Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles
<jats:title>Abstract</jats:title><jats:p>Most viscous‐plastic sea ice models use the elliptical yield curve. This yield curve has a fundamental flaw: it excludes acute angles between deformation features at high resolution. Conceptually, the teardrop (TD) and parabolic lens (PL) yi...
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American Geophysical Union (AGU)
2023
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Online Access: | https://epic.awi.de/id/eprint/57940/ https://epic.awi.de/id/eprint/57940/1/ringeisen-etal2023_td.pdf https://doi.org/10.1029/2023ms003613 https://hdl.handle.net/10013/epic.5df98125-071c-4dd1-9235-58c55d5bc105 |
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ftawi:oai:epic.awi.de:57940 2023-10-09T21:49:15+02:00 Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles Ringeisen, Damien Losch, Martin Tremblay, L Bruno 2023-09 application/pdf https://epic.awi.de/id/eprint/57940/ https://epic.awi.de/id/eprint/57940/1/ringeisen-etal2023_td.pdf https://doi.org/10.1029/2023ms003613 https://hdl.handle.net/10013/epic.5df98125-071c-4dd1-9235-58c55d5bc105 unknown American Geophysical Union (AGU) https://epic.awi.de/id/eprint/57940/1/ringeisen-etal2023_td.pdf Ringeisen, D. , Losch, M. orcid:0000-0002-3824-5244 and Tremblay, L. B. (2023) Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles , Journal of Advances in Modeling Earth Systems, 15 (9) . doi:10.1029/2023ms003613 <https://doi.org/10.1029/2023ms003613> , hdl:10013/epic.5df98125-071c-4dd1-9235-58c55d5bc105 EPIC3Journal of Advances in Modeling Earth Systems, American Geophysical Union (AGU), 15(9), ISSN: 1942-2466 Article peerRev 2023 ftawi https://doi.org/10.1029/2023ms003613 2023-09-10T23:22:09Z <jats:title>Abstract</jats:title><jats:p>Most viscous‐plastic sea ice models use the elliptical yield curve. This yield curve has a fundamental flaw: it excludes acute angles between deformation features at high resolution. Conceptually, the teardrop (TD) and parabolic lens (PL) yield curves offer an attractive alternative. These yield curves feature a non‐symmetrical shape, a Coulombic behavior for the low‐medium compressive stress, and a continuous transition to the ridging‐dominant mode, but their published formulation leads to negative or zero bulk and shear viscosities and, consequently, poor numerical convergence with stress states at times outside the yield curve. These issues are a consequence of the original assumption that the constitutive equations of the commonly used elliptical yield curve are also applicable to non‐symmetrical yield curves and yield curves with tensile strength. We derive a corrected formulation for the constitutive relations of the TD and PL yield curves. Results from simple uni‐axial loading experiments show that with the new formulation the numerical convergence of the solver improves and much smaller nonlinear residuals after a smaller number of total solver iterations can be reached, resulting in significant improvements in numerical efficiency and representation of the stress and deformation fields. The TD and PL yield curves lead to smaller angles of failure that better agree with observations. They are promising candidates to replace the elliptical yield curve in high‐resolution pan‐Arctic sea ice simulations.</jats:p> Article in Journal/Newspaper Arctic Sea ice Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) Arctic Teardrop ENVELOPE(163.917,163.917,-78.150,-78.150) Journal of Advances in Modeling Earth Systems 15 9 |
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Open Polar |
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Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) |
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ftawi |
language |
unknown |
description |
<jats:title>Abstract</jats:title><jats:p>Most viscous‐plastic sea ice models use the elliptical yield curve. This yield curve has a fundamental flaw: it excludes acute angles between deformation features at high resolution. Conceptually, the teardrop (TD) and parabolic lens (PL) yield curves offer an attractive alternative. These yield curves feature a non‐symmetrical shape, a Coulombic behavior for the low‐medium compressive stress, and a continuous transition to the ridging‐dominant mode, but their published formulation leads to negative or zero bulk and shear viscosities and, consequently, poor numerical convergence with stress states at times outside the yield curve. These issues are a consequence of the original assumption that the constitutive equations of the commonly used elliptical yield curve are also applicable to non‐symmetrical yield curves and yield curves with tensile strength. We derive a corrected formulation for the constitutive relations of the TD and PL yield curves. Results from simple uni‐axial loading experiments show that with the new formulation the numerical convergence of the solver improves and much smaller nonlinear residuals after a smaller number of total solver iterations can be reached, resulting in significant improvements in numerical efficiency and representation of the stress and deformation fields. The TD and PL yield curves lead to smaller angles of failure that better agree with observations. They are promising candidates to replace the elliptical yield curve in high‐resolution pan‐Arctic sea ice simulations.</jats:p> |
format |
Article in Journal/Newspaper |
author |
Ringeisen, Damien Losch, Martin Tremblay, L Bruno |
spellingShingle |
Ringeisen, Damien Losch, Martin Tremblay, L Bruno Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles |
author_facet |
Ringeisen, Damien Losch, Martin Tremblay, L Bruno |
author_sort |
Ringeisen, Damien |
title |
Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles |
title_short |
Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles |
title_full |
Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles |
title_fullStr |
Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles |
title_full_unstemmed |
Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles |
title_sort |
teardrop and parabolic lens yield curves for viscous‐plastic sea ice models: new constitutive equations and failure angles |
publisher |
American Geophysical Union (AGU) |
publishDate |
2023 |
url |
https://epic.awi.de/id/eprint/57940/ https://epic.awi.de/id/eprint/57940/1/ringeisen-etal2023_td.pdf https://doi.org/10.1029/2023ms003613 https://hdl.handle.net/10013/epic.5df98125-071c-4dd1-9235-58c55d5bc105 |
long_lat |
ENVELOPE(163.917,163.917,-78.150,-78.150) |
geographic |
Arctic Teardrop |
geographic_facet |
Arctic Teardrop |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_source |
EPIC3Journal of Advances in Modeling Earth Systems, American Geophysical Union (AGU), 15(9), ISSN: 1942-2466 |
op_relation |
https://epic.awi.de/id/eprint/57940/1/ringeisen-etal2023_td.pdf Ringeisen, D. , Losch, M. orcid:0000-0002-3824-5244 and Tremblay, L. B. (2023) Teardrop and Parabolic Lens Yield Curves for Viscous‐Plastic Sea Ice Models: New Constitutive Equations and Failure Angles , Journal of Advances in Modeling Earth Systems, 15 (9) . doi:10.1029/2023ms003613 <https://doi.org/10.1029/2023ms003613> , hdl:10013/epic.5df98125-071c-4dd1-9235-58c55d5bc105 |
op_doi |
https://doi.org/10.1029/2023ms003613 |
container_title |
Journal of Advances in Modeling Earth Systems |
container_volume |
15 |
container_issue |
9 |
_version_ |
1779312265349038080 |