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Kinetics of Microcracking and Dilatation in Polycrystalline Ice

  • Nirmal K. Sinha
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

The paper presents a micromechanically based, structure sensitive constitutive equation for creep and dilatation for uniaxial stress application. The model can be applied for constant stress as well as constant strain-rate loading conditions. It is based on intragranular dislocation creep enhanced by grain-facet size cracks produced during deformation by the embrittlement process that is caused by an intergranular sliding mechanism. Incorporation of the kinetics of microcracking activity, enhancement of the matrix creep by these cracks and the associated generation of void volume is the foundation of the theory.

Keywords

Axial Strain Volumetric Strain Constant Stress Crack Density Minimum Creep Rate 
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References

  1. Baker, T.H.W., Jones, S.J. and Parameswaran, V.R. 1981. Confined and unconfined compression tests on frozen sands. The Roger J.E. Brown Memorial Volume, Proc. 4th Canadian Permafrost Conference, Calgary, Alberta, March 2–6, Published by N.R.C. Canada, pp. 387–393.Google Scholar
  2. Barnes, P., Tabor, D. and Walker, J.C.F. 1971. The friction and creep of polycrystalline ice. Proc. Royal Soc. London, Ser. A, Vol. 324, No. 1557, pp. 127–155.CrossRefGoogle Scholar
  3. Glen, J.W. 1955. The creep of polycrystalline ice. Proc. Royal Soc., London, Ser. A, Vol. 228, No. 1175, pp. 519–538.CrossRefGoogle Scholar
  4. Gold, L.W. 1972. The process of failure of columnar-gained ice. Phil. Mag., Vol. 26, No. 2, pp. 311–328.CrossRefGoogle Scholar
  5. Jacka, T.H. 1984. The time and strain required for the development of minimum strainrates in ice. Cold Regions Sci. Tech., Vol. 8, pp. 261–268.CrossRefGoogle Scholar
  6. Mellor, M., and Cole, D.M. 1982. Deformation and failure of ice under constant stress or constant strain-rate. Cold Regions Science and Technology, Vol. 5, pp. 201–219.CrossRefGoogle Scholar
  7. Mellor, M., and Cole, D.M. 1983. Stress/strain/time relations for ice under uniaxial compression. Cold Regions Science and Technology, Vol. 6, pp. 207–230.CrossRefGoogle Scholar
  8. Sinha, N.K. 1979. Grain boundary sliding in polycrystalline materials. Phil. Mag.A., Vol. 40, No. 6, pp. 825–842.CrossRefGoogle Scholar
  9. Sinha, N.K. 1984b. Delayed elastic model for initiation and accumulation of creep cavitation at high temperatures. Advances in Fracture Research, Proc. 6th Int. Conf. on Fracture (ICF6), Pergamon Press, Oxford, Vol. 3, pp. 2295–2302.Google Scholar
  10. Sinha, N.K. 1987. Effective Poisson’s ratio of isotropic ice. Proceedings 6th International Symposium Offshore Mechanics and Arctic Engineering (ASME), Houston, Texas, USA, 1–5 March, Vol. 4, pp. 189–195.Google Scholar
  11. Sinha, N.K. 1988a. Crack-enhanced creep in polycrystalline material: strain-rate sensitive strength and deformation of ice. J. Materials Science, Vol. 23, No. 12, pp. 4415–4428.CrossRefGoogle Scholar
  12. Sinha, N.K. 1989b. Ice and steel - a comparison of creep and failure. Mechanics of Creep Brittle Materials - 1, Proc. Euromech - 239, 15–17 August, 1988, Leicester, U.K., Edited by A.C.F. Cocks and A.R.S. Ponter, Elsevier Applied Science Publishers, London, pp. 201–212.Google Scholar
  13. Sinha, N.K. 1989c. Elasticity of natural types of polycrystalline ice. Cold Regions Science and Technology, Vol. 17, No. 2, pp. 127–136.CrossRefGoogle Scholar
  14. Sodhi, D.S., and Nakazawa, N. 1988. Results from indentation tests on freshwater ice. Proc. 9th Int. Symp. on Ice, Sapporo, Int. Ass. on Hydraulic Research, Sapporo, Aug. 23–27, Vol. 1, pp. 341–350.Google Scholar
  15. Stone, B.M., Jordaan, I.J., Jones, S.J. and McKenna, R.F. 1989. Damage of isotropic polycrystalline ice under moderate confining pressures. Proc. 10th Int. Conf. on Port and Ocean Eng. under Arctic Conditions (POAC), Lulea, Sweden, June 12-16, Vol. 1, pp. 408–419.Google Scholar
  16. St.Lawrence, W.F. and Cole, D.M. 1982. Acoustic emissions from polycrystalline ice. US Army Cold Regions Research and Engineering Laboratory ( CRREL ), Report 82–21, 15p.Google Scholar
  17. Zaretsky, Y.K., Chumichev, B.D. and Solomatin, V.I. 1979. Ice behaviour under load. Engineering Geology, Vol.13, No. l’4, pp. 299–309.CrossRefGoogle Scholar
  18. Zhu, Y. and Carbee, D.L. 1987. Creep and strength behavior of frozen silt in uniaxial compression. US Army Cold Regions Research and Engineering Laboratory ( CRREL ), Report 87–10, 67p.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Nirmal K. Sinha
    • 1
  1. 1.Geotechnical Section Institute for Research in ConstructionNational Research Council of CanadaOttawaCanada

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