A continuum anisotropic model of sea-ice dynamics
We develop the essential ingredients of a new, continuum and anisotropic model of sea-ice dynamics designed for eventual use in climate simulation. These ingredients are a constitutive law for sea-ice stress, relating stress to the material properties of sea ice and to internal variables describing...
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ftkazanuniv:oai:dspace.kpfu.ru:net/135105 2023-05-15T18:16:08+02:00 A continuum anisotropic model of sea-ice dynamics Wilchinsky A. Feltham D. 2004 https://dspace.kpfu.ru/xmlui/handle/net/135105 unknown Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2047 460 2105 http://dspace.kpfu.ru/xmlui/bitstream/net/135105/-1/SCOPUS13645021-2004-460-2047-SID3042521075-a1.pdf 1364-5021 https://dspace.kpfu.ru/xmlui/handle/net/135105 SCOPUS13645021-2004-460-2047-SID3042521075 Anisotropic Flawed continuum Plastic Rheology Sea ice Article 2004 ftkazanuniv 2022-01-01T09:46:02Z We develop the essential ingredients of a new, continuum and anisotropic model of sea-ice dynamics designed for eventual use in climate simulation. These ingredients are a constitutive law for sea-ice stress, relating stress to the material properties of sea ice and to internal variables describing the sea-ice state, and equations describing the evolution of these variables. The sea-ice cover is treated as a densely flawed two-dimensional continuum consisting of a uniform field of thick ice that is uniformly permeated with narrow linear regions of thinner ice called leads. Lead orientation, thickness and width distributions are described by second-rank tensor internal variables: the structure, thickness and width tensors, whose dynamics are governed by corresponding evolution equations accounting for processes such as new lead generation and rotation as the ice cover deforms. These evolution equations contain contractions of higher-order tensor expressions that require closures. We develop a sea-ice stress constitutive law that relates sea-ice stress to the structure tensor, thickness tensor and strain rate. For the special case of empty leads (containing no ice), linear closures are adopted and we present calculations for simple shear, convergence and divergence. Article in Journal/Newspaper Sea ice Kazan Federal University Digital Repository |
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Open Polar |
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Kazan Federal University Digital Repository |
op_collection_id |
ftkazanuniv |
language |
unknown |
topic |
Anisotropic Flawed continuum Plastic Rheology Sea ice |
spellingShingle |
Anisotropic Flawed continuum Plastic Rheology Sea ice Wilchinsky A. Feltham D. A continuum anisotropic model of sea-ice dynamics |
topic_facet |
Anisotropic Flawed continuum Plastic Rheology Sea ice |
description |
We develop the essential ingredients of a new, continuum and anisotropic model of sea-ice dynamics designed for eventual use in climate simulation. These ingredients are a constitutive law for sea-ice stress, relating stress to the material properties of sea ice and to internal variables describing the sea-ice state, and equations describing the evolution of these variables. The sea-ice cover is treated as a densely flawed two-dimensional continuum consisting of a uniform field of thick ice that is uniformly permeated with narrow linear regions of thinner ice called leads. Lead orientation, thickness and width distributions are described by second-rank tensor internal variables: the structure, thickness and width tensors, whose dynamics are governed by corresponding evolution equations accounting for processes such as new lead generation and rotation as the ice cover deforms. These evolution equations contain contractions of higher-order tensor expressions that require closures. We develop a sea-ice stress constitutive law that relates sea-ice stress to the structure tensor, thickness tensor and strain rate. For the special case of empty leads (containing no ice), linear closures are adopted and we present calculations for simple shear, convergence and divergence. |
format |
Article in Journal/Newspaper |
author |
Wilchinsky A. Feltham D. |
author_facet |
Wilchinsky A. Feltham D. |
author_sort |
Wilchinsky A. |
title |
A continuum anisotropic model of sea-ice dynamics |
title_short |
A continuum anisotropic model of sea-ice dynamics |
title_full |
A continuum anisotropic model of sea-ice dynamics |
title_fullStr |
A continuum anisotropic model of sea-ice dynamics |
title_full_unstemmed |
A continuum anisotropic model of sea-ice dynamics |
title_sort |
continuum anisotropic model of sea-ice dynamics |
publishDate |
2004 |
url |
https://dspace.kpfu.ru/xmlui/handle/net/135105 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
SCOPUS13645021-2004-460-2047-SID3042521075 |
op_relation |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2047 460 2105 http://dspace.kpfu.ru/xmlui/bitstream/net/135105/-1/SCOPUS13645021-2004-460-2047-SID3042521075-a1.pdf 1364-5021 https://dspace.kpfu.ru/xmlui/handle/net/135105 |
_version_ |
1766189576728084480 |