Numerical homogenization of the viscoplastic behavior of snow based on X-ray tomography images

Antoine Wautier, Christian Geindreau, Frédéric Flin
2016 The Cryosphere Discussions  
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
more » ... 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.
doi:10.5194/tc-2016-272 fatcat:cimbh6auknf75e4mox7db5afyy