Skip to main content
Log in

Elastic anisotropy and micro-damage processes in polycrystalline ice

Part II: Numerical simulations

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

This paper discusses numerical predictions of a microstructural damage model for polycrystalline ice which is presented in a companion paper [1]. The results are relevant for ice deforming at the high end of the quasi-static domain of loading. First, the fracture mechanics-based model of damage is investigated by comparing model predictions of the stresses to form (nucleate) the first microcracks with test data. This is followed by a detailed simulation of loading under uniaxial compression using the damage model and an internal variable creep model, also summarized in the companion paper [1]. This simulation allows the prediction of the evolving damaged elastic properties, and delineates the relative contribution of creep and microcracking to the total deformation.

The importance of load history on the deformation response is then illustrated by studying the influence of load path in biaxial loading. In these simulations, the competition between the mechanisms of failure by shear faulting and axial splitting is discussed in terms of the development of compliance anisotropy in the damaged body. Finally, the critical crack density is used as a macroscopic failure criterion to predict compressive strengths in the ductile-to-brittle transitional domain of strain rates, and its validity in more general states of stress involving different failure modes is questioned.

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

  1. M.S. Wu and S. Shyam Sunder, International Journal of Fracture 55 (1992) 223–243.

    Google Scholar 

  2. G. Dantl, Physik der Kondensierten Materie, Bd. 7, Ht. 5 (1968) 390–397.

    Google Scholar 

  3. P.H. Gammon, H. Kiefte, M.J. Clouter and W.W. Denner, Journal of Glaciology 29 (1983) 433–459.

    Google Scholar 

  4. E.M. Schulson, Journal de Physique, Colloque C1, Supplement no 3, Tome 48 (1987) 207–218.

  5. W.M. Ketcham and P.V. Hobbs, Philosophical Magazine A 19 (1969) 1161–1173.

    Google Scholar 

  6. V.R. Parameswaran, Journal of Glaciology 28 (1982) 161–169.

    Google Scholar 

  7. M.H. Yoo, Scripta Metallurgica 13 (1979) 131–136.

    Google Scholar 

  8. S. Shyam Sunder and S. Nanthikesan, Cold Regions Science and Technology, submitted.

  9. A.G. Evans, Fracture in Ceramic Materials: Toughening Mechanisms, Machining Damage, Shock, Noyes Publications, Park Ridge, New Jersey (1984).

    Google Scholar 

  10. N.K. Sinha, Journal of Material Science 23 (1988) 4415–4428.

    Google Scholar 

  11. S. Shyam Sunder and M.S. Wu, Cold Regions Science and Technology 18 (1990) 267–294.

    Google Scholar 

  12. P. Duval, M.F. Ashby and I. Anderman, Journal of Physical Chemistry 87 (1983) 4066–4074.

    Google Scholar 

  13. L.W. Gold, Philosophical Magazine 26 (1972) 311–328.

    Google Scholar 

  14. H. Horii and S. Nemat-Nasser, Journal of the Mechanics and Physics of Solids 31 (1983) 155–171.

    Google Scholar 

  15. D.M. Cole, Effect of grain size on the internal fracturing of polycrystalline ice, CRREL REPORT 86–5, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, NH, 1986.

    Google Scholar 

  16. D.M. Cole, in Proceedings of the IUTAM/IAHR Symposium in Ice-Structure Interaction (1989).

  17. P. Kalifa, P. Duval and M. Ricard, in Proceedings of the Eighth International Conference on Offshore Mechanics and Arctic Engineering, The Hague, Netherlands IV (1989) 13–21.

  18. S. Shyam Sunder and S. Nanthikesan, Cold Regions Science and Technology 18 (1990) 249–265.

    Google Scholar 

  19. E.M. Schulson, Acta Metallurgica et Materiallia 38 (1990) 1963–1976.

    Google Scholar 

  20. I.J. Jordaan and G.W. Timco, Journal of Glaciology 34(118) (1988) 318–326.

    Google Scholar 

  21. R.W. Marcellus, M. Sander, N.K. Sinha and V.K. Shah, in Proceedings of the Ninth International Conference on Offshore Mechanics and Arctic Engineering IV (1990) 95–101.

  22. B. Budiansky and R.J. O'Connell, International Journal of Solids and Structures 12 (1976) 81–97.

    Google Scholar 

  23. M.F. Ashby and S.D. Hallam, Acta Metallurgica 34 (1986) 497–510.

    Google Scholar 

  24. H. Horii and S. Nemat-Nasser, Journal of Geophysical Research 90 (1985) 3105–3125.

    Google Scholar 

  25. S.A.F. Murrell, P.R. Sammonds and M.A. Rist, in Proceedings of the IUTAM/IAHR Symposium on Ice-Structure Interaction (1989).

  26. E.M. Schulson, in Proceedings of the IUTAM/IAHR Symposium on Ice-Structure Interaction (1989).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, M.S., Shyam Sunder, S. Elastic anisotropy and micro-damage processes in polycrystalline ice. Int J Fract 55, 375–396 (1992). https://doi.org/10.1007/BF00035192

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00035192

Keywords

Navigation