Abstract
Some theoretical ideas are developed concerning the dynamics of a drifting ice cover modelled by a four-phase two-dimensional continuous medium with elastic-plastic rheology under bulk and shearing deformations, including processes of hummocking and the formation of fractures [1]. Phase transition conditions are formulated in closed form, depending in general on eight functions that characterize the rheological properties of the sheet. New exact solutions are developed for the model equations, describing a diverging ice cover drifting in the field of an ocean eddy, the interaction of a diverging ice cover with surface waves, the plastic flow of a close pack ice cover under the influence of a localized sea current, and the collision of a close pack ice massif with a rigid, wedge-shaped wall.
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