The Tensile and Compressive Fracture of Ice

  • E. M. Schulson
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The brittle fracture of ice under uniaxial tension and compression is discussed in terms of the nucleation and the propagation of internal cracks. The discussion reveals that fracture under both applied stress states can be understood in terms of theories previously developed for the fracture of brittle solids. Also, it shows that the applied strain rate which marks the transition from ductile to brittle behavior under compression can be expressed quantitatively by invoking a fracture model which incorporates crack-tip creep and frictional crack sliding.


Brittle Fracture Wing Crack Internal Crack Sharp Crack Brittle Solid 
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  1. ASTM - E 399. 1981. Standard test method for plane-strain fracture toughness of metallic materials. Amer. Soc. for Test, and Mater.Google Scholar
  2. Ashby, M.F. and Hallam, S.D. 1986. The failure of brittle solids containing small cracks under compressive stress states. Acta Met. Vol. 34, pp. 497–510.CrossRefGoogle Scholar
  3. Barnes, P., Tabor, D., and Walker, J.F.C. 1971. The friction and creep of polycrystalline ice. Proc. Royal Society of London, A. Vol. 324, pp. 127–155.CrossRefGoogle Scholar
  4. Cannon, N.P., Schulson, E.M., and Smith, T.R. 1989. Wing cracks in ice. (to be submitted for publication).Google Scholar
  5. Cole, D.M. 1987. Strain-rate and grain-size effects in ice. J. Glaciology. Vol. 33, pp. 274–280.Google Scholar
  6. Costin, L.S. 1983. A microcrack model for the deformation and failure of brittle rock. J. Geophys. Res. Vol. 88, pp. 9485–9492.CrossRefGoogle Scholar
  7. Costin, L.S. 1985. Damage mechanics in the post-failure region. Mech. of Mater. Vol. 4, pp. 149–160.CrossRefGoogle Scholar
  8. Currier, J.H. and Schulson, E.M. 1982. The tensile strength of ice as a function of grain size. Acta Met. Vol. 30, pp. 1511–1514.CrossRefGoogle Scholar
  9. Glen, J.W. 1953. The creep of polycrystalline ice. Proc. Roy. Soc. A. Vol. 228, pp. 519–538.Google Scholar
  10. Goetze, C.G. 1965. A study of brittle fracture as applied to ice. USA-CRREL Tech. Note (unpublished).Google Scholar
  11. Gold, L.W. 1966. Dependence of crack formation on crystallographic orientation for ice. Can. J. Phys. Vol. 44, pp. 2757–2764.CrossRefGoogle Scholar
  12. Gold, L.W. 1970. Process of failure in ice. Can. Geotech. J. Vol. 7, pp. 405–413.CrossRefGoogle Scholar
  13. Gold, L.W. 1972. The process of failure of columnar-grained ice. Phil. Mag. Vol. 26, pp. 311–328.CrossRefGoogle Scholar
  14. Hawkes, I. and Mellor, M. 1972. Deformation and fracture of ice under uniaxial stress. J. Glaciology. Vol. 11, pp. 103–129.Google Scholar
  15. Horii, H. and Nemat-Nasser, S. 1986. Brittle fracture in compression: splitting, faulting and brittle-ductile transition. Phil. Trans. Roy. Soc. London. A. Vol. 319, pp. 337–374.CrossRefzbMATHGoogle Scholar
  16. Jaeger, C. and Cook, N.G.W. 1979. Fundamentals of Rock Mechanics ( 3rd ed ). London: Chapman Hall.CrossRefGoogle Scholar
  17. Jones, D.E. 1989. An experimental investigation of low-speed, ice — ice friction. M.E. Thesis, Thayer School of Engineering, Dartmouth College.Google Scholar
  18. Jones, S.J. 1982. The confined compressive strength of polycrystalline ice. J. Glaciology. Vol. 28, pp. 171–177.Google Scholar
  19. Kalifa, P., Duval, P., and Ricard, M. 1989. Nucleation of cracks in polycrystalline ice under compression. Proc. OMAE, The Hague, The Netherlands, Vol. 4, pp. 13–21.Google Scholar
  20. Kuehn, G.A., Schulson, E.M. and Nixon, W.A. 1988. The effects of prestrain on the compressive ductile-to-brittle transition in ice. Proc. IAHR Ice Symp., Sapporo, Japan, pp. 109–117.Google Scholar
  21. Kuehn, G.A. and Schulson, E.M. 1989. (unpublished results).Google Scholar
  22. Lee, R.W. and Schulson, E.M. 1988. The strength and ductility of ice under tension. J. Offshore Mechanics Arctic Engg. Vol. 110, pp. 187–191.CrossRefGoogle Scholar
  23. McClintock, F.A. and Walsh, J.B. 1963. Friction on Griffith cracks in rock under pressure. Proc. 4th U.S. Nat. Cong. Appl. Mech. ASME. Vol. 2. pp. 1015–1021.Google Scholar
  24. Nemat-Nasser, S. and Horii, H. 1982. Compression-induced nonplanar crack extension with application to splitting, exfoliation and rockburst. J. Geophys. Res. Vol. 87, pp. 6805–6821.CrossRefGoogle Scholar
  25. Schulson, E.M. and Cannon, N.P. 1984. The effect of grain size on the compressive strength of ice. IAHR Ice Symp., Hamburg, Germany, pp. 24–38.Google Scholar
  26. Schulson, E.M., Lim, P.N. and Lee, R.W. 1984. A brittle to ductile transition in ice under tension. Phil. Mag. Vol. 49, pp. 353–363.CrossRefGoogle Scholar
  27. Schulson, E.M.; Baker, I., Robertson, C.D., Bolon, R.B., and Harnimon, R.J. 1989a. Fractography of ice. J. Mat. Sci. Letts. Vol. 8, pp. 1193–1194.CrossRefGoogle Scholar
  28. Schulson, E.M., Gies, M.C. and Lasonde, G.J. 1989b. The effect of the specimen-platen interface on internal cracking and brittle fracture of ice under compression: highspeed photography. J. Glaciology, Vol. 35, pp. 378–382.Google Scholar
  29. Schulson, E.M., Hoxie, S.G., and Nixon, W.A. 1989c. The tensile strength of cracked ice. Phil. Mag. A. Vol. 59, pp. 303–311.CrossRefGoogle Scholar
  30. Sinha, N.K. 1982. Delayed elastic strain criterion for first cracks in ice. Proc. IUTAM Symp. of Deformation and Failure of Granular Materials, pp. 323–330.Google Scholar
  31. Smith, E. and Barnby, J.T. 1967. Crack nucleation in crystalline solids. Metal Sci. J. Vol. 1, pp. 56–64.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • E. M. Schulson
    • 1
  1. 1.Thayer School of EngineeringDartmouth CollegeHanoverUSA

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