Continuum-mechanical, Anisotropic Flow model for polar ice masses, based on an anisotropic Flow Enhancement factor Luca Placidi ∗ Department of Structural and Geotechnical Engineering, “Sapienza”, University of Rome, Via Eudossiana 18, I-00184 Rome, Italy Smart Materials and Structures Laboratory, c/o Fondazione “Tullio Levi-Civita”, Palazzo Caetani (Ala Nord), I-04012 Cisterna di Latina, Italy Ralf Greve Hakime Seddik Institute of Low Temperature Science, Hokkaido University, Kita-19, Nishi-8, Kita-ku, Sapporo 060-0819, Japan S ´ ergio H. Faria GZG, Department of Crystallography, University of G¨ottingen, Goldschmidtstraße 1, D-37077 G¨ottingen, Germany Abstract Cont. Mech. Thermodyn. 22 (3), 221–237 (2010). doi: 10.1007/s00161-009-0126-0 Authors’ version; original publication available at www.springerlink.com A complete theoretical presentation of the Continuum-mechanical, Anisotropic Flow model, based on an anisotropic Flow Enhancement factor (CAFFE model) is given. The CAFFE model is an application of the theory of mixtures with continuous diversity for the case of large polar ice masses in which induced anisotropy occurs. The anisotropic response of the polycrystalline ice is described by a generalization of Glen’s flow law, based on a scalar anisotropic enhancement factor. The enhance- ment factor depends on the orientation mass density, which is closely related to the orientation distribution function and describes the distribution of grain orientations (fabric). Fabric evolution is governed by the orientation mass balance, which depends on four distinct effects, interpreted as local rigid body rotation, grain rotation, ro- tation recrystallization (polygonization) and grain boundary migration (migration recrystallization), respectively. It is proven that the flow law of the CAFFE model is truly anisotropic despite the collinearity between the stress deviator and stretching tensors. * E-mail: luca.placidi@uniroma1.it 1 arXiv:0903.0688v5 [physics.geo-ph] 19 Mar 2010