Cited by 173Rock Mechanics and ModelingNumerical methods in engineeringHigh-Velocity Impact and Material Behavior

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Dynamic anticrack propagation in snow

Open access
Gaume, J., Gast, T., Teran, J., van Herwijnen, A., Jiang, C.·2018·Nature Communications

Abstract

Continuum numerical modeling of dynamic crack propagation has been a great challenge over the past decade. This is particularly the case for anticracks in porous materials, as reported in sedimentary rocks, deep earthquakes, landslides, and snow avalanches, as material inter-penetration further complicates the problem. Here, on the basis of a new elastoplasticity model for porous cohesive materials and a large strain hybrid Eulerian–Lagrangian numerical method, we accurately reproduced the onset and propagation dynamics of anticracks observed in snow fracture experiments. The key ingredient consists of a modified strain-softening plastic flow rule that captures the complexity of porous materials under mixed-mode loading accounting for the interplay between cohesion loss and volumetric collapse. Our unified model represents a significant step forward as it simulates solid-fluid phase transitions in geomaterials which is of paramount importance to mitigate and forecast gravitational hazards.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41467-018-05181-w

Cites

1 of 1 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Three-dimensional numerical simulations based on the Material Point Method and finite-strain elastoplasticity show that the small-slab avalanche impacted the hikers lying on the tent floor and filled the excavated space but did not have a significant runout, consistent with the reported lack of clear avalanche signs.

    “Three-dimensional numerical simulations based on the Material Point Method (MPM) and finite-strain elastoplasticity 19 (see Methods) show that this small-slab avalanche impacted the hikers lying on the tent floor and filled the excavated space but did not have a significant runout, consistent with the reported lack of clear avalanche signs (Fig. 5).”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 63

  1. Katsman, R., Aharonov, E. & Scher, H. A numerical study on localized volume reduction in elastic media: some insights on the mechanics of anticracks. J. Geophys. Res. Solid Earth 111, B03204 (2006). · DOI
  2. Barraclough, T. et al. Propagating compaction bands in confined compression of snow: Experiment and modelling. Nat. Phys. 13, 272–275 (2017). · DOI
  3. Fletcher, R. C. & Pollard, D. D. Anticrack model for pressure solution surfaces. Geology 9, 419–424 (1981). · DOI
  4. Sternlof, K. R., Karimi-Fard, M., Pollard, D. & Durlofsky, L. Flow and transport effects of compaction bands in sandstone at scales relevant to aquifer and reservoir management. Water Resour. Res. 42, W07425 (2006). · DOI
  5. Knight, C. A. & Knight, N. C. Superheated ice: true compression fractures and fast internal melting. Science 178, 613–614 (1972). · DOI
  6. Locat, J., Leroueil, S., Locat, A. & Lee, H. Submarine Mass Movements and Their Consequences, 3–12 (Springer, GEOMAR East Shore, Kiel, Germany,2014). · DOI
  7. Green, H. W., Young, T. E., Walker, D. & Scholz, C. H. Anticrack-associated faulting at very high pressure in natural olivine. Nature 348, 720–722 (1990). · DOI
  8. Green, H. W. Shearing instabilities accompanying high-pressure phase transformations and the mechanics of deep earthquakes. Proc. Natl Acad. Sci. USA 104, 9133–9138 (2007). · DOI
  9. Heierli, J., Gumbsch, P. & Sherman, D. Anticrack-type fracture in brittle foam under compressive stress. Scr. Mater. 67, 96–99 (2012). · DOI
  10. Heierli, J., Gumbsch, P. & Zaiser, M. Anticrack nucleation as triggering mechanism for snow slab avalanches. Science 321, 240–243 (2008). · DOI
  11. Reiweger, I., Gaume, J. & Schweizer, J. A new mixed-mode failure criterion for weak snowpack layers. Geophys. Res. Lett. 42, 1427–1432 (2015). · DOI · Paper page
  12. Schweizer, J., Jamieson, B. & Schneebeli, M. Snow avalanche formation. Rev. Geophys. 41, 1016 (2003). · DOI · Paper page
  13. McClung, D. Shear fracture precipitated by strain softening as a mechanism of dry slab avalanche release. J. Geophys. Res. 84, 3519–3526 (1979). · DOI
  14. Gauthier, D. & Jamieson, B. Evaluation of a prototype field test for fracture and failure propagation propensity in weak snowpack layers. Cold Reg. Sci. Technol. 51, 87–97 (2008). · DOI
  15. van Herwijnen, A., Schweizer, J. & Heierli, J. Measurement of the deformation field associated with fracture propagation in weak snowpack layers. J. Geophys. Res. 115, F03042 (2010).
  16. Gaume, J., van Herwijnen, A., Chambon, G., Birkeland, K. & Schweizer, J. Modeling of crack propagation in weak snowpack layers using the discrete element method. The Cryosphere 9, 1915–1932 (2015). · DOI
  17. Gaume, J., van Herwijnen, A., Chambon, G., Wever, N. & Schweizer, J. Snow fracture in relation to slab avalanche release: critical state for the onset of crack propagation. The Cryosphere 11, 217–228 (2017). · DOI
  18. Möes, N., Dolbow, J. & Belytschko, T. A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46, 131–150 (1999). · DOI
  19. Moës, N., Stolz, C., Bernard, P.-E. & Chevaugeon, N. A level set based model for damage growth: the thick level set approach. Int. J. Numer. Methods Eng. 86, 358–380 (2011). · DOI
  20. Mahajan, P., Kalakuntla, R. & Chandel, C. Numerical simulation of failure in a layered thin snowpack under skier load. Ann. Glaciol. 51, 169–175 (2010). · DOI
  21. Sulsky, D., Zhou, S.-J. & Schreyer, H. L. Application of a particle-in-cell method to solid mechanics. Comput. Phys. Commun. 87, 236–252 (1995). · DOI
  22. Gilabert, F., Cantavella, V., Sánchez, E. & Mallol, G. Modelling fracture process in ceramic materials using the material point method. Europhys. Lett. 96, 24002 (2011). · DOI
  23. Nguyen, G. D. An enriched constitutive model for fracture propagation analysis using the material point method. Appl. Mech. Mater. 553, 731–736 (2014). · DOI
  24. Stomakhin, A., Schroeder, C., Chai, L., Teran, J. & Selle, A. A material point method for snow simulation. ACM Trans. Graph. 32, 102 (2013). · DOI
  25. Schofield, A. & Wroth, P. Critical State Soil Mechanics (McGraw-Hill, London, 1968).
  26. Parry, R. Stress-Strain Behaviour of Soils (GT Foulis, Roscoe Memorial Symposium, Oxforshire, England, 1972).
  27. Mises, Rv Mechanik der festen körper im plastisch-deformablen zustand. Nachr. Von. der Ges. der Wiss. zu Göttingen, Math.-Phys. Kl. 1913, 582–592 (1913).
  28. Hagenmuller, P., Chambon, G. & Naaim, M. Microstructure-based modeling of snow mechanics: a discrete element approach. The Cryosphere 9, 1969–1982 (2015). · DOI
  29. Chandel, C., Srivastava, P. K. & Mahajan, P. Determination of failure envelope for faceted snow through numerical simulations. Cold Reg. Sci. Technol. 116, 56–64 (2015). · DOI
  30. Hagenmuller, P. Microstructure-based finite element modeling of snow failure envelope. Geophys. Res. Abstr. 19, 4459 (2017).
  31. Roscoe, K. H. & Burland, J. B. On the generalized stress–strain behaviour of wet clay. In Engineering plasticity, (eds J. Heyman, F. A. Leckie), pp. 535–609 (Cambridge University Press, Cambridge, UK, 1968).
  32. Palmer, A. & Rice, J. The growth of slip surfaces in the progressive failure of over-consolidated clay. Proc. R. Soc. Lond. 332, 527–548 (1973). · DOI
  33. Meschke, G., Liu, C. & Mang, H. A. Large strain finite-element analysis of snow. J. Eng. Mech. 122, 591–602 (1996). · DOI
  34. Ortiz, M. & Pandolfi, A. A variational cam-clay theory of plasticity. Comp. Meth. Appl. Mech. Eng. 193, 2645–2666 (2004). · DOI
  35. van Herwijnen, A. & Jamieson, B. High speed photography of fractures in weak snowpack layers. Cold Reg. Sci. Technol. 43, 71–82 (2005). · DOI
  36. Gaume, J., Löwe, H., Tan, S. & Tsang, L. Scaling laws for the mechanics of loose and cohesive granular materials based on baxter’s sticky hard spheres. Phys. Rev. E 96, 032914 (2017). · DOI
  37. Reiweger, I. Failure of a Layer of Buried Surface Hoar, Zürich. PhD thesis, ETH (2011). · DOI
  38. Reiweger, I. & Schweizer, J. Weak layer fracture: facets and depth hoar. The Cryosphere 7, 1447–1453 (2013). · DOI
  39. Sulsky, D. & Peterson, K. Toward a new elastic-decohesive model of arctic sea ice. Phys. D 240, 1674–1683 (2011). · DOI
  40. van Herwijnen, A. & Heierli, J. Measurements of crack-face friction in collapsed weak snow layers. Geophys. Res. Lett. 36, L23502 (2009). · DOI · Paper page
  41. Birkeland, K. et al. The role of slab and weak layers in fracture arrest. In Proceedings of International Snow Science Workshop , Banff, Alberta (ed. Haegeli, P.) 156–163 (2014).
  42. McClung, D. & Schweizer, J. Fracture toughness of dry snow slab avalanches from field measurements. J. Geophys. Res. 111, F04008 (2006). · DOI
  43. Gaume, J. & Reuter, B. Assessing snow instability in skier-triggered snow slab avalanches by combining failure initiation and crack propagation. Cold Reg. Sci. Technol. 144, 6–15 (2017). · DOI
  44. Schweizer, J. Predicting the Avalanche danger level from field observations. In Proceedings of International Snow Science Workshop, Lake Tahoe, CA, USA, 17–22 October 2010, 162–165 (2010).
  45. Gauthier, D. & Jamieson, B. On the sustainability and arrest of weak layer fracture in whumpfs and avalanches. In Proceedings of the International Snow Science Workshop, Lake Tahoe CA, USA, 17–22 October 2010, 224–231 (2010).
  46. Gauthier, D., Conlan, M. & Jamieson, B. Photogrammetry of fracture lines and avalanche terrain: Potential applications to research and hazard mitigation projects. In Proceedings of the International Snow Science Workshop, Banff, Canada, 29 September 2014 (2014).
  47. Bair, E., Gaume, J. & van Herwijnen, A. The role of collapse in avalanche release: review and implications for practitioners and future research. In Proceedings of the International Snow Science Workshop, Breckenridge, CO, USA, 02 October 2016, 24–31 (2016).
  48. Gaume, J., Chambon, G., Eckert, N., Naaim, M. & Schweizer, J. Influence of weak layer heterogeneity and slab properties on slab tensile failure propensity and avalanche release area. The Cryosphere 9, 795–804 (2015). · DOI
  49. van Herwijnen, A. et al. Estimating the effective elastic modulus and specific fracture energy of snowpack layers from field experiments. J. Glaciol. 62, 997–1007 (2016). · DOI
  50. Bühler, Y. et al. Snow depth mapping in high-alpine catchments using digital photogrammetry. The Cryosphere 9, 229–243 (2015). · DOI
  51. Scapozza, C. Entwicklung eines dichte- und temperaturabhängigen Stoffgesetzes zur Beschreibung des visko-elastischen Verhaltens von Schnee Zürich. PhD thesis, ETH (2004).
  52. Jamieson, B. & Johnston, C. In-situ tensile tests of snowpack layers. J. Glaciol. 36, 102–106 (1990). · DOI
  53. Mellor, M. A review of basic snow mechanics. IAHS Publ. 114, 251–291 (1975).
  54. Desrues, J., Darve, F., Flavigny, E., Navarre, J. & Taillefer, A. An incremental formulation of constitutive equations for deposited snow. J. Glaciol. 25, 289–307 (1980). · DOI
  55. Scapozza, C. & Bartelt, P. Triaxial tests on snow at low strain rate. Part II. constitutive behaviour. J. Glaciol. 49, 91–101 (2003). · DOI
  56. Brown, R. L. A volumetric constitutive law for snow based on a neck growth model. J. Appl. Phy. 51, 161–165 (1980). · DOI
  57. Jamieson, J. & Johnston, C. Evaluation of the shear frame test for weak snowpack layers. Ann. Glaciol. 32, 59–69 (2001). · DOI · Paper page
  58. Irving, G., Teran, J. & Fedkiw, R. Invertible finite elements for robust simulation of large deformation. In Proc. ACM SIGGRAPH/Eurograph Symp Comp Anim, pp. 131–140 (2004). · DOI
  59. Klár, G. et al. Drucker-prager elastoplasticity for sand animation. ACM Trans. Graph. 35, 103:1–103: 12 (2016). · DOI
  60. Simo, J. C. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Comp. Meth. Appl. Mech. Eng. 99, 61–112 (1992). · DOI
  61. Simo, J. & Meschke, G. A new class of algorithms for classical plasticity extended to finite strains. application to geomaterials. Comput. Mech. 11, 253–278 (1993). · DOI
  62. Brackbill, J. & Ruppel, H. FLIP: a method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions. J. Comp. Phys. 65, 314–343 (1986). · DOI
  63. Jiang, C., Schroeder, C., Teran, J., Stomakhin, A. & Selle, A. The material point method for simulating continuum materials. In ACM SIGGRAPH 2016 Courses, 1–52 (2016). · DOI

Cited by

Sorted by citations

Metadata

Authors
Gaume, J., Gast, T., Teran, J., van Herwijnen, A., & Jiang, C.
Affiliations
  • WSL Institute for Snow and Avalanche Research SLF (CH)
  • University of California, Los Angeles (US)
  • University of Pennsylvania (US)
Corresponding author
Gaume, J.
Venue
Nature Communications
Published
2018-08-03
Volume
9
Issue
1
Pages
3047-3047
ISSN
2041-1723 (ISSN-L)
OpenAlex
W2887575682
Cited by
173
References
1
Citations by year
2026: 18 · 2025: 26 · 2024: 22 · 2023: 16 · 2022: 30 · 2021: 28 · 2020: 19 · 2019: 13 · 2018: 1
FWCI
9.79
Type
journal article
Language
en
Open access
Locations
  • Nature Communications (publishedVersion, cc-by)
  • Europe PMC (PubMed Central) (publishedVersion, other-oa)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • Repository for Publications and Research Data (ETH Zurich) (publishedVersion, cc-by)
  • DORA WSL (Swiss Federal Institute for Forest, Snow and Landscape Research) (submittedVersion, cc-by)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • eScholarship (California Digital Library) (submittedVersion, cc-by)
  • Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
  • ETH Zürich Research Collection
Funders
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (IZK0Z2_174275, PZ00P2_161329)
Topics
  • Physical Sciences › Engineering › Mechanics of Materials › Rock Mechanics and Modeling
  • Physical Sciences › Engineering › Mechanics of Materials › Numerical methods in engineering
  • Physical Sciences › Engineering › Mechanics of Materials › High-Velocity Impact and Material Behavior
Keywords
combined loading, cohesion loss, solid-fluid phase transition, avalanches, continuum model

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review