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https://doi.org/10.5194/egusphere-2022-790
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/egusphere-2022-790
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
18 Aug 2022
| 18 Aug 2022
Phase-field Models of Floe Fracture in Sea Ice
Abstract. We develop a phase-field model of brittle fracture to model fracture of sea ice floes. Phase fields allow a variational formulation of fracture using an energy functional that combines a linear elastic energy with a term modeling the energetic cost of fracture. We study the fracture strength of ice floes with stochastic thickness variations under boundary forcings or displacements. Our approach models refrozen cracks or other linear ice impurities with stochastic models for thickness profiles. We find that the orientation of thickness variations are an important factor for the strength of ice floes and study the distribution of critical stresses leading to fracture. Potential applications to Discrete Element Method (DEM) simulations and field data from the ICEx 2018 campaign are discussed.
How to cite. Dinh, H., Giannakis, D., Slawinska, J., and Stadler, G.: Phase-field Models of Floe Fracture in Sea Ice, EGUsphere [preprint], https://doi.org/10.5194/egusphere-2022-790, 2022.
Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this preprint. The responsibility to include appropriate place names lies with the authors.
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Journal article(s) based on this preprint
07 Sep 2023
Phase-field models of floe fracture in sea ice
Huy Dinh, Dimitrios Giannakis, Joanna Slawinska, and Georg Stadler
The Cryosphere, 17, 3883–3893, https://doi.org/10.5194/tc-17-3883-2023, https://doi.org/10.5194/tc-17-3883-2023, 2023
Short summary
Short summary
We develop a numerical method to simulate the fracture in kilometer-sized chunks of floating ice in the ocean. Our approach uses a mathematical model that balances deformation energy against the energy required for fracture. We study the strength of ice chunks that contain random impurities due to prior damage or refreezing and what types of fractures are likely to occur. Our model shows that crack direction critically depends on the orientation of impurities relative to surrounding forces.
Interactive discussion
Status: closed
Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor
| : Report abuse
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RC1: 'Comment on egusphere-2022-790', Damien Ringeisen, 01 Nov 2022
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2022/egusphere-2022-790/egusphere-2022-790-RC1-supplement.pdf
- AC1: 'Reply on RC1', Huy Dinh, 16 Jan 2023
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RC2: 'Comment on egusphere-2022-790', Anonymous Referee #2, 04 Nov 2022
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2022/egusphere-2022-790/egusphere-2022-790-RC2-supplement.pdf
- AC2: 'Reply on RC2', Huy Dinh, 16 Jan 2023
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RC3: 'Comment on egusphere-2022-790', Anonymous Referee #3, 02 Dec 2022
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2022/egusphere-2022-790/egusphere-2022-790-RC3-supplement.pdf
- AC3: 'Reply on RC3', Huy Dinh, 16 Jan 2023
Interactive discussion
Status: closed
Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor
| : Report abuse
-
RC1: 'Comment on egusphere-2022-790', Damien Ringeisen, 01 Nov 2022
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2022/egusphere-2022-790/egusphere-2022-790-RC1-supplement.pdf
- AC1: 'Reply on RC1', Huy Dinh, 16 Jan 2023
-
RC2: 'Comment on egusphere-2022-790', Anonymous Referee #2, 04 Nov 2022
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2022/egusphere-2022-790/egusphere-2022-790-RC2-supplement.pdf
- AC2: 'Reply on RC2', Huy Dinh, 16 Jan 2023
-
RC3: 'Comment on egusphere-2022-790', Anonymous Referee #3, 02 Dec 2022
The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2022/egusphere-2022-790/egusphere-2022-790-RC3-supplement.pdf
- AC3: 'Reply on RC3', Huy Dinh, 16 Jan 2023
Peer review completion
AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload
ED: Publish subject to revisions (further review by editor and referees) (26 Jan 2023) by Yevgeny Aksenov
AR by Huy Dinh on behalf of the Authors (22 Mar 2023)
Author's response
Author's tracked changes
Manuscript
ED: Referee Nomination & Report Request started (20 Apr 2023) by Yevgeny Aksenov
RR by Damien Ringeisen (27 Apr 2023)
RR by Anonymous Referee #2 (19 May 2023)
ED: Publish subject to revisions (further review by editor and referees) (26 May 2023) by Yevgeny Aksenov
AR by Huy Dinh on behalf of the Authors (03 Jul 2023)
Author's response
Author's tracked changes
Manuscript
ED: Referee Nomination & Report Request started (05 Jul 2023) by Yevgeny Aksenov
RR by Damien Ringeisen (05 Jul 2023)
ED: Publish as is (05 Jul 2023) by Yevgeny Aksenov
AR by Huy Dinh on behalf of the Authors (13 Jul 2023)
Author's response
Manuscript
Journal article(s) based on this preprint
07 Sep 2023
Phase-field models of floe fracture in sea ice
Huy Dinh, Dimitrios Giannakis, Joanna Slawinska, and Georg Stadler
The Cryosphere, 17, 3883–3893, https://doi.org/10.5194/tc-17-3883-2023, https://doi.org/10.5194/tc-17-3883-2023, 2023
Short summary
Short summary
We develop a numerical method to simulate the fracture in kilometer-sized chunks of floating ice in the ocean. Our approach uses a mathematical model that balances deformation energy against the energy required for fracture. We study the strength of ice chunks that contain random impurities due to prior damage or refreezing and what types of fractures are likely to occur. Our model shows that crack direction critically depends on the orientation of impurities relative to surrounding forces.
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Huy Dinh
CORRESPONDING AUTHOR
Courant Institute of Mathematical Sciences, New York University
Dimitrios Giannakis
Courant Institute of Mathematical Sciences, New York University
Department of Mathematics, Dartmouth College
Department of Physics and Astronomy, Dartmouth College
Joanna Slawinska
Department of Mathematics, Dartmouth College
Georg Stadler
Courant Institute of Mathematical Sciences, New York University
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The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
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Short summary
We develop a numerical method to simulate the fracture of kilometer-sized chunks of floating ice in the ocean. Our approach uses a mathematical model that relates deformation energy with the energy required for fracture. We study the strength of ice chunks that contain random impurities due to prior damage or refreezing, and what type of fractures are likely to occur.
We develop a numerical method to simulate the fracture of kilometer-sized chunks of floating ice...