Abstract
An elastic-plastic sea ice dynamics constitutive model is reviewed. Much of the model was developed earlier, but a new ‘ice cream cone’ yield surface is introduced here, and stability of the model is examined. A nonassociated flow rule is discussed. Material strength is estimated by equating the work done by large-scale stresses during deformation to small-scale sinks: gravitational potential energy and frictional sliding of ice into pressure ridges, and shear ridging. The elastic-plastic model can simulate observed ice behavior averaged over tens of kilometers and a day. These scales suggest that the variables might be candidates for describing low-frequency noise generated by the ice cover. Probability density functions, such as the thickness distribution, are discussed and offered as candidates for describing local random behavior on scales smaller than the large-scale model can resolve.
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References
Bugden, G. L (1979) ‘The Deformation of Pack Ice by Ridging,’ J. Geophys. Res., Vol. 84, No. C4, 1793–1796.
Coon, M. D., and Pritchard, R. S. (1974) ‘Application of an Elastic-Plastic Model of Arctic Pack Ice,’ in The Coast and Shelf of the Beaufort Sea, J. C. Reed and J. E. Sater (eds.), The Arctic Institute of North America, Arlington, VA, 173–193.
Coon, M. D., Maykut, G. A., Pritchard, R. S., Rothrock, D. A., and Thorndike, A. S. (1974) ‘Modeling the Pack Ice as an Elastic-Plastic Material,’ in AIDJEX Bulletin No. 24, University of Washington, Seattle, WA, 1–105.
Coon, M. D., Hall, R. T., and Pritchard, R. S. (1977) ‘Prediction of Arctic Ice Conditions for Operations,’ in Offshore Tech. Conf. Proa, Vol. IV, Houston, TX, 307–314.
Drucker, D. C. (1951) ‘A More Fundamental Approach to Plastic Stress-Strain Relations,’ in Proc. 1st U. S. Nat’l Congr. Appl. Mech., ASME, New York, 487–491.
Fily, M., and Rothrock, D. A. (1990) ‘Opening and Closing of Sea Ice Leads: Digital Measurements from Synthetic Aperture Radar,’ J. Geophys. Res., Vol. 95, No. C1, 789–796.
Hibler, W. D. III (1980) ‘Modeling a Variable Thickness Sea Ice Cover,’ Mon. Wea. Rev., Vol. 108, 1943–1973.
Hibler, W. D. III (1986) ‘Ice Dynamics,’ in The Geophysics of Sea Ice, N. Untersteiner (ed.), Plenum Press, New York, 577–640.
Kollé, J. J., and Pritchard, R. S. (1983) ‘A Comparison of Two Sea Ice Trajectory Models with AIDJEX Observations,’ J. Energy Resources Tech., Vol. 105, No. 3, 346–351.
Malvern, L. E. (1969) Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs.
Marco, J. R., and Thompson, R. E. (1977) ‘Rectilinear Leads and Internal Motion in the Ice Pack of the Western Arctic Ocean,’ J. Geophys. Res., Vol. 82, 979–987.
McPhee, M. G. (1982) ‘Sea Ice Drag Laws and Simple Boundary Layer Concepts, Including Application to Rapid Melting,’ CRREL Report 82–4, Cold Regions Research and Engineering Laboratory, Hanover, NH.
Parmerter, R. R., and Coon, M. D. (1972) ‘Model of Pressure Ridge formation in Sea Ice,’ J. Geophys. Res., Vol. 77, No. 33, 6565–6575.
Pritchard, R. S. (1975) ‘An Elastic-Plastic Constitutive Law for Sea Ice,’ Transactions of the ASME, Vol. 97, J. Appl. Mech., Vol. 42, Series E, No. 2, 379–384.
Pritchard, R. S. (1976) ‘An Estimate of the Strength of Arctic Pack Ice,’ in AIDJEX Bulletin No. 34, University of Washington, Seattle, WA, 94–113.
Pritchard, R. S. (1977) ‘The Effect of Strength on Simulations of Sea Ice Dynamics,’ in Proc. POAC77, D. B. Muggeridge (ed.), Memorial University of Newfoundland, St. Johns, Newfoundland, 494–505.
Pritchard, R. S. (1980) ‘A Simulation of Near Shore Winter Ice Dynamics in the Beaufort Sea,’ in Sea Ice Processes and Models, R. S. Pritchard (ed.), University of Washington Press, Seattle, WA, 49–61.
Pritchard, R. S. (1981) ‘Mechanical Behavior of Pack Ice,’ in Mechanics of Structured Media, Part A, A. P. S. Selvadurai (ed.), Elsevier, Amsterdam, 371–405.
Pritchard, R. S. (1984) ‘Arctic Ocean Background Noise Caused by Ridging of Sea Ice,’ J. Acoust. Soc. Am., Vol. 75, No. 2, 419–427.
Pritchard, R. S. (1988) ‘Mathematical Characteristics of Sea Ice Dynamics Models,’ J. Geophys. Res., Vol. 93, No. C12, 15609–15618.
Pritchard, R. S. (1990) ‘Sea Ice Noise-Generating Processes,’ J. Acoust. Soc. Am., Vol. 88, No. 6, 2830–2842.
Pritchard, R. S., Reimer, R. W., and Coon, M. D. (1979) ‘Iee Flow through Straits,’ in Proc. POAC79, Vol. 3, Trondheim, Norway, 61–74.
Pritchard, R. S., Mueller, A. C, Hanzlick, D. J., and Yang, Y.- S. (1990) ‘Forecasting Ice Edge Motion in the Bering Sea,’ J. Geophys. Res., Vol. 95, No. 1, 775–788
Rothrock, D. A. (1975) ‘The Energetics of the Plastic Deformation of Pack Ice by Ridging,’ J. Geophys. Res., Vol. 80, No. 33, 4514–4519.
Rothrock, D. A. (1979) ‘Modeling Sea-Ice Features and Processes,’ J. Glaciol., Vol. 24, No. 90, 359–375.
Rothrock, D. A., and Hall, R. T. (1975) ‘Testing the Redistribution of Sea Ice Thickness from ERTS Photographs,’ AIDJEX Bulletin No. 29, University of Washington, Seattle, 1–19.
Shapiro, L. H., and Burns, J. J. (1975) ‘Satellite Observations of Sea Ice Movement in the Bering Strait Region,’ in Climate of the Arctic, G. Weiler and S. A Bowling (eds.), The Geophysical Institute, University of Alaska, Fairbanks, 379–386.
Sodhi, D. S. (1977) ‘Ice Arching and the Drift of Pack Ice through Restricted Channels,’ CRREL Report No. 77–18, Cold Regions Research and Engineering Laboratory, Hanover.
Thorndike, A. S., and Colony, R. (1977) ‘Estimating the Deformation of Sea Ice,’ in Proc. POAC77, D. B. Muggeridge (ed.), Memorial University of Newfoundland, St. John’s, Newfoundland, 506–517.
Thorndike, A. S., and Colony, R. (1982) ‘Sea Ice Motion in Response to Geostrophic Winds,’ J. Geophys. Res., Vol. 87, No. C8, 5845–5852.
Thorndike, A. S., Rothrock, D. A, Maykut, G. A., and Colony, R. (1975) ‘The Thickness Distribution of Sea Ice,’ J. Geophys. Res., Vol. 80, No. 33, 4501–4513.
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© 1993 Springer Science+Business Media Dordrecht
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Pritchard, R.S. (1993). Sea Ice Constitutive Behavior and Under-Ice Noise. In: Kerman, B.R. (eds) Natural Physical Sources of Underwater Sound. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1626-8_44
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DOI: https://doi.org/10.1007/978-94-011-1626-8_44
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