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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