journal article·2021-01

Application of dynamic fracture mechanics to dry snow slab avalanche release

D. M. McClung

International Journal of Fracture· Volume 227· Issue 1
Publisher page

Abstract

Field observations and measurements show that dry snow slab avalanches initiate by propagating shear fractures within a relatively thin weak layer sandwiched between a planar, stronger, thicker slab above and stronger material below. After initiation, the weak layer fracture can propagate up and down slope for distances which range from about 10 to 100′s of meters to cause tensile fracture through the body of the slab which results in avalanche release. In this paper, dynamic fracture mechanics is applied to slab tensile fracture after which avalanche release is imminent. Two mechanisms for production of tensile stress are explored employing field measurements of slab properties and lab measurements. The first considers inertial effects related to quasi-brittle fracture near the tip of a propagating weak layer shear fracture. The second is concerned with the tensile stress generation from the stress drop behind the crack front as the fracture propagates in the weak layer. Analysis suggest that both mechanisms can contribute to produce the tensile fracture line which precedes avalanche release. Even though both mechanisms may operate together, they are analyzed separately in this paper.
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Research context

OpenAlex topics: Cryospheric studies and observations · Landslides and related hazards · Climate change and permafrost

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References (67)

Show source-provided references
1. Armstrong RL, Ives JD (1976) Avalanche release and snow characteristics, San Juan Mountains, Colorado, Occasional Paper 19. INSTAAR, University of Colorado
2. Bader H, Kuriowa D (1962) The physics and mechanics of snow as a material. Technical Report II-B. CRREL, Hanover
3. Barenblatt GI (1962) Mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 7:55–12910.1016/S0065-2156(08)70121-2 ↗
4. Bažant ZP (2005) Scaling of structural strength, 2nd edn. Elsevier, Amsterdam
5. Bažant ZP, Planas J (1998) Fracture and size effect in concrete and other quasibrittle materials. CRC Press, Boca Raton
6. Bažant ZP, Zi G, McClung DM (2003) Size effect law and fracture mechanics of the triggering of dry snow slab avalanches. J Geophys Res 108(B2):2119. https://doi.org/10.1029/2002JB10.1029/2002JB ↗
7. Borstad CP (2011) Tensile strength and fracture mechanics of cohesive dry snow related to slab avalanches. PhD Thesis, University of British Columbia
8. Broberg KB (1999) Cracks and fracture. Academic, London
9. Brown CB, Evans RJ, LaChapelle ER (1972) Slab avalanching and the state of stress in fallen snow. J Geophys Res 77(24):4570–458010.1029/JC077i024p04570 ↗
10. Burridge R, Knopoff L (1967) Model and theoretical seismicity. Bull Seismol Soc Am 57(3):341–37110.1785/BSSA0570030341 ↗
11. Camponovo C, Schweizer J (2001) Rheological measurements of the viscoelastic properties of snow. Ann Glaciol 32:44–5010.3189/172756401781819148 ↗
12. Fierz C, Armstrong RL, Durand Y, Etdhevers P, McClung DM, Nishimura K, Satyawali PK, Sokratov SA (2009) The international classification for seasonal snow on the ground. IHP-VII Technical Documents in Hydrology, IACS Contribution No. 1. UNESCO-IHP, Paris
13. Flűgge W (1975) Viscoelasticity, 2nd edn. Springer, New York10.1007/978-3-662-02276-4 ↗
14. Freund LB (1973) Crack propagation in an elastic solid subjected to general loading. III. Stress wave loading. J Mech Phys Solids 21:47–6110.1016/0022-5096(73)90029-X ↗
15. Freund LB (1990) Dynamic fracture mechanics. Cambridge University Press, Cambridge10.1017/CBO9780511546761 ↗
16. Fung YC (1965) Foundations of solid mechanics. Prentice-Hall, Englewood Cliffs
17. Gaume J, van Herwijnen A, Chambon G, Birkeland KW, Schweizer J (2015) Modeling of crack propagation in weak snowpack layers using the discrete element method. Cryosphere 9:1915–1932. https://doi.org/10.5194/tc-9-1915-201510.5194/tc-9-1915-2015 ↗
18. Gaume J, Gast T, Teran J, van Herwijnen A, Jiang C (2018) Dynamic anticrack propagation in snow. Nat Commun 9:304710.1038/s41467-018-05181-w ↗
19. Gaume J, van Herwijnen A, Gast T, Teran J, Jiang C (2019) Investigating the release and flow of snow avalanches at the slope-scale using a unified model based on the material point method. Cold Reg Sci Technol. https://doi.org/10.1016//j.coldregions.2019.10284710.1016//j.coldregions.2019.102847 ↗
20. Gauthier, D (2007) A practical field test for propagation and arrest in weak snowpack layers in relation to slab avalanche release. PhD Thesis, University of Calgary, Alberta
21. Gauthier D, Jamieson JB (2008) Evaluation of a prototype field test for fracture and failure propagation in weak snowpack layers. Cold Reg Sci Technol 51(2–3):87–97. https://doi.org/10.1016/j.coldregions.2007.04.00510.1016/j.coldregions.2007.04.005 ↗
22. Hamre D, Simenhois R, Birkeland KW (2014) Fracture speeds of triggered avalanches. In: Proceedings of the international snow science workshop, Banff, AB, Canada, pp 174–178
23. Heaton TH (1990) Evidence for and implications for self-healing pulses of slip in earthquake rupture. Phys Earth Planet Inter 64:1–2010.1016/0031-9201(90)90002-F ↗
24. Heierli J, Gumbsch P, Zaiser M (2008) Anticrack nucleation as triggering mechanism for snow slab avalanches. Science 321(5886):240–243. https://doi.org/10.1126/science3.115394810.1126/science3.1153948 ↗
25. Jamieson JB, Johnston CD (1990) In situ tensile tests of snow-pack layers. J Glaciol 36(122):102–10610.1017/S002214300000561X ↗
26. Jamieson JB, Johnston CD (1992) A fracture-arrest model for unconfined dry slab avalanches. Can Geotech J 29:61–6610.1139/t92-007 ↗
27. Kostrov BV (1975) On the crack propagation with variable velocity. Int J Fract 11(1):47–5610.1007/BF00034712 ↗
28. Lang TE, Brown RL (1975) Stress concentration in sloping snowpack from geometric imperfections. IAHS-AISH Publication 114, pp 311–320
29. Malvern LE (1969) Introduction to the mechanics of a continuous medium. Prentice-Hall, Inc., Upper Saddle River
30. McClung DM (1974) Avalanche defense mechanics. PhD Thesis, University of Wash, Seattle
31. McClung DM (1977) Direct simple shear tests on snow and their relation to slab avalanche formation. J Glaciol 19(81):101–10910.3189/S0022143000215578 ↗
32. McClung DM (1981) Fracture mechanical models of dry slab avalanche release. J Geophys Res 86(B11):10783–1079010.1029/JB086iB11p10783 ↗
33. McClung DM (1987) Mechanics of snow slab failure from a geotechnical perspective. In: Avalanche formation, movement and effects. IAHS Publication 162, pp 475–508
34. McClung DM (2005) Approximate estimates of fracture speeds for dry slab avalanches. Geophys Res Lett 32:L08406. https://doi.org/10.1029/2005GL02239110.1029/2005GL022391 ↗
35. McClung DM (2009) Dimensions of dry snow slab avalanches from field measurements. J Geophys Res Earth Surf 110(F4):F04008
36. McClung DM (2013) Effects of triggering mechanism on avalanche slope angles and slab depths from field data. Nat Hazards 69:1721–173110.1007/s11069-013-0771-2 ↗
37. McClung DM (2015) Mode II fracture parameters of dry snow slab avalanche weak layers calculated from the cohesive crack model. Int J Fract 193:153–169. https://doi.org/10.1007/s10704-015-0026-110.1007/s10704-015-0026-1 ↗
38. McClung D, Schaerer P (2006) The avalanche handbook, 3rd edn. The Mountaineers, Seattle
39. McClung DM, Borstad CP (2012) Deformation and energy of dry snow slabs prior to propagation. J Glaciol 58(209):553–564. https://doi.org/10.3189/2012JoGG11J00910.3189/2012JoGG11J009 ↗
40. McClung DM, Borstad CP (2019) Probabilistic size effect law for mode II fracture of critical lengths in snow slab avalanche weak layers. J Glaciol 65(249):157–167. https://doi.org/10.1017/jog.2018.8810.1017/jog.2018.88 ↗
41. McClung DM, Schweizer J (2006) Fracture toughness of dry snow slab avalanches from field measurements. J Geophys Res Earth Surf 111:F04008. https://doi.org/10.1029/2005JF00040310.1029/2005JF000403 ↗
42. Mellor M (1968) Avalanches. Technical Report III_A3d. CRREL, Hanover
43. Mellor M (1975) A review of basic snow mechanics. IASH Publication 114, pp 251–291
44. Palmer AC, Rice JR (1973) The growth of slip surfaces in the progressive failure of over-consolidated clay. Proc R Soc A 332:527–548
45. Perla RI (1971) The slab avalanche. PhD Thesis, University of Utah, Salt Lake City
46. Perla RI (1975) Stress and fracture of snow slabs. IAHS-AISH Publication 114, pp 208–221
47. Perla R (1977) Slab avalanche measurements. Can Geotech J 14:206–21310.1139/t77-021 ↗
48. Perla R, LaChapelle ER (1970) A theory of snow slab failure. J Geophys Res 75(36):7619–762710.1029/JC075i036p07619 ↗
49. Ravi-Chandar K (2004) Dynamic fracture. Elsevier, Amsterdam
50. Reiweger I, Schweizer J (2010) Failure of a layer of buried surface hoar. Geophys Res Lett 37(24):L24501. https://doi.org/10.1029/2010GL0453310.1029/2010GL04533 ↗
51. Reiweger I, Schweizer J (2013) Weak layer failure: facets and depth hoar. Cryosphere 7(5):1447–1453. https://doi.org/10.5194/tc-7-1447-201310.5194/tc-7-1447-2013 ↗
52. Roch A (1966) Les déclenchements d’avalanches. In: AIHS Publication 69, international symposium on scientific aspects of snow and ice avalanches, 5–10 April 1965, pp 182–198
53. Rice JR (1968) Chapter 3: mathematical analysis in the mechanics of fracture. In: Liebowitz H (ed) Fracture: an advanced treatise, vol II. Academic, New York, pp 191–311
54. Rice JR (1980) The mechanics of earthquake rupture. In: Dziewonski AM, Boschi E (eds) Proceedings of the International School of Physics <> Course LXXVIII, Lake Como, Italy. Physics of the earth’s interior. North-Holland Publishing Company Amsterdam, pp 555–649.
55. Rice JR, Sammis GC, Parsons R (2005) Off-fault secondary failure induced by a dynamic slip pulse. Bull Seismol Soc Am 95(1):109–134. https://doi.org/10.1785/012003016610.1785/0120030166 ↗
56. Rosakis AJ, Samudrala O, Coker D (1999) Cracks faster than the shear wave speed. Science 284:1337–134010.1126/science.284.5418.1337 ↗
57. Rousseau CE, Rosakis AJ (2003) On the influence of fault bends on the growth of sub-Rayleigh and intersonic shear ruptures. J Geophys Res 208(B9):2411. https://doi.org/10.1029/2002JB00231010.1029/2002JB002310 ↗
58. Scapozza C (2004) Entwicklung eines dichte- und temperaturabhängigen Stoffgetsetzes zur Beschreibung des visko -elastichen Verhaltens von Schnee. PhD Thesis, ETH, Zürich
59. Schofield A, Wroth P (1968) Critical state soil mechanics. McGraw-Hill Book Company, New York
60. Schweizer J (1998) Laboratory experiments on shear failure of snow. Ann Glaciol 26:97–10210.1017/S0260305500014634 ↗
61. Schweizer J, Jamieson JB, Schneebeli M (2003) Snow avalanche formation. Rev Geophys 41(4):1016. https://doi.org/10.1029/2002RG00012310.1029/2002RG000123 ↗
62. Sigrist C (2006) Measurement of fracture mechanical properties of snow and application to dry snow slab avalanche release. ETH No. 16736. PhD Thesis, Swiss Federal Institute of Technology, Zűrich
63. Shinojima K (1967) Study on the visco-elastic deformation of deposited snow in Physics of Snow and Ice. In: Ōura H (ed) International conference on low temperature science, vol 1, Part 2, pp 875–907
64. Tada H, Paris PC, Irwin GR (2000) The stress analysis of cracks handbook. ASME Press, New York10.1115/1.801535 ↗
65. Sih GC, Liebowitz H (1968) Chapter 2: mathematical theories of brittle fracture. In: Liebowitz H (ed) Fracture: an advanced treatise, vol II. Academic, New York, pp 67–190
66. van Herwijnen A, Heierli J (2009) Measurement of crack-face friction in collapsed weak snow layers. Geophys Res Lett 36(23):L23502. https://doi.org/10.1029/2009GL04038910.1029/2009GL040389 ↗
67. Xia KW, Rosakis AJ, Kanamori H (2004) Laboratory earthquakes: the sub-Rayleigh-to-supershear rupture transition. Science 303:1859–186110.1126/science.1094022 ↗