Microstructure-based modeling of snow mechanics: a discrete element approach

Abstract. Rapid and large deformations of snow are mainly controlled by grain rearrangements, which occur through the failure of cohesive bonds and the creation of new contacts. We exploit a granular description of snow to develop a discrete element model based on the full 3-D microstructure captured by microtomography. The model assumes that snow is composed of rigid grains interacting through localized contacts accounting for cohesion and friction. The geometry of the grains and of the intergranular bonding system are explicitly defined from microtomographic data using geometrical criteria based on curvature and contiguity. Single grains are represented as rigid clumps of spheres. The model is applied to different snow samples subjected to confined compression tests. A detailed sensitivity analysis shows that artifacts introduced by the modeling approach and the influence of numerical parameters are limited compared to variations due to the geometry of the microstructure. The model shows that the compression behavior of snow is mainly controlled by the density of the samples, but that deviations from a pure density parameterization are not insignificant during the first phase of deformation. In particular, the model correctly predicts that, for a given density, faceted crystals are less resistant to compression than rounded grains or decomposed snow. For larger compression strains, no clear differences between snow types are observed.

[1]  M. Naaim,et al.  Characterization of the snow microstructural bonding system through the minimum cut density , 2014 .

[2]  Mark Michael,et al.  A Discrete Approach to Describe the Kinematics between Snow and a Tire Tread , 2014 .

[3]  H. Löwe,et al.  Hot-pressure sintering of low-density snow analyzed by X-ray microtomography and in situ microcompression , 2014 .

[4]  M. Naaim,et al.  Snow as a granular material: assessment of a new grain segmentation algorithm , 2014 .

[5]  P. K. Srivastava,et al.  Micromechanical analysis of deformation of snow using X-ray tomography , 2014 .

[6]  G. Lodewijks,et al.  DEM speedup: Stiffness effects on behavior of bulk material , 2014 .

[7]  M. Schneebeli,et al.  Numerical simulation of microstructural damage and tensile strength of snow , 2014 .

[8]  M. Schneebeli,et al.  Three-dimensional microstructure and numerical calculation of elastic properties of alpine snow with a focus on weak layers , 2014 .

[9]  I. Baker,et al.  Observation of the microstructural evolution of snow under uniaxial compression using X‐ray computed microtomography , 2013 .

[10]  M. Naaim,et al.  Energy-based binary segmentation of snow microtomographic images , 2013, Journal of Glaciology.

[11]  S. Morin,et al.  Numerical and experimental investigations of the effective thermal conductivity of snow , 2011 .

[12]  S. R. D. Roscoat,et al.  On the Computations of Specific Surface Area and Specific Grain Contact Area from Snow 3 D Images , 2011 .

[13]  Farhang Radjai,et al.  Discrete-element modeling of granular materials , 2011 .

[14]  Glenn R. McDowell,et al.  A method to model realistic particle shape and inertia in DEM , 2010 .

[15]  Paul W. Cleary,et al.  DEM prediction of industrial and geophysical particle flows , 2010 .

[16]  P. K. Srivastava,et al.  Observation of temperature gradient metamorphism in snow by X-ray computed microtomography: measurement of microstructure parameters and simulation of linear elastic properties , 2010, Annals of Glaciology.

[17]  D. Kadau,et al.  Simulating isothermal aging of snow , 2010, 2007.15379.

[18]  Yusin Lee,et al.  A packing algorithm for three-dimensional convex particles , 2009 .

[19]  Kentaro Uesugi,et al.  3D Shape Characterization and Image-Based DEM Simulation of the Lunar Soil Simulant FJS-1 , 2009 .

[20]  Malcolm Mellor,et al.  A review of basic snow mechanics , 2007 .

[21]  Mark A. Hopkins,et al.  Identifying microstructural deformation mechanisms in snow using discrete-element modeling , 2005, Journal of Glaciology.

[22]  Sergey A. Sokratov,et al.  Tomography of temperature gradient metamorphism of snow and associated changes in heat conductivity , 2004 .

[23]  François Nicot,et al.  Constitutive modelling of snow as a cohesive-granular material , 2004 .

[24]  Cécile Coléou,et al.  Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions , 2004, Annals of Glaciology.

[25]  M. Schneebeli Numerical simulation of elastic stress in the microstructure of snow , 2004, Annals of Glaciology.

[26]  J. Schweizer,et al.  Snow avalanche formation , 2003 .

[27]  J. Petrovic Review Mechanical properties of ice and snow , 2003 .

[28]  Cécile Coléou,et al.  Three-dimensional snow images by X-ray microtomography , 2001, Annals of Glaciology.

[29]  Martin Schneebeli,et al.  A constant-speed penetrometer for high-resolution snow stratigraphy , 1998, Annals of Glaciology.

[30]  George L. Blaisdell,et al.  Snow Mechanics: Review of the State of Knowledge and Applications, , 1997 .

[31]  M. Q. Edens,et al.  Measurement of Microstructure of Snow from Surface Sections , 1995 .

[32]  P. Mahajan,et al.  A microstructure-based constitutive law for snow , 1993, Annals of Glaciology.

[33]  Raymond A. Serway,et al.  Physics for scientists & engineers , 1990 .

[34]  J. Jamieson,et al.  In-Situ Tensile Tests of Snow-Pack Layers , 1990, Journal of Glaciology.

[35]  Ice The international classification for seasonal snow on the ground , 1990 .

[36]  R. L. Brown,et al.  An internal state variable approach to constitutive theories for granular materials with snow as an example , 1988 .

[37]  Richard B. Alley,et al.  Three-Dimensional Coordination Number from Two-Dimensional Measurements: A New Method , 1986, Journal of Glaciology.

[38]  R. L. Brown,et al.  The Granular Structure of Snow: An Internal-State Variable Approach , 1986, Journal of Glaciology.

[39]  Hideki Narita,et al.  An Experimental Study on Tensile Fracture of Snow , 1984 .

[40]  B. Salm,et al.  Mechanical properties of snow , 1982 .

[41]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[42]  R. Yong,et al.  Performance of snow in confined compression , 1977 .

[43]  P. R. Kry Quantitative Stereological Analysis of Grain Bonds in Snow , 1975, Journal of Glaciology.

[44]  C. Keeler The Growth of Bonds and the Increase of Mechanical Strength in a Dry Seasonal Snow-Pack , 1969, Journal of Glaciology.

[45]  W. Weeks,et al.  Investigations Into the Mechanical Properties of Alpine Snow-Packs , 1968, Journal of Glaciology.

[46]  W. J. Humphreys Snow Crystals , 1962 .

[47]  Ukichiro Nakaya,et al.  Snow Crystals , 2014 .

[48]  Brissaud,et al.  3 D VISUALIZATION OF SNOW SAMPLES BY MICROTOMOGRAPHY AT LOW TEMPERATURE , 2022 .