Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors
Bulk directional enhancement factors are determined for axisymmetric (girdle and single-maximum) orientation fabrics using a transversely isotropic grain rheology with an orientation-dependent non-linear grain fluidity. Compared to grain fluidities that are simplified as orientation independent, we...
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Cambridge University Press
2021
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Online Access: | https://doi.org/10.1017/jog.2020.117 https://doaj.org/article/b4fe359c86e147459c8960807867537a |
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ftdoajarticles:oai:doaj.org/article:b4fe359c86e147459c8960807867537a 2023-05-15T16:40:54+02:00 Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors Nicholas M. Rathmann Christine S. Hvidberg Aslak Grinsted David A. Lilien Dorthe Dahl-Jensen 2021-06-01T00:00:00Z https://doi.org/10.1017/jog.2020.117 https://doaj.org/article/b4fe359c86e147459c8960807867537a EN eng Cambridge University Press https://www.cambridge.org/core/product/identifier/S0022143020001173/type/journal_article https://doaj.org/toc/0022-1430 https://doaj.org/toc/1727-5652 doi:10.1017/jog.2020.117 0022-1430 1727-5652 https://doaj.org/article/b4fe359c86e147459c8960807867537a Journal of Glaciology, Vol 67, Pp 569-575 (2021) Anisotropic ice ice rheology ice-sheet modelling Environmental sciences GE1-350 Meteorology. Climatology QC851-999 article 2021 ftdoajarticles https://doi.org/10.1017/jog.2020.117 2023-03-12T01:30:57Z Bulk directional enhancement factors are determined for axisymmetric (girdle and single-maximum) orientation fabrics using a transversely isotropic grain rheology with an orientation-dependent non-linear grain fluidity. Compared to grain fluidities that are simplified as orientation independent, we find that bulk strain-rate enhancements for intermediate-to-strong axisymmetric fabrics can be up to a factor of ten larger, assuming stress homogenization over the polycrystal scale. Our work thus extends previous results based on simple basal slip (Schmid) grain rheologies to the transversely isotropic rheology, which has implications for large-scale anisotropic ice-flow modelling that relies on a transversely isotropic grain rheology. In order to derive bulk enhancement factors for arbitrary evolving fabrics, we expand the c-axis distribution in terms of a spherical harmonic series, which allows the rheology-required structure tensors through order eight to easily be calculated and provides an alternative to current structure-tensor-based modelling. Article in Journal/Newspaper Ice Sheet Journal of Glaciology Directory of Open Access Journals: DOAJ Articles Journal of Glaciology 67 263 569 575 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Anisotropic ice ice rheology ice-sheet modelling Environmental sciences GE1-350 Meteorology. Climatology QC851-999 |
spellingShingle |
Anisotropic ice ice rheology ice-sheet modelling Environmental sciences GE1-350 Meteorology. Climatology QC851-999 Nicholas M. Rathmann Christine S. Hvidberg Aslak Grinsted David A. Lilien Dorthe Dahl-Jensen Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
topic_facet |
Anisotropic ice ice rheology ice-sheet modelling Environmental sciences GE1-350 Meteorology. Climatology QC851-999 |
description |
Bulk directional enhancement factors are determined for axisymmetric (girdle and single-maximum) orientation fabrics using a transversely isotropic grain rheology with an orientation-dependent non-linear grain fluidity. Compared to grain fluidities that are simplified as orientation independent, we find that bulk strain-rate enhancements for intermediate-to-strong axisymmetric fabrics can be up to a factor of ten larger, assuming stress homogenization over the polycrystal scale. Our work thus extends previous results based on simple basal slip (Schmid) grain rheologies to the transversely isotropic rheology, which has implications for large-scale anisotropic ice-flow modelling that relies on a transversely isotropic grain rheology. In order to derive bulk enhancement factors for arbitrary evolving fabrics, we expand the c-axis distribution in terms of a spherical harmonic series, which allows the rheology-required structure tensors through order eight to easily be calculated and provides an alternative to current structure-tensor-based modelling. |
format |
Article in Journal/Newspaper |
author |
Nicholas M. Rathmann Christine S. Hvidberg Aslak Grinsted David A. Lilien Dorthe Dahl-Jensen |
author_facet |
Nicholas M. Rathmann Christine S. Hvidberg Aslak Grinsted David A. Lilien Dorthe Dahl-Jensen |
author_sort |
Nicholas M. Rathmann |
title |
Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
title_short |
Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
title_full |
Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
title_fullStr |
Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
title_full_unstemmed |
Effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
title_sort |
effect of an orientation-dependent non-linear grain fluidity on bulk directional enhancement factors |
publisher |
Cambridge University Press |
publishDate |
2021 |
url |
https://doi.org/10.1017/jog.2020.117 https://doaj.org/article/b4fe359c86e147459c8960807867537a |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_source |
Journal of Glaciology, Vol 67, Pp 569-575 (2021) |
op_relation |
https://www.cambridge.org/core/product/identifier/S0022143020001173/type/journal_article https://doaj.org/toc/0022-1430 https://doaj.org/toc/1727-5652 doi:10.1017/jog.2020.117 0022-1430 1727-5652 https://doaj.org/article/b4fe359c86e147459c8960807867537a |
op_doi |
https://doi.org/10.1017/jog.2020.117 |
container_title |
Journal of Glaciology |
container_volume |
67 |
container_issue |
263 |
container_start_page |
569 |
op_container_end_page |
575 |
_version_ |
1766031334658015232 |