. P. Dabbs andC. J. Fairbanks,ibid. 18 (1983) 2785.Google Scholar
  3. 3.
    H. Multhopp, B. R. Lawn andT. P. Dabbs, in “Deformation of Ceramic Materials II”, edited by R. E. Tressler and R. C. Bradt (Plenum, New York, 1984) p. 681.Google Scholar
  4. 4.
    T. P. Dabbs, B. R. Lawn andP. L. Kelly,Phys. Chem. Glasses 23 (1982) 58.Google Scholar
  5. 5.
    T. P. Dabbs andB. R. Lawn,ibid. 23 (1982) 93.Google Scholar
  6. 6.
    T. P. Dabbs, C. J. Fairbanks andB. R. Lawn, ASTM STP 844 (American Society for Testing and Materials, Philadelphia, 1984) p. 142.Google Scholar
  7. 7.
    B. R. Lawn, D. B. Marshall andT. P. Dabbs, in “Strength of Glass”, edited by C. R. Kurkjian (Plenum, New York, 1985) p. 249.Google Scholar
  8. 8.
    T. P. Dabbs andB. R. Lawn,J. Amer. Ceram. Soc. 68 (1985) 563.Google Scholar
  9. 9.
    S. R. Choi, J. E. Ritter andK. Jakus,ibid.,73 (1990) 268.Google Scholar
  10. 10.
    B. R. Lawn andT. R. Wilshaw, in “Fracture of Brittle Solids” (Cambridge University Press, London, 1975).Google Scholar
  11. 11.
    S. Lathabai andB. R. Lawn,J. Mater. Sci. 24 (1989) 4298.Google Scholar
  12. 12.
    H. Multhopp andC. J. Fairbanks, Unpublished work.Google Scholar
  13. 13.
    T. P. Dabbs andB. R. Lawn,J. Amer. Ceram. Soc. 65 (1982) C-37.Google Scholar
  14. 14.
    D. B. Marshall andB. R. Lawn,ibid. 63 (1980) 532.Google Scholar
  15. 15.
    T. P. Dabbs, PhD Thesis, University of New South Wales, Australia (1984).Google Scholar
  16. 16.
    J. E. Ritter, J. M. Sullivan andK. Jakus,J. Appl. Phys. 49 (1978) 4779.Google Scholar
  17. 17.
    H. C. Chandan andD. Kalish,J. Amer. Ceram. Soc. 65 (1982) 171.Google Scholar
  18. 18.
    S. P. Craig, W. J. Duncan, P. W. France andJ. E. Snodgras, presentation at ECOC Conference, Cannes, France, 1982.Google Scholar
  19. 19.
    S. M. Wiederhorn andJ. E. Ritter, ASTM STP 678 (American Society for Testing and Materials, Philadelphia, 1979) p. 202.Google Scholar
  20. 20.
    S. P. Gunsasekera andD. G. Holloway,Phys. Chem. Glasses 14 (1973) 45.Google Scholar
  21. 21.
    J. F. Kranich andH. Scholze,Glasstechn. Ber. 49 (1976) 135.Google Scholar
  22. 22.
    C. J. Fairbanks, R. S. Polvani, S. M. Wiederhorn, B. J. Hockey andB. R. Lawn,J. Mater. Sci. Lett. 1 (1982) 391.Google Scholar
  23. 23.
    A. Arora, D. B. Marshall, B. R. Lawn andM. V. Swain,J. Non-Cryst. Solids 31 (1979) 415.Google Scholar
  24. 24.
    B. R. Lawn, A. G. Evans andD. B. Marshall,J. Amer. Ceram. Soc. 63 (1980) 574.Google Scholar
  25. 25.
    H. M. Chan andB. R. Lawn,ibid. 71 (1988) 29.Google Scholar
  26. 26.
    K.-T. Wan, S. Lathabai andB. R. Lawn,J. Eur. Ceram. Soc. 6 (1990) 259.Google Scholar
  27. 27.
    B. Stavrinidis andD. G. Holloway,Phys. Chem. Glasses 24 (1983) 19.Google Scholar
  28. 28.
    S. M. Wiederhorn,J. Amer. Ceram. Soc. 50 (1967) 407.Google Scholar
  29. 29.
    S. Sakaguchi, Y. Sawaki, Y. Abe andT. Kawasaki,J. Mater. Sci. 17 (1982) 2878.Google Scholar

Copyright information

© Chapman and Hall Ltd 1991

Authors and Affiliations

  • S. Lathabai
    • 1
  • J. Rödel
    • 1
  • T. Dabbs
    • 1
  • B. R. Lawn
    • 1
  1. 1.Ceramics DivisionNational Institute of Standards and TechnologyGaithersburgUSA

Personalised recommendations