Continuum Mechanics and Thermodynamics

, Volume 22, Issue 3, pp 221–237

Continuum-mechanical, Anisotropic Flow model for polar ice masses, based on an anisotropic Flow Enhancement factor

  • Luca Placidi
  • Ralf Greve
  • Hakime Seddik
  • Sérgio H. Faria
Open Access
Original Article

DOI: 10.1007/s00161-009-0126-0

Cite this article as:
Placidi, L., Greve, R., Seddik, H. et al. Continuum Mech. Thermodyn. (2010) 22: 221. doi:10.1007/s00161-009-0126-0


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 enhancement 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, rotation 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.


Continuum mechanics Anisotropy Ice Mixtures Recrystallization 
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Copyright information

© The Author(s) 2009

Authors and Affiliations

  • Luca Placidi
    • 1
    • 2
  • Ralf Greve
    • 3
  • Hakime Seddik
    • 3
  • Sérgio H. Faria
    • 4
  1. 1.Department of Structural and Geotechnical Engineering“Sapienza”, University of RomeRomeItaly
  2. 2.Smart Materials and Structures LaboratoryCisterna di LatinaItaly
  3. 3.Institute of Low Temperature ScienceHokkaido UniversitySapporoJapan
  4. 4.GZG, Department of CrystallographyUniversity of GöttingenGöttingenGermany

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