Journal cover Journal topic
The Cryosphere An interactive open-access journal of the European Geosciences Union
doi:10.5194/tc-2016-272
© Author(s) 2016. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
05 Dec 2016
Review status
This discussion paper is under review for the journal The Cryosphere (TC).
Numerical homogenization of the viscoplastic behavior of snow based on X-ray tomography images
Antoine Wautier1,2,a,b,c, Christian Geindreau1, and Frédéric Flin2 1Université Grenoble Alpes, CNRS, G-INP, Laboratoire 3SR UMR5521, F-38000 Grenoble, France
2Météo-France – CNRS, CNRM-GAME UMR 3589, CEN, F-38400 Saint Martin d'Hères, France
anow at: AgroParisTech-ENGREF, 19 avenue du Maine, 75732 Paris, France
bnow at: Irstea UR RECOVER, 3275 Rte Cézanne, CS 40061, 13182 Aix-en-Provence Cedex 5, France
cnow at: Université Grenoble Alpes, Irstea, UR ETGR, 2 rue de la Papeterie-BP 76, F-38402 St-Martin-d'Hères, France
Abstract. The homogenization techniques recently developed for the numerical study of the elastic behavior of snow are adapted to its non-linear visco-plastic behavior. Based on the definition of kinematically uniform boundary conditions, homogenization problems are applied to 3D-images obtained by X-ray tomography, and the mechanical response of snow samples of different densities is explored. An original post-processing approach in terms of viscous dissipated powers is defined in order to formulate the macroscopic behavior of snow. Then, the ability of Abouaf models to account for snow visco-plastic behavior is shown and a homogenized constitutive equation is proposed based on a density parametrization. Finally, the mechanical responses of snow for classical laboratory tests are analyzed and compared with the proposed model.

Citation: Wautier, A., Geindreau, C., and Flin, F.: Numerical homogenization of the viscoplastic behavior of snow based on X-ray tomography images, The Cryosphere Discuss., doi:10.5194/tc-2016-272, in review, 2016.
Antoine Wautier et al.
Antoine Wautier et al.
Antoine Wautier et al.

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Short summary
The results shown in the present paper consists in predicting the overall viscous behavior of snow from the sole knowledge of the microstructure and the ice viscous behavior. This is done thanks to multi-scale modeling techniques and an original approach is used to handle the non linearity of the ice behavior. An application of the developed formulation can be found in the simulation of the densification of the snowpack in order to enhance avalanche risk forecasting.
The results shown in the present paper consists in predicting the overall viscous behavior of...
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