Abstract
Abstract. While the homogenization of snow elastic properties has been widely reported in the literature, homogeneous rate-dependent behavior responsible for the densification of the snowpack has hardly ever been upscaled from snow microstructure. We therefore adapt homogenization techniques developed within the framework of elasticity to the study of snow viscoplastic behavior. Based on the definition of kinematically uniform boundary conditions, homogenization problems are applied to 3-D images obtained from X-ray tomography, and the mechanical response of snow samples is explored for several densities. We propose an original post-processing approach in terms of viscous dissipated powers in order to formulate snow macroscopic behavior. Then, we show that Abouaf models are able to capture snow viscoplastic behavior and we formulate a homogenized constitutive equation based on a density parametrization. Eventually, we demonstrate the ability of the proposed models to account for the macroscopic mechanical response of snow for classical laboratory tests.
Subject
Earth-Surface Processes,Water Science and Technology
Reference71 articles.
1. Abouaf, M.: Modélisation de la compaction de poudres métalliques frittées, PhD thesis, USMG-INP, Grenoble, France, 1985.
2. Abouaf, M. and Chenot, J.: Finite element simulation of hot isostatic pressing of metal powders, Int. J. Numer. Meth. Eng., 25, 191–212, 1988.
3. Adams, E. E. and Walters, D. J.: Fine structure layering in radiation recrystallized snow, in: International Snow Science Workshop 2014 Proceedings, 29 September–3 October 2014, Banff, Canada, 29–34, ISSW, 2014.
4. Auriault, J.-L., Bouvard, D., Dellis, C., and Lafer, M.: Modeling of hot compaction of metal powder by homogenization, Mech. Mater., 13, 247–275, 1992.
5. Auriault, J.-L., Royer, P., and Geindreau, C.: Filtration law for power law fluids in anisotropic media, Int. J. Eng. Sci., 40, 1151–1163, 2002.
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献