A Maxwell-elasto-brittle rheology for sea ice modelling
International audience A new rheological model is developed that builds on an elasto-brittle (EB) framework used for sea ice and rock mechanics, with the intent of representing both the small elastic deformations associated with fracturing processes and the larger deformations occurring along the fa...
Published in: | The Cryosphere |
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Main Authors: | , , , |
Other Authors: | , , , , , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
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HAL CCSD
2016
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Online Access: | https://hal.science/hal-01260964 https://hal.science/hal-01260964/document https://hal.science/hal-01260964/file/DanWeiSarLat-2016.pdf https://doi.org/10.5194/tc-10-1339-2016 |
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Open Polar |
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Université de Nantes: HAL-UNIV-NANTES |
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ftunivnantes |
language |
English |
topic |
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
spellingShingle |
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] Dansereau, Véronique Weiss, Jérôme Saramito, Pierre Lattes, Philippe A Maxwell-elasto-brittle rheology for sea ice modelling |
topic_facet |
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
description |
International audience A new rheological model is developed that builds on an elasto-brittle (EB) framework used for sea ice and rock mechanics, with the intent of representing both the small elastic deformations associated with fracturing processes and the larger deformations occurring along the faults/leads once the material is highly damaged and fragmented. A viscous-like relaxation term is added to the linear-elastic constitutive relationship together with an effective viscosity that evolves according to the local level of damage of the material, like its elastic modulus. The coupling between the level of damage and both mechanical parameters is such that within an undamaged ice cover the viscosity is infinitely large and deformations are strictly elastic, while along highly damaged zones the elastic modulus vanishes and most of the stress is dissipated through permanent deformations. A healing mechanism is also introduced, counterbalancing the effects of damaging over large time scales. In this new model, named Maxwell-EB after the Maxwell rheology, the irreversible and reversible deformations are solved for simultaneously, hence drift velocities are defined naturally. First idealized simulations without advection show that the model reproduces the main characteristics of sea ice mechanics and deformation: strain localization, anisotropy, intermittency and associated scaling laws. |
author2 |
Laboratoire de glaciologie et géophysique de l'environnement (LGGE) Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Observatoire des Sciences de l'Univers de Grenoble (OSUG ) Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) Institut des Sciences de la Terre (ISTerre) Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-Institut national des sciences de l'Univers (INSU - CNRS)-Institut de recherche pour le développement IRD : UR219-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) Equations aux Dérivées Partielles (EDP ) Laboratoire Jean Kuntzmann (LJK ) Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) Total, European Directory of Marine Environmental Data (DGEP/DSO/TEC/GEO) TOTAL FINA ELF |
format |
Article in Journal/Newspaper |
author |
Dansereau, Véronique Weiss, Jérôme Saramito, Pierre Lattes, Philippe |
author_facet |
Dansereau, Véronique Weiss, Jérôme Saramito, Pierre Lattes, Philippe |
author_sort |
Dansereau, Véronique |
title |
A Maxwell-elasto-brittle rheology for sea ice modelling |
title_short |
A Maxwell-elasto-brittle rheology for sea ice modelling |
title_full |
A Maxwell-elasto-brittle rheology for sea ice modelling |
title_fullStr |
A Maxwell-elasto-brittle rheology for sea ice modelling |
title_full_unstemmed |
A Maxwell-elasto-brittle rheology for sea ice modelling |
title_sort |
maxwell-elasto-brittle rheology for sea ice modelling |
publisher |
HAL CCSD |
publishDate |
2016 |
url |
https://hal.science/hal-01260964 https://hal.science/hal-01260964/document https://hal.science/hal-01260964/file/DanWeiSarLat-2016.pdf https://doi.org/10.5194/tc-10-1339-2016 |
genre |
Sea ice The Cryosphere |
genre_facet |
Sea ice The Cryosphere |
op_source |
ISSN: 1994-0424 EISSN: 1994-0416 The Cryosphere https://hal.science/hal-01260964 The Cryosphere, 2016, 10, pp.1339-1359. ⟨10.5194/tc-10-1339-2016⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.5194/tc-10-1339-2016 hal-01260964 https://hal.science/hal-01260964 https://hal.science/hal-01260964/document https://hal.science/hal-01260964/file/DanWeiSarLat-2016.pdf doi:10.5194/tc-10-1339-2016 |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.5194/tc-10-1339-2016 |
container_title |
The Cryosphere |
container_volume |
10 |
container_issue |
3 |
container_start_page |
1339 |
op_container_end_page |
1359 |
_version_ |
1766191732043546624 |
spelling |
ftunivnantes:oai:HAL:hal-01260964v1 2023-05-15T18:17:29+02:00 A Maxwell-elasto-brittle rheology for sea ice modelling Dansereau, Véronique Weiss, Jérôme Saramito, Pierre Lattes, Philippe Laboratoire de glaciologie et géophysique de l'environnement (LGGE) Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Observatoire des Sciences de l'Univers de Grenoble (OSUG ) Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) Institut des Sciences de la Terre (ISTerre) Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-Institut national des sciences de l'Univers (INSU - CNRS)-Institut de recherche pour le développement IRD : UR219-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) Equations aux Dérivées Partielles (EDP ) Laboratoire Jean Kuntzmann (LJK ) Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) Total, European Directory of Marine Environmental Data (DGEP/DSO/TEC/GEO) TOTAL FINA ELF 2016-07-01 https://hal.science/hal-01260964 https://hal.science/hal-01260964/document https://hal.science/hal-01260964/file/DanWeiSarLat-2016.pdf https://doi.org/10.5194/tc-10-1339-2016 en eng HAL CCSD Copernicus info:eu-repo/semantics/altIdentifier/doi/10.5194/tc-10-1339-2016 hal-01260964 https://hal.science/hal-01260964 https://hal.science/hal-01260964/document https://hal.science/hal-01260964/file/DanWeiSarLat-2016.pdf doi:10.5194/tc-10-1339-2016 info:eu-repo/semantics/OpenAccess ISSN: 1994-0424 EISSN: 1994-0416 The Cryosphere https://hal.science/hal-01260964 The Cryosphere, 2016, 10, pp.1339-1359. ⟨10.5194/tc-10-1339-2016⟩ [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] info:eu-repo/semantics/article Journal articles 2016 ftunivnantes https://doi.org/10.5194/tc-10-1339-2016 2023-03-01T06:24:00Z International audience A new rheological model is developed that builds on an elasto-brittle (EB) framework used for sea ice and rock mechanics, with the intent of representing both the small elastic deformations associated with fracturing processes and the larger deformations occurring along the faults/leads once the material is highly damaged and fragmented. A viscous-like relaxation term is added to the linear-elastic constitutive relationship together with an effective viscosity that evolves according to the local level of damage of the material, like its elastic modulus. The coupling between the level of damage and both mechanical parameters is such that within an undamaged ice cover the viscosity is infinitely large and deformations are strictly elastic, while along highly damaged zones the elastic modulus vanishes and most of the stress is dissipated through permanent deformations. A healing mechanism is also introduced, counterbalancing the effects of damaging over large time scales. In this new model, named Maxwell-EB after the Maxwell rheology, the irreversible and reversible deformations are solved for simultaneously, hence drift velocities are defined naturally. First idealized simulations without advection show that the model reproduces the main characteristics of sea ice mechanics and deformation: strain localization, anisotropy, intermittency and associated scaling laws. Article in Journal/Newspaper Sea ice The Cryosphere Université de Nantes: HAL-UNIV-NANTES The Cryosphere 10 3 1339 1359 |