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The Savage-Hutter avalanche model: how far can it be pushed?

Hutter, Kolumban ; Wang, Yongqi ; Pudasaini, Shiva P. (2005)
The Savage-Hutter avalanche model: how far can it be pushed?
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363 (1832)
doi: 10.1098/rsta.2005.1594
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

The Savage-Hutter (SH) avalanche model is a depth-averaged dynamical model of a fluid-like continuum implementing the following simplifying assumptions: (i) density preserving, (ii) shallowness of the avalanche piles and small topographic curvatures, (iii) Coulomb-type sliding with bed friction angle δ and (iv) Mohr-Coulomb behaviour in the interior with internal angle of friction φ >= δ and an ad hoc assumption reducing the number of Mohr's circles in three-dimensional stress states to one. We scrutinize the available literature on information regarding these assumptions and thus delineate the ranges of validity of the proposed model equations. The discussion is limited to relatively large snow avalanches with negligible powder snow component and laboratory sand avalanches starting on steep slopes. The conclusion of the analysis is that the SH model is a valid model for sand avalanches, but its Mohr-Coulomb sliding law may have to be complemented for snow avalanches by a second velocity-dependent contribution. For very small snow avalanches and for laboratory avalanches starting on moderately steep and bumpy slopes it may not be adequate.

Typ des Eintrags: Artikel
Erschienen: 2005
Autor(en): Hutter, Kolumban ; Wang, Yongqi ; Pudasaini, Shiva P.
Art des Eintrags: Bibliographie
Titel: The Savage-Hutter avalanche model: how far can it be pushed?
Sprache: Englisch
Publikationsjahr: 2005
Verlag: The Royal Society
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Jahrgang/Volume einer Zeitschrift: 363
(Heft-)Nummer: 1832
DOI: 10.1098/rsta.2005.1594
URL / URN: http://rsta.royalsocietypublishing.org/content/363/1832/1507...
Kurzbeschreibung (Abstract):

The Savage-Hutter (SH) avalanche model is a depth-averaged dynamical model of a fluid-like continuum implementing the following simplifying assumptions: (i) density preserving, (ii) shallowness of the avalanche piles and small topographic curvatures, (iii) Coulomb-type sliding with bed friction angle δ and (iv) Mohr-Coulomb behaviour in the interior with internal angle of friction φ >= δ and an ad hoc assumption reducing the number of Mohr's circles in three-dimensional stress states to one. We scrutinize the available literature on information regarding these assumptions and thus delineate the ranges of validity of the proposed model equations. The discussion is limited to relatively large snow avalanches with negligible powder snow component and laboratory sand avalanches starting on steep slopes. The conclusion of the analysis is that the SH model is a valid model for sand avalanches, but its Mohr-Coulomb sliding law may have to be complemented for snow avalanches by a second velocity-dependent contribution. For very small snow avalanches and for laboratory avalanches starting on moderately steep and bumpy slopes it may not be adequate.

Zusätzliche Informationen:

doi:10.1098/rsta.2005.1594

Fachbereich(e)/-gebiet(e): Studienbereiche
16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
Studienbereiche > Studienbereich Mechanik
Hinterlegungsdatum: 24 Aug 2011 17:57
Letzte Änderung: 09 Jan 2024 12:36
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