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On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves
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| Zeitschriftentitel: | Journal of Glaciology |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Journal of Glaciology, 65, 2019, 250, S. 212-224 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Cambridge University Press (CUP)
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| Schlagwörter: |
| author_facet |
CHRISTMANN, JULIA MÜLLER, RALF HUMBERT, ANGELIKA CHRISTMANN, JULIA MÜLLER, RALF HUMBERT, ANGELIKA |
|---|---|
| author |
CHRISTMANN, JULIA MÜLLER, RALF HUMBERT, ANGELIKA |
| spellingShingle |
CHRISTMANN, JULIA MÜLLER, RALF HUMBERT, ANGELIKA Journal of Glaciology On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves Earth-Surface Processes |
| author_sort |
christmann, julia |
| spelling |
CHRISTMANN, JULIA MÜLLER, RALF HUMBERT, ANGELIKA 0022-1430 1727-5652 Cambridge University Press (CUP) Earth-Surface Processes http://dx.doi.org/10.1017/jog.2018.107 <jats:title>ABSTRACT</jats:title><jats:p>In the current ice-sheet models calving of ice shelves is based on phenomenological approaches. To obtain physics-based calving criteria, a viscoelastic Maxwell model is required accounting for short-term elastic and long-term viscous deformation. On timescales of months to years between calving events, as well as on long timescales with several subsequent iceberg break-offs, deformations are no longer small and linearized strain measures cannot be used. We present a finite deformation framework of viscoelasticity and extend this model by a nonlinear Glen-type viscosity. A finite element implementation is used to compute stress and strain states in the vicinity of the ice-shelf calving front. Stress and strain maxima of small (linearized strain measure) and finite strain formulations differ by ~ 5% after 1 and by ~ 30% after 10 years, respectively. A finite deformation formulation reaches a critical stress or strain faster, thus calving rates will be higher, despite the fact that the exact critical values are not known. Nonlinear viscosity of Glen-type leads to higher stress values. The Maxwell material model formulation for finite deformations presented here can also be applied to other glaciological problems, for example, tidal forcing at grounding lines or closure of englacial and subglacial melt channels.</jats:p> On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves Journal of Glaciology |
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On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_unstemmed |
On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_full |
On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_fullStr |
On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_full_unstemmed |
On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_short |
On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_sort |
on nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
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Earth-Surface Processes |
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http://dx.doi.org/10.1017/jog.2018.107 |
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2019 |
| physical |
212-224 |
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<jats:title>ABSTRACT</jats:title><jats:p>In the current ice-sheet models calving of ice shelves is based on phenomenological approaches. To obtain physics-based calving criteria, a viscoelastic Maxwell model is required accounting for short-term elastic and long-term viscous deformation. On timescales of months to years between calving events, as well as on long timescales with several subsequent iceberg break-offs, deformations are no longer small and linearized strain measures cannot be used. We present a finite deformation framework of viscoelasticity and extend this model by a nonlinear Glen-type viscosity. A finite element implementation is used to compute stress and strain states in the vicinity of the ice-shelf calving front. Stress and strain maxima of small (linearized strain measure) and finite strain formulations differ by ~ 5% after 1 and by ~ 30% after 10 years, respectively. A finite deformation formulation reaches a critical stress or strain faster, thus calving rates will be higher, despite the fact that the exact critical values are not known. Nonlinear viscosity of Glen-type leads to higher stress values. The Maxwell material model formulation for finite deformations presented here can also be applied to other glaciological problems, for example, tidal forcing at grounding lines or closure of englacial and subglacial melt channels.</jats:p> |
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| description | <jats:title>ABSTRACT</jats:title><jats:p>In the current ice-sheet models calving of ice shelves is based on phenomenological approaches. To obtain physics-based calving criteria, a viscoelastic Maxwell model is required accounting for short-term elastic and long-term viscous deformation. On timescales of months to years between calving events, as well as on long timescales with several subsequent iceberg break-offs, deformations are no longer small and linearized strain measures cannot be used. We present a finite deformation framework of viscoelasticity and extend this model by a nonlinear Glen-type viscosity. A finite element implementation is used to compute stress and strain states in the vicinity of the ice-shelf calving front. Stress and strain maxima of small (linearized strain measure) and finite strain formulations differ by ~ 5% after 1 and by ~ 30% after 10 years, respectively. A finite deformation formulation reaches a critical stress or strain faster, thus calving rates will be higher, despite the fact that the exact critical values are not known. Nonlinear viscosity of Glen-type leads to higher stress values. The Maxwell material model formulation for finite deformations presented here can also be applied to other glaciological problems, for example, tidal forcing at grounding lines or closure of englacial and subglacial melt channels.</jats:p> |
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| spelling | CHRISTMANN, JULIA MÜLLER, RALF HUMBERT, ANGELIKA 0022-1430 1727-5652 Cambridge University Press (CUP) Earth-Surface Processes http://dx.doi.org/10.1017/jog.2018.107 <jats:title>ABSTRACT</jats:title><jats:p>In the current ice-sheet models calving of ice shelves is based on phenomenological approaches. To obtain physics-based calving criteria, a viscoelastic Maxwell model is required accounting for short-term elastic and long-term viscous deformation. On timescales of months to years between calving events, as well as on long timescales with several subsequent iceberg break-offs, deformations are no longer small and linearized strain measures cannot be used. We present a finite deformation framework of viscoelasticity and extend this model by a nonlinear Glen-type viscosity. A finite element implementation is used to compute stress and strain states in the vicinity of the ice-shelf calving front. Stress and strain maxima of small (linearized strain measure) and finite strain formulations differ by ~ 5% after 1 and by ~ 30% after 10 years, respectively. A finite deformation formulation reaches a critical stress or strain faster, thus calving rates will be higher, despite the fact that the exact critical values are not known. Nonlinear viscosity of Glen-type leads to higher stress values. The Maxwell material model formulation for finite deformations presented here can also be applied to other glaciological problems, for example, tidal forcing at grounding lines or closure of englacial and subglacial melt channels.</jats:p> On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves Journal of Glaciology |
| spellingShingle | CHRISTMANN, JULIA, MÜLLER, RALF, HUMBERT, ANGELIKA, Journal of Glaciology, On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves, Earth-Surface Processes |
| title | On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_full | On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_fullStr | On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_full_unstemmed | On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_short | On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_sort | on nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| title_unstemmed | On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves |
| topic | Earth-Surface Processes |
| url | http://dx.doi.org/10.1017/jog.2018.107 |