Long-term sea ice dynamics simulations using an elastic-plastic constitutive law

Journal of Geophysical Research: Oceans

Volumn 106, Issue C12, 2001, Pages 31333-31343

  Pritchard, Robert S ^a  

^a IceCasting Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL MODEL; SEA ICE; TEMPORAL VARIATION;

EID: 0035723025     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2000jc000638     Document Type: Article

References (31)

1. Colony, R., and R. S. Pritchard, Integration scheme for an elastic-plastic sea ice model, paper presented at 12th Annual Meeting of the Society of Engineering Science, Univ. of Tex. at Austin, Austin, 1975.
2. Coon, M. D., G. A. Maykut, R. S. Pritchard, D. A. Rothrock, and A. S. Thorndike, Modeling the pack ice as an elastic-plastic material, AIDJEX Bull., 1-105, 1974.
3. Coon, M. D., 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, 21,915-21,925, 1998.
4. Drucker, D. C., A definition of stable inelastic material, J. Appl. Mech., 26, 101-106, 1959.
5. Flato, G. M., and W. D. Hibler, III, Modeling pack ice as a cavitating fluid, J. Phys. Oceanogr., 22, 626-651, 1992.
6. Gray, J. M. N. T., Loss of hyperbolicity and ill-posedness of the viscous-plastic sea ice rheology in uniaxial divergent flow, J. Phys. Oceanogr., 29, 2920-2929, 1999.
7. Hibler, W. D., III, A dynamic thermodynamic sea ice model, J. Phys. Oceanogr., 9, 817-846, 1979.
8. Hibler, W. D., III, P. Heil, and V. I. Lytle, On simulating high-frequency variability in Antarctic sea-ice dynamics models, Ann. Glaciol., 27, 443-448, 1998.
9. Hunke, E. C., and J. K. Dukowicz, An elastic-viscous-plastic model for sea ice dynamics, J. Phys. Oceanogr., 27, 1849-1867, 1997.
10. Kelley, C. T., Iterative Methods for Linear and Nonlinear Equations, Soc. for Ind. and Appl. Math., Philadelphia, Pa., 1995.
11. Koiter, W. T., Stress-strain relations, uniqueness and variational theorems for elastic, plastic materials with a singular yield surface, Q. Appl. Math., 11, 350-354, 1953.
12. Kreyscher, M., M. Harder, P. Lemke, and G. Flato, Results of the sea ice model intercomparison project: Evaluation of sea ice rheology schemes for use in climate simulations, J. Geophys. Res., 105, 11,299-11,320, 2000.
13. McPhee, M. G., Ice ocean momentum transfer for the AIDJEX ice model, AIDJEX Bull., 29, 93-111, 1975.
14. McPhee, M. G., A simulation of inertial oscillations in drifting pack ice, Dyn. Atmos. Oceans, 2, 107-122, 1978.
15. Polyakov, I. V., and M. A. Johnson, Arctic decadal and interdecadal variability, Geophys. Res. Lett., 27, 4097-4100, 2000.
16. Polyakov, I., and S. Martin, Interaction of the Okhotsk Sea diurnal tides with the Kashevarov Bank polynya, J. Geophys. Res., 105, 3281-3294, 2000.
17. Polyakov, I. V., I. Y. Kulakov, S. E. Kolesov, N. E. Dmitriev, R. S. Pritchard, D. Driver, and A. K. Naumov, Coupled sea ice-ocean model of the Arctic Ocean, J. Offshore Mech. and Arctic Eng., 120, 77-84, 1998.
18. Polyakov, I. V., A. Y. Proshutinsky, and M. A. Johnson, Seasonal cycles in two regimes of Arctic climate, J. Geophys. Res., 104, 25,761-25,788, 1999.
19. Pritchard, R. S., An elastic-plastic constitutive law for sea ice, J. Appl. Mech., 42, 379-384, 1975.
20. Pritchard, R. S., Mechanical behavior of pack ice, in Mechanics of Structured Media, edited by A. P. S. Selvadurai, pp. 371-405, Elsevier Sci., New York, 1981.
21. Pritchard, R. S., Beaufort Sea ice motion, in The Alaskan Beaufort Sea, edited by P. Barnes, E. Reimnitz, and D. Schell, pp. 95-113, Academic, San Diego, Calif., 1984.
22. Pritchard, R. S., Mathematical characteristics of sea ice dynamics models, J. Geophys. Res., 93, 15,609-15,618, 1988.
23. Pritchard, R. S., Sea ice constitutive behavior and under-ice noise, in Natural Physical Sources of Underwater Sound, edited by B. Kerman, pp. 591-610, Kluwer Acad., Norwell, Mass., 1993.
24. Pritchard, R. S., Ice conditions in an anisotropic sea ice dynamics model, Int. J. Offshore Polar Eng., 8, 9-15, 1998.
25. Pritchard, R. S., and R. Colony, A difference scheme for the AIDJEX sea ice model, in Numerical Methods in Geomechanics, edited by C. S. Desai, pp. 1194-1209, Am. Soc. of Civ. Eng., Blacksburg, Va., 1976.
26. Pritchard, R. S., R. W. Reimer, and M. D. Coon, Ice flow through straits, paper presented at 5th Conference on Port and Ocean Engineering Under Arctic Conditions, Norw. Inst. of Technol., Trondheim, Norway, 1979.
27. Richtmyer, R. D., and K. W. Morton, Difference Methods for Initial Value Problems, Wiley-Interscience, New York, 1967.
28. Schreyer, H. L., Modeling failure initiation in sea ice based on loss of ellipticity, in IUTAM 2000, edited by J. P. Dempsey, Kluwer Acad., Norwell, Mass., 2000.
29. Steele, M., J. Zhang, D. Rothrock, and H. Stern, The force balance of sea ice in a numerical model of the Arctic, J. Geophys. Res., 102, 21,061-21,079, 1997.
30. Tremblay, L.-B., and L. A. Mysak, Modelling sea ice as a granular material, including the dilatancy effect, J. Phys. Oceanogr., 27, 2342-2360, 1997.
31. Zhang, J., and D. Rothrock, Modeling Arctic sea ice with an efficient plastic solution, J. Geophys. Res., 105, 3325-3338, 2000.