Summary
Rockfalls, sturzstroms, landslides and snow and ice avalanches have been conjectured to be describable by a plastic continuum of the Mohr-Coulomb type with a constant internal angle of friction. Bed resistance is modeled through a sliding law by additively composing the basal traction of a Mohr-Coulomb stress with bed friction angle δ and a viscous drag that is proportional to the first or second power of the sliding velocity. The theoretical model takes advantage of depth averaging and presents field equations for the height and surface-parallel volume fluxes.
Results are reviewed that have been obtained with this theory in chute flows along straight and curved beds and unconfined motions of a finite mass of a cohesionsless granular material down plane and curved beds. The results are compared with experimental findings from extensive laboratory tests, and inferences are drawn that derive from such comparisons.
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References
Voellmy, A.: Über die Zerstörungskraft von Lawinen. Schweizerische Bauzeitung 73, 159–162, 212–217, 246–249, 280–285 (1955).
Salm, B.,: On nonuniform steady flow of avalanching snow. IUGG/IAHS General Assembly, Bern, Switzerland, IAHS Publ. No. 79, 19–29 (1968).
Perla, I. P., Cheng, T. T., McClung, D. M.: A two parameter model of snow avalanche motion. J. Glaciol. 26(94), 197–207 (1980).
Savage, S. B., Hutter, K.: The dynamics of avalanches of granular materials from initiation to runout, Part I. Analysis. Acta Mech. 86, 201–223 (1990).
Savage, S. B.: Flow of granular materials. In: Theoretical and applied mechanics (P. Germain, M. Piau, D. Caillerie, eds.), Elsevier Scientific Publ. V. V. North Holland, IUTAM 1989, 241–266
Hutter, K., Szidarovsky, F., Yakowitz, S.: Plane steady shear flow of a cohesionless granular material down an inclined plane: a model for flow avalanches, Part I. Theory. Acta Mech. 63, 87–112 (1986).
Hutter, K., Szidarovsky, F., Yakowitz, S.: Plane steady shear flow of a cohesionless granular material down an inclined plane: a model for flow avalanches, Part II. Numerical results. Acta Mech. 65, 239–261 (1986).
Savage, S. B., Hutter, K.: The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199, 177–215 (1989).
Hutter, K., Koch, T.: Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions. Phil. Trans. Roy. Soc London A 334, 93–138 (1991).
Hutter, K., Nohguchi, Y.: Similarity solutions for a Voellmy model of snow avalanches with finite mass. Acta Mech. 82, 99–127 (1990).
Savage, S. B., Nohguchi, Y.: Similarity solutions for avalanches of granular materials down curved beds. Acta Mech. 75, 153–174 (1988).
Nohguchi, Y., Hutter, K., Savage, S. B.: Similarity solutions for a finite mass granular avalanche with variable friction. Continuum Mechanics and Thermodynamics 1, 239–265 (1989).
Huber, A.: Schwallwellen in Seen als Folge von Felsstürzen. Mitteilung No. 47 der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der ETH, 1–122 (1980).
Plüss, Ch.: Experiments on granular avalanches. Diplomarbeit, Abt. X, Eidg. Technische Hochschule, Zürich, pp. 1–113 (1987).
Koch, T.: Bewegung einer Granulatlawine entlang einer gekrümmten Bahn. Diplomarbeit, Technische Hochschule Darmstadt, 1–122 (1989).
Hutter, K., Plüss, Ch., Maeno, N.: Some implications deduced from laboratory experiments on granular avalanches. Mitteilung No. 94 der Versuchsanstalt fur Wasserbau, Hydrologie und Glaziologie an der ETH, 323–344 (1988).
Hutter, K., Plüss, Ch., Savage, S. B.: Dynamics of avalanches of granular materials from initiation to runout, Part II. Laboratory experiments (in preparation).
Alean, J.: Untersuchungen über Entstehungsbedingungen und Reichweiten von Eislawinen. Mitteilung Nr. 74 der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der ETH, 1–217 (1984).
Lang, R. M.: An experimental and analytical study on gravity driven free surface flows of cohesionless granular media. Dr. rer. nat. dissertation, Technische Hochschule Darmstadt (forth-coming).
Hutter, K., Siegel, M., Savage, S. B., Nohguchi, Y.: Twodimensional spreading of a granular avalanche down an inclined plane. Part I. Theory. Acta Mech. (submitted).
Hutter, K., Siegel, M.: Two-dimensional similarity solutions for finite mass granular avalanches with Coulomb and viscous-type frictional resistance. J. Glaciol. (submitted).
Lang, R. M., Leo, B. R., Hutter, K.: Flow characteristics of an unconfined, non-cohesive, granular medium down an inclined curved surface, preliminary experimental results. Ann. Glaciol. 13, 146–153 (1989).
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Dedicated to Prof. Y.-H. Pao on the occasion of his sixtieth birthday
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Hutter, K. (1991). Two- and three dimensional evolution of granular avalanche flow — theory and experiments revisited. In: Barndorff-Nielsen, O.E., Willetts, B.B. (eds) Aeolian Grain Transport 1. Acta Mechanica Supplementum, vol 1. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6706-9_11
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DOI: https://doi.org/10.1007/978-3-7091-6706-9_11
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