The choice of constitutive relations for an ice cover |
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| Institution: | 1. Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, U.S.A.;2. Ocean Sciences Department, University of California, 1156 High Street, Santa Cruz, CA 96064, U.S.A.;1. The University Centre in Svalbard, Pb. 156, 9171 Longyearbyen, Norway;2. Sustainable Arctic Marine and Coastal Technology (SAMCoT), Centre for Research-based Innovations (CRI), Norwegian University of Science and Technology, Høyskoleringen 7a, 7491 Trondheim, Norway;3. Norwegian University of Science and Technology, Høyskoleringen 7a, 7491 Trondheim, Norway |
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| Abstract: | The constitutive relations between the internal stresses and the deformation parameters of a sea ice cover, which are used in the AIDJEX elastoplastic model and Hibler's non-linearly viscous model, are investigated. It is shown that the structural instability of the ice cover with respect to plastic shear deformations is a consequence of the associated flow rule used in these models. The use of constitutive relations which violate the associated flow rule, but which are in good agreement with the physical properties of granular media, is suggested. An ice cover damage parameter and an empirical equation which describes the change in this parameter are introduced into the treatment. Energy relations are investigated. |
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