Limiting stress states in granular avalanches
The Savage-Hunter theory for granular avalanches assumes that the granular material is in either of two limiting stress states, depending on whether the motion is convergent or divergent. At transitions between convergent and divergent regions, a jump in stress occurs, which necessarily implies that...
Main Authors: | , |
---|---|
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
1998
|
Subjects: | |
Online Access: | https://research.manchester.ac.uk/en/publications/a73e16ae-3e18-461e-85bc-a1fa138a17b7 |
id |
ftumanchesterpub:oai:pure.atira.dk:publications/a73e16ae-3e18-461e-85bc-a1fa138a17b7 |
---|---|
record_format |
openpolar |
spelling |
ftumanchesterpub:oai:pure.atira.dk:publications/a73e16ae-3e18-461e-85bc-a1fa138a17b7 2023-11-12T04:01:19+01:00 Limiting stress states in granular avalanches Tai, Y. C. Gray, J. M N T 1998 https://research.manchester.ac.uk/en/publications/a73e16ae-3e18-461e-85bc-a1fa138a17b7 eng eng info:eu-repo/semantics/restrictedAccess Tai , Y C & Gray , J M N T 1998 , ' Limiting stress states in granular avalanches ' , Annals of Glaciology , vol. 26 , pp. 272-276 . article 1998 ftumanchesterpub 2023-10-30T09:16:30Z The Savage-Hunter theory for granular avalanches assumes that the granular material is in either of two limiting stress states, depending on whether the motion is convergent or divergent. At transitions between convergent and divergent regions, a jump in stress occurs, which necessarily implies that there is a jump in the avalanche velocity and/or its thickness. In this paper, a regularization scheme is used, which smoothly switches from one stress state to the other, and avoids the generation of such singular surfaces. The resulting algorithm is more stable than previous numerical methods but shocks can still occur during rapid convergence in the run-out zone. Results are presented from two-dimensional calculations on complex geometry which illustrate that some necking features observed in laboratory experiments can be explained by the regularized Savage-Hutter model. Article in Journal/Newspaper Annals of Glaciology The University of Manchester: Research Explorer |
institution |
Open Polar |
collection |
The University of Manchester: Research Explorer |
op_collection_id |
ftumanchesterpub |
language |
English |
description |
The Savage-Hunter theory for granular avalanches assumes that the granular material is in either of two limiting stress states, depending on whether the motion is convergent or divergent. At transitions between convergent and divergent regions, a jump in stress occurs, which necessarily implies that there is a jump in the avalanche velocity and/or its thickness. In this paper, a regularization scheme is used, which smoothly switches from one stress state to the other, and avoids the generation of such singular surfaces. The resulting algorithm is more stable than previous numerical methods but shocks can still occur during rapid convergence in the run-out zone. Results are presented from two-dimensional calculations on complex geometry which illustrate that some necking features observed in laboratory experiments can be explained by the regularized Savage-Hutter model. |
format |
Article in Journal/Newspaper |
author |
Tai, Y. C. Gray, J. M N T |
spellingShingle |
Tai, Y. C. Gray, J. M N T Limiting stress states in granular avalanches |
author_facet |
Tai, Y. C. Gray, J. M N T |
author_sort |
Tai, Y. C. |
title |
Limiting stress states in granular avalanches |
title_short |
Limiting stress states in granular avalanches |
title_full |
Limiting stress states in granular avalanches |
title_fullStr |
Limiting stress states in granular avalanches |
title_full_unstemmed |
Limiting stress states in granular avalanches |
title_sort |
limiting stress states in granular avalanches |
publishDate |
1998 |
url |
https://research.manchester.ac.uk/en/publications/a73e16ae-3e18-461e-85bc-a1fa138a17b7 |
genre |
Annals of Glaciology |
genre_facet |
Annals of Glaciology |
op_source |
Tai , Y C & Gray , J M N T 1998 , ' Limiting stress states in granular avalanches ' , Annals of Glaciology , vol. 26 , pp. 272-276 . |
op_rights |
info:eu-repo/semantics/restrictedAccess |
_version_ |
1782332307433062400 |