Rheology of discrete failure regimes of anisotropic sea ice

Journal of Physical Oceanography

Volumn 42, Issue 7, 2012, Pages 1065-1082

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

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Arctic; Sea ice

Indexed keywords

ARCTIC; ARCTIC SEA ICE; FAILURE CRITERIA; ICE THICKNESS; LINE ANGLE; LINEAR SEGMENTS; MINIMUM STRESS; OPEN WATER; ORIENTATIONAL DISTRIBUTIONS; REFREEZING; RHEOLOGICAL MODELS; SEA-ICE THICKNESS; SLIP LINES; STRESS MAGNITUDE; TENSILE FAILURES; YIELD CURVE;

ANISOTROPY; DEFORMATION; ELASTICITY; RHEOLOGY;

SEA ICE;

ANISOTROPY; COHESION; FAILURE MECHANISM; ICE MECHANICS; ICE THICKNESS; RHEOLOGY; SEA ICE; STRAIN RATE; TENSILE STRENGTH;

ARCTIC;

EID: 84868128727     PISSN: 00223670     EISSN: 15200485     Source Type: Journal    
DOI: 10.1175/JPO-D-11-0178.1     Document Type: Article

References (46)

1. Ashby, M. F., and S. D. Hallam, 1986: The failure of brittle solids containing small cracks under compressive stress states. Acta Metall., 34, 497-510, doi:10.1016/0001-6160(86)90086-6.
2. Bratchie, I., 1984: Rheology of an ice floe field. Ann. Glaciol., 5, 23-28.
3. Coon, M. D., G. A. Maykut, R. S. Pritchard, D. A. Rothrock, and A. S. Thorndike, 1974: Modelling the pack ice as an elasticplastic material. AIDJEX Bulletin, No. 24, University of Washington, Seattle, WA, 1-105.
4. Coon, M. D., G. S. Knoke, D. C. Echert, and R. S. Pritchard, 1998: The architecture of anisotropic elastic-plastic sea ice mechanics constitutive law. J. Geophys. Res., 103 (C10), 21 915-21 925.
5. Coon, M. D., R. Kwok, G. Levy, M. Pruis, H. Schreyer, and D. Sulsky, 2007: Arctic Ice Dynamics Joint Experiment (AIDJEX) assumptions revisited and found inadequate. J. Geophys. Res., 112, C11S90, doi:10.1029/2005JC003393.
6. Cowin, S. C., 1974: The theory of polar fluids. Adv. Appl. Mech., 14, 279-347, doi:10.1016/S0065-2156(08)70034-6.
7. Dempsey, J. P., R. M. Adamson, and S. V. Mulmule, 1999: Scale effects on the in-situ tensile strength and fracture of ice. Part II: First-year sea ice at Resolute, N.W.T. Int. J. Fract., 95 (1-4), 347-366, doi:10.1023/A:1018650303385.
8. Erlingsson, B., 1988: Two-dimensional deformation patterns in sea ice. J. Glaciol., 34, 301-308.
9. Feltham, D. L., 2008: Sea ice rheology. Annu. Rev. Fluid Mech., 40, 91-112, doi:10.1146/annurev.fluid.40.111406.102151.
10. Girard, L., S. Bouillon, J. Weiss, D. Amitrano, T. Fichefet, and V. Legat, 2011: A new modelling framework for sea-ice mechanics based on elasto-brittle rheology. Ann. Glaciol., 52, 123-132.
11. Hibler, W. D., III, 1979: A dynamic thermodynamic sea ice model. J. Phys. Oceanogr., 9, 815-846.
12. Hibler, W. D., 1980: Modeling a variable thickness sea ice cover. Mon. Wea. Rev., 108, 1943-1973.
13. Hibler, W. D., 2001: Modeling the formation and evolution of oriented fractures in sea ice. Ann. Glaciol., 33, 157-164, doi:10.3189/ 172756401781818680.
14. Hibler, W. D., and E. M. Schulson, 2000: On modeling the anisotropic failure and flow of flawed sea ice. J. Geophys. Res., 105 (C7), 17 105-17 120.
15. Hopkins, M. A., 1996: On the mesoscale interaction of lead ice and floes. J. Geophys. Res., 101 (C8), 18 315-18 326.
16. Hopkins, M. A., 1998: Four stages of pressure ridging. J. Geophys. Res., 103 (C10), 21 883-21 891.
17. Hopkins, M. A., and A. S. Thorndike, 2006: Floe formation in Arctic sea ice. J. Geophys. Res., 111, C11S23, doi:10.1029/2005JC003352.
18. Hopkins, M. A., S. Frankenstein, and A. S. Thorndike, 2004: Formation of an aggregate scale in Arctic sea ice. J. Geophys. Res., 109, C01032, doi:10.1029/2003JC001855.
19. Jaeger, J. C., and N. G. W. Cook, 1979: Elasticity and strength of rock. Fundamentals of Rock Mechanics, J. C. Jaeger and N. G. W. Cook, Eds., Chapman and Hall, 95-100.
20. Lewis, J. K., and J. A. Richter-Menge, 1998: Motion-induced stresses in pack ice. J. Geophys. Res., 103 (C10), 21 831-21 843.
21. Marko, J. R., and R. E. Thomson, 1977: Rectilinear leads and internal motions in the pack ice in the western Arctic Ocean. J. Geophys. Res., 82, 7787-7802.
22. Overland, J. E., and C. H. Pease, 1988: Modeling ice dynamics of coastal seas. J. Geophys. Res., 93 (C12), 15 619-15 637.
23. Perovich, D. K., and Coauthors, 1999: Year on ice gives climate insights. Eos, Trans. Amer. Geophys. Union, 80, 485-486.
24. Pritchard, R. S., 1988: Mathematical characteristics of sea ice dynamics models. J. Geophys. Res., 93 (C12), 15 609-15 618.
25. Richter-Menge, J. A., and K. F. Jones, 1993: The tensile stress of first-year sea ice. J. Glaciol., 39, 609-618.
26. Richter-Menge, J. A., S. L. McNutt, J. E. Overland, and R. Kwok, 2002: Relating Arctic pack ice stress and deformation under winter conditions. J. Geophys. Res., 107, 8040, doi:10.1029/2000JC000477.
27. Rothrock, D. A., 1975: The energetics of the plastic deformation of pack ice by ridging. J. Geophys. Res., 80, 4514-4519.
28. Schreyer, H. L., D. L. Sulsky, L. B. Munday, M. D. Coon, and R. Kwok, 2006: Elastic-decohesive constitutive model for sea ice. J. Geophys. Res., 111, C11S26, doi:10.1029/2005JC003334.
29. Schulson, E. M., 2001: Brittle failure of ice. Eng. Fract. Mech., 68 (17-18), 1839-1887, doi:10.1016/S0013-7944(01)00037-6.
30. Schulson, E. M., A. L. Fortt, D. Iliescu, and C. E. Renshaw, 2006: On the role of frictional sliding in the compressive fracture of ice andgranite: Terminal vs. post-terminal failure. Acta Mater., 54, 3923-3932, doi:10.1016/j.actamat.2006.04.024.
31. Shen, H. H., W. D. Hibler III, and M. Leppäranta, 1987: The role of floe collision in sea ice rheology. J. Geophys. Res., 92 (C7), 7085-7096.
32. Smith, R. B., 1983: A note on the constitutive law for sea ice. J. Glaciol., 29, 191-195.
33. Stern, H. L., and R. W. Lindsay, 2009: Spatial scaling of Arctic sea ice deformation. J. Geophys. Res., 114, C10017, doi:10.1029/ 2009JC005380.
34. Sulsky, D., and K. Paterson, 2011: Toward a new elastic-decohesive model of Arctic sea ice. Physica D, 240, 1674-1683, doi:10.1016/ j.physd.2011.07.005.
35. Taylor, P. D., D. L. Feltham, P. R. Sammonds, and D. Hatton, 2006: Continuum sea ice rheology determined from subcontinuum mechanics. J. Geophys. Res., 111, C11015, doi:10.1029/ 2005JC002996.
36. Thorndike, A. S., D. A. Rothrock, G. A. Maykut, and R. Colony, 1975: The thickness distribution of sea ice. J. Geophys. Res., 80, 4501-4513.
37. Tremblay, L. B., and L. A. Mysak, 1997: Modeling sea ice as a granular material, including the dilatancy effect. J. Phys. Oceanogr., 27, 2342-2360.
38. Walter, B. A., J. E. Overland, and P. Turet, 1995: A comparison of satellite-derived and aircraft-measured regional surface sensible heat fluxes over the Beaufort Sea. J. Geophys. Res., 100 (C3), 4585-4591.
39. Weiss, J., and E. M. Schulson, 2009: Coulombic faulting from the grain scale to the geophysical scale: lessons from ice. J. Phys.D Appl. Phys., 42, 214017, doi:10.1088/0022-3727/42/21/214017.
40. Weiss, J., E. M. Schulson, and H. L. Stern, 2007: Sea ice rheology from in-situ, satellite and laboratory observations: Fracture and friction. Earth Planet. Sci. Lett., 255 (1-2), 1-8, doi:10.016/j.epsl.2006.11.033.
41. Wilchinsky, A. V., and D. L. Feltham, 2004: A continuum anisotropic model of sea-ice dynamics. Proc. Roy. Soc. London, 460A, 2105-2140, doi:10.1098/rspa.2004.1282.
42. Wilchinsky, A. V., and D. L. Feltham, 2006a: Anisotropic model for granulated sea ice dynamics. J. Mech. Phys. Solids, 54, 1147-1185, doi:10.1016/ j.jmps.2005.12.006.
43. Wilchinsky, A. V., and D. L. Feltham, 2006b: Modelling the rheology of sea ice as a collection of diamond-shaped floes. J. Non-Newtonian Fluid Mech., 138, 22-32, doi:10.1016/j.jnnfm.2006.05.001.
44. Wilchinsky, A. V., and D. L. Feltham, 2011: Modeling Coulombic failure of sea ice with leads. J. Geophys. Res., 116, C08040, doi:10.1029/ 2011JC007071.
45. Wilchinsky, A. V., D. L. Feltham, and M. A. Hopkins, 2010: The effect of shear rupture on aggregate scale formation in sea ice. J. Geophys. Res., 115, C10002, doi:10.1029/2009JC006043.
46. Wilchinsky, A. V., D. L. Feltham, and M. A. Hopkins, 2011: Modelling the reorientation of seaice faults as the wind changes direction. Ann. Glaciol., 52, 83-90.