Skip to main content
Log in

The energy release rate of mode II fractures in layered snow samples

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Before a dry snow slab avalanche is released, a shear failure along a weak layer or an interface has to take place. This shear failure disconnects the overlaying slab from the weak layer. A better understanding of this fracture mechanical process, which is a key process in slab avalanche release, is essential for more accurate snow slope stability models. The purpose of this work was to design and to test an experimental set-up for a mode II fracture test with layered snow samples and to find a method to evaluate the interfacial fracture toughness or alternatively the energy release rate in mode II. Beam-shaped specimens were cut out of the layered snow cover, so that they consisted of two homogeneous snow layers separated by a well defined interface. In the cold laboratory 27 specimens were tested using a simple cantilever beam test. The test method proved to be applicable in the laboratory, although the handling of layered samples was delicate. An energy release rate for snow in mode II was calculated numerically with a finite element (FE) model and analytically using an approach for a deeply cracked cantilever beam. An analytical bilayer approach was not suitable. The critical energy release rate G c was found to be 0.04 ± 0.02 J m−2. It was primarily a material property of the weak layer and did not depend on the elastic properties of the two adjacent snow layers. The mixed mode interfacial fracture toughness for a shear fracture along a weak layer estimated from the critical energy release rate was substantially lower than the mode I fracture toughness found for snow of similar density.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • T.L. Anderson (1995) Fracture Mechanics: Fundamentals and Applications CRC Press Boca Raton, U.S.A. 688 Occurrence Handle0999.74001

    MATH  Google Scholar 

  • C. Camponovo J. Schweizer (2001) ArticleTitleRheological measurements of the viscoelastic properties of snow Annals of Glaciology 32 44–50 Occurrence Handle2001AnGla..32...44C

    ADS  Google Scholar 

  • Colbeck, S. et al. (1990). The international classification for seasonal snow on the ground, International Commission of Snow and Ice of International Association of Scientific Hydrology/prep. by Working group on Snow Classification.

  • Faillettaz, J., Daudon, D., Bonjean, D. and Louchet, F. (2002). Snow toughness measurements and possible applications to avalanche triggering. in: Proceedings ISSW 2002. International Snow Science Workshop (Edited by J.R. Stevens) Penticton BC, Canada, 29 September-4 October 2002, pp. 540–543.

  • Heierli, J. (2005). Solitary fracture waves in metastable snow stratifications. Journal of Geophysical Research-Earth Surface 110(F2), F02008, doi: 10.1029/2004JF000178.

  • Hempel, F. (2004). Evaluation of the macro-elastic-modulus of snow, Internal report SLF, Davos.

  • J.W. Hutchinson Z. Suo (1992) ArticleTitleMixed-Mode Cracking in Layered Materials Advances in Applied Mechanics 29 63–191 Occurrence Handle0790.73056 Occurrence Handle10.1016/S0065-2156(08)70164-9

    Article  MATH  Google Scholar 

  • J.B. Jamieson (1999) ArticleTitleThe compression test – after 25 years The Avalanche Review 18 IssueID1 10–12

    Google Scholar 

  • B.C. Johnson J.B. Jamieson R.R. Stewart (2004) ArticleTitleSeismic measurement of fracture speed in a weak snowpack layer Cold Regions Science and Technology 40 IssueID1–2 41–45 Occurrence Handle10.1016/j.coldregions.2004.05.003

    Article  Google Scholar 

  • J.B. Johnson M. Schneebeli (1999) ArticleTitleCharacterizing the microstructural and micromechanical properties of snow Cold Regions Science and Technology 30 IssueID1–3 91–100 Occurrence Handle10.1016/S0165-232X(99)00013-0

    Article  Google Scholar 

  • H.O.K. Kirchner G. Michot J. Schweizer (2002a) ArticleTitleFracture toughness of snow in shear and tension Scripta Materialia 46 IssueID6 425–429 Occurrence Handle10.1016/S1359-6462(02)00007-6

    Article  Google Scholar 

  • Kirchner, H.O.K., Michot, G. and Schweizer, J. (2002b). Fracture toughness of snow in shear under friction. Physical Review E 66(2), 027103(3).

  • H.O.K. Kirchner G. Michot T. Suzuki (2000) ArticleTitleFracture toughness of snow in tension Philosophical Magazine A 80 IssueID5 1265–1272 Occurrence Handle10.1080/01418610050024576 Occurrence Handle2000PMagA..80.1265O

    Article  ADS  Google Scholar 

  • Kronholm K. (2004). Spatial Variability of Snow Mechanical Properties. University of Zürich, Zürich, 187 pp.

  • D.M. McClung (1981) ArticleTitleFracture mechanical models of dry slab avalanche release Journal of Geophysical Research 86 IssueIDB11 10783–10790 Occurrence Handle1981JGR....8610783M

    ADS  Google Scholar 

  • Mellor, M. (1975). A review of basic snow mechanics, Snow mechanics symposium. IAHS-AISH, Vol. 114, Grindelwald, Switzerland, 251–291.

  • R. Perla E.R. LaChapelle (1970) ArticleTitleA theory of snow slab failure Journal of Geophysical Research 75 IssueID36 7619–7627 Occurrence Handle1970JGR....75.7619P

    ADS  Google Scholar 

  • J.R. Rice (1988) ArticleTitleElastic fracture-mechanics concepts for interfacial cracks Journal of Applied Mechanics-Transactions of the ASME 55 98–103 Occurrence Handle10.1115/1.3173668

    Article  Google Scholar 

  • M. Schneebeli J.B. Johnson (1998) ArticleTitleA constant-speed penetrometer for high-resolution snow stratigraphy Annals of Glaciology 26 107–111 Occurrence Handle1998AnGla..26..107S

    ADS  Google Scholar 

  • M. Schneebeli C. Pielmeier J.B. Johnson (1999) ArticleTitleMeasuring snow micro structure and hardness using a high resolution penetrometer Cold Regions Science and Technology 30 IssueID1–3 101–114 Occurrence Handle10.1016/S0165-232X(99)00030-0

    Article  Google Scholar 

  • Schweizer, J., Jamieson, J.B. and Schneebeli, M. (2003). Snow slab avalanche formation. Reviews of Geophysics 41(4), 1016, doi:10.1029/2002RG000123.

  • J. Schweizer G. Michot H.O.K. Kirchner (2004) ArticleTitleOn the fracture toughness of snow Annals of Glaciology 38 1–8 Occurrence Handle2004AnGla..38....1S

    ADS  Google Scholar 

  • Shapiro, L.H., Johnson, J.B., Sturm, M. and Blaisdell, G.L. (1997). Snow mechanics – Review of the state of knowledge and applications. Report 97-3, US Army CRREL, Hanover, NH, U.S.A.

  • C. Sigrist J. Schweizer H.J. Schindler J. Dual (2005) ArticleTitleOn size and shape effects in snow fracture toughness measurements Cold Regions Science and Technology 43 IssueID1–2 24–35 Occurrence Handle10.1016/j.coldregions.2005.05.001

    Article  Google Scholar 

  • Z.G. Suo J.W. Hutchinson (1990) ArticleTitleInterface Crack between two elastic layers International Journal of Fracture 43 IssueID1 1–18 Occurrence Handle10.1007/BF00018123

    Article  Google Scholar 

  • Tada, H., Paris, P.C. and Irwin, G.R. (1985). The Stress Analysis of Cracks Handbook. Paris Productions, MO, Saint Louis.

  • A. Herwijnen Particlevan B. Jamieson (2005) ArticleTitleHigh-speed photography of fractures in weak snowpack layers Cold Regions Science and Technology 43 IssueID1–2 71–82 Occurrence Handle10.1016/j.coldregions.2005.05.005

    Article  Google Scholar 

  • Y. Wei R.M. Adamson J.P. Dempsey (1996) ArticleTitleIce/metal interfaces: fracture energy and fractography Journal of Materials Science 31 943–947 Occurrence Handle10.1007/BF00352894 Occurrence Handle1996JMatS..31..943W

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christian Sigrist.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sigrist, C., Schweizer, J., Schindler, HJ. et al. The energy release rate of mode II fractures in layered snow samples. Int J Fract 139, 461–475 (2006). https://doi.org/10.1007/s10704-006-6580-9

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-006-6580-9

Keywords

Navigation