Anisotropic model for granulated sea ice dynamics

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 6, 2006, Pages 1147-1185

  Wilchinsky, Alexander V ^a,b   Feltham, Daniel L ^a,c  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b KAZAN FEDERAL UNIVERSITY   (Russian Federation)

^c BRITISH ANTARCTIC SURVEY   (United Kingdom)

Author keywords

Anisotropic; Granulated; Plastic; Sea ice

Indexed keywords

ANISOTROPY; MATHEMATICAL MODELS; PLASTICS; RHEOLOGY; TENSORS;

ANISOTROPIC; CONTINUUM MODEL; GRANULATED;

SEA ICE;

EID: 33645373027     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.12.006     Document Type: Article

References (30)

1. S.G. Advani, and C.L. Tucker III The use of tensors to describe and predict fiber orientation in short fiber composites J. Rheol. 31 1987 751 784
2. Ye. Aksenov, and W.D. Hibler III Failure propagation effects in an anisotropic sea ice dynamics model J.P. Dempsey H.H. Shen IUTAM Symposium on Scaling Laws in Ice Mechanics and Ice Dynamics 2001 Kluwer Academic Publishers Dordrecht 363 372
3. Bird, R.B., Hassager, O., Armstrong, R.C., Curtis, C.F., 1977. Dynamics of Polymeric Liquids, vol. II. Wiley, New York.
4. I. Bratchie Rheology of an ice floe field Ann. Glaciol. 5 1984 23 28
5. Coon, M.D., 1972. Mechanical behavior of compacted arctic ice floes. Paper No. OTC 1684, Offshore Technology Conference, Houston, Texas, 1-3 May 1972. American Institute of Metalurgical, Mining and Petroleum Engineers.
6. M.D. Coon, and R.S. Pritchard Mechanical energy considerations in sea-ice dynamics J. Glaciol. 24 1972 377 389
7. M.D. Coon, G.A. Maykut, R.S. Pritchard, D.A. Rothrock, and A.S. Thorndike Modeling the pack sea ice as an elastic-plastic material AIDJEX Bull. 24 1974 1 105
8. M.D. Coon, G.S. Knoke, D.C. Echert, and R.S. Pritchard The architecture of an anisotropic elastic-plastic sea ice mechanics constitutive law J. Geophys. Res. 103 1998 21915 21925
9. J.P. Dempsey Research trends in ice mechanics Int. J. Solids Struct. 37 2000 131 153
10. G.M. Flato, and W.D. Hibler III Ridging and strength in modelling the thickness distribution of Arctic sea ice J. Geophys. Res. 100 1995 18611 18626
11. J.M.N.T. Gray, and P.D. Killworth Stability of the viscous-plastic sea ice rheology J. Phys. Oceanogr. 25 1995 971 978
12. P. Heil, and W.D. Hibler III Modeling the high-frequency component of Arctic sea ice drift and deformation J. Phys. Oceanogr. 32 2002 3039 3057
13. W.D. Hibler III A viscous sea ice law as a stochastic average of plasticity J. Geophys. Res. 82 1977 3932 3938
14. W.D. Hibler III A dynamic thermodynamic sea ice model J. Phys. Oceanogr. 9 1979 815 846
15. W.D. Hibler III Sea ice fracturing on the larger scale Eng. Fract. Mech. 68 2001 2013 2043
16. W.D. Hibler III, and E.M. Schulson On modelling sea ice fracture and flow in numerical investigation of climate Ann. Glaciol. 25 1997 26 32
17. W.D. Hibler III, and E.M. Schulson Anisotropic failure and flow of flawed sea ice J. Geophys. Res. 105 2000 17105 17120
18. R. Kwok Deformation of the Arctic Ocean, sea ice cover between November 1996 and April 1997: a qualitative survey J.P. Dempsey H.H. Shen IUTAM Symposium on Scaling Laws in Ice Mechanics and Ice Dynamics 2001 Kluwer Academic Publishers Dordrecht 315 322
19. S.L. McNutt, and J.E. Overland Spatial hierarchy in Arctics sea ice dynamics Tellus 55A 2003 181 191
20. R.E. Moritz, and J. Ukita Geometry and the deformation of pack ice: I. A simple kinematic model Ann. Glaciol. 31 2000 313 322
21. R.S. Pritchard Mathematical characteristics of sea ice dynamics models J. Geophys. Res. 93 1988 15609 15618
22. S.B. Savage Analysis of slow high concentration flows of granular materials J. Fluid Mech. 377 1998 1 26
23. E.M. Schulson Brittle failure of ice Eng. Fract. Mech. 68 2001 1839 1887
24. E.M. Schulson, and O.Y. Nickolayev Failure of columnar saline ice under biaxial compression: failure envelopes and the brittle-to-ductile transition J. Geophys. Res. 100 1995 22383 22400
25. H.H. Shen, W.D. Hibler III, and M. Leppäranta The role of floe collision in sea ice rheology J. Geophys. Res. 92 1987 7085 7096
26. H.L. Stern, D.A. Rothrock, and R. Kwok Open water production in Arctic sea ice: satellite measurements and model parameterisations J. Geophys. Res. 100 1995 20601 20612
27. A.S. Thorndike, D.A. Rothrock, G.A. Maykut, and R. Colony The thickness distribution of sea ice J. Geophys. Res. 80 1975 4501 4513
28. L.B. Tremblay, and L.A. Mysak Modelling sea ice as a granular material, including the dilatancy effect J. Phys. Oceanogr. 27 1997 2342 2360
29. J. Ukita, and R.E. Moritz Yield curves and flow rules of pack ice J. Geophys. Res. 100 1995 4545 4557
30. A.V. Wilchinsky, and D.L. Feltham A continuum anisotropic model of sea-ice dynamics Proc. R. Soc. London Ser. A 460 2004 2105 2140