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An orthotropic constitutive model for secondary creep of ice

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
As polycrystaline ice undergoes creep deformation over long time-periods, it develops a fabric (oriented structure) and associated, strain-induced anisotropy. In the paper, a frame-indifferent orthotropic constitutive model for secondary creep of ice is formulated, in which the strain-rate is expressed in terms of the deviatoric stress, strain, and three structure tensors based on the principal deformation axes. As an illustration, the model is used to determine the evolution of the creep response of ice to continued uniaxial compression and simple shearing.
Rocznik
Strony
65--85
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
  • Polish Academy of Sciences, Institute of Hydroengineering, Szczecin, Poland
Bibliografia
  • 1. N. AZUMA, A flow law for anisotropic ice and its application to ice sheets, Earth Planet. Sci. Lett., 128, 601-614, 1994.
  • 2. J. P. BOEHLER, Representations for isotropic and anisoirapic non-polynomial tensor junctions, [In:] J. P. BOEHLER [Ed.], Applications of tensor functions in solid mechanics, 31-53, Springer, Wien 1987.
  • 3. W. F. BUDO and T. H. JACKA, A review of ice rheology for ice sheet modelling, Cold Reg. Sci. Technol., 16, 107-144, 1989.
  • 4. O. CASTELNAU, P. DUVAL, R. A. LEBENSOHN and G. R. CANOVA, Viscoplastic modeling of texture development in polycrystalline ice with a self-consistent approach: Comparison with bound estimates, J. Geophys. Res., 101, (B6), 13851-13868, 1996.
  • 5. O. GAGLIARDINI and J. MEYSSONNIER, Analytical derivations for the behaviour and fabric evolution of a linear orthotropic ice polycrystal, J. Geophys. Res., 104, (B8), 17797-17809, 1999.
  • 6. G. GÖDERT and K. HUTTER, Induced anisotropy in large ice shields: Theory and its homogenization, Continuum Mech. Thermodyn., 10, 5, 293-318, 1998.
  • 7. A. J. Gow and T. C. WILLIAMSON, Rheological implications of the internal structure and crystal fabrics of the West Antarctic ice sheet as revealed by deep core drilling at Byrd Station, Geol. Soc. Am. Bull., 87, 12, 1665-1677, 1976.
  • 8. L. LLIBOUTRY, Anisotropic, transversely isotropic nonlinear viscosity of rock ice and rheological parameters inferred from homogenization, Int. J. Plast., 9, 5, 619-632, 1993.
  • 9. L. LLIBOUTRY and P. DUVAL, Various isotropic and anisotropic ices found in glaciers and polar ice caps and their corresponding rheologies, Ann. Gheophys., 3, 2, 207-224, 1985.
  • 10. A. MANGENEY, F. CALIFANO and O. CASTELNAU, Isothermal flow of an anisotropic ice sheet in the vicinity of an ice divide, J. Geophys. Res., 101, (B12), 28189-28204, 1996.
  • 11. A. MANGENEY, F. CALIFANO and K. HUTTER, A numerical study of anisotropic, law Reynolds number, free surface flow for ice sheet modeling, J. Geophys. Res., 102, (B10), 22749-22764, 1997.
  • 12. J. MEYSSONNIER and A. PHILIP, A model for tangent viscous behaviour of anisotropic polar ice, Ann. Glaciol., 23, 253-261, 1996.
  • 13. L. W. MORLAND and R. STAROSZCZYK, Viscous response of polar ice with evolving fabric, Continuum Mech. Thermodyn., 10, 3, 135-152, 1998.
  • 14. W. S. B. PATERSON, The physics of glaciers, Pergamon Press, 2nd, Oxford 1981.
  • 15. D. S. RUSSEL-HEAD and W. F. BUDD, Ice-sheet flow properties derived from bore-hole shear measurements combined with ice-core studies, J. Glaciol., 24, 90, 117-130, 1979.
  • 16. A. J. M. SPENCER, Continuum Mechanics, Longman, Harlow 1980.
  • 17. R. STAROSZCZYK and O. GAGLIARDINI, Two orthotropic models for the strain-induced anisotropy of polar ice, J. Glaciol., 45, 151, 485-494, 1999.
  • 18. R. STAROSZCZYK and L. W. MORLAND, Orthotropic viscous response of polar ice, J. Engng. Math., 37, 1-3, 191-209, 2000.
  • 19. R. STAROSZCZYK and L. W. MORLAND, Plane ice-sheet flow with evolving orthotropic fabric, Ann. Glaciol., 30, 93-101, 2000.
  • 20. B. SVENDSEN and K. HUTTER, A continuum approach for modelling induced anisotropy in glaciers and ice sheets, Ann. Glaciol., 23, 262-269, 1996.
  • 21. T. THORSTEINSSON, J. KIPFSTUHL and H. MILLER, Textures and fabrics in the GRIP ice core, J. Geophys. Res., 102, (C12), 26583-26599, 1997.
  • 22. C. J. VAN der VEEN and L M. WHILLANS, Development of fabric in ice, Cold Reg. Sci. Technol., 22, 2, 171-195, 1994.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0001-0095
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