Abstract
A model for the anisotropic behaviour of polar ice and the evolution of its strain-induced anisotropy is presented. At the scale of the ice polycrystal, the ice fabric is described by a continuous Orientation Distribution Function (ODF), and the stress in each grain is assumed to be the same as the bulk stress (static model). Assuming a linear transversely isotropic behaviour of the ice single crystal, the constitutive law for an orthotropic polycrystal is obtained, as well as the analytical expression for the ODF which depends on three independent parameters only. Applications to the large-scale flow of an ideal ice-sheet are presented. Assuming a fixed geometry of the ice-sheet, the velocities and the fabrics corresponding to stationary plane-strain flow are obtained by solving a coupled problem.
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Gagliardini, O., Meyssonnier, J. (1999). Plane flow of an ice sheet exhibiting strain-induced anisotropy. In: Hutter, K., Wang, Y., Beer, H. (eds) Advances in Cold-Region Thermal Engineering and Sciences. Lecture Notes in Physics, vol 533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104181
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DOI: https://doi.org/10.1007/BFb0104181
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