Phase Field Modeling of Cracks in Ice
Calving of iceberg at ice shelves and floating glacier tongues is a poorly understood process, hence a physically motivated calving law is not yet existing. The demands on developing appropriate models for calving is large, as calving rates are needed for large scale ice sheet models that simulate t...
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ftawi:oai:epic.awi.de:58200 2024-02-11T10:04:30+01:00 Phase Field Modeling of Cracks in Ice Humbert, Angelika Sondershaus, Rabea Gross, Dietmar Müller, Ralf Altenbach, Holm Hohe, Jörg Mittelstedt, Christian 2024-01-01 application/pdf https://epic.awi.de/id/eprint/58200/ https://epic.awi.de/id/eprint/58200/1/PFMinIce.pdf https://doi.org/10.1007/978-3-031-45554-4_11 https://hdl.handle.net/10013/epic.8eab4d9d-9ed1-4e82-b04b-c1ce153a890c unknown Springer https://epic.awi.de/id/eprint/58200/1/PFMinIce.pdf Humbert, A. orcid:0000-0002-0244-8760 , Sondershaus, R. , Gross, D. and Müller, R. (2024) Phase Field Modeling of Cracks in Ice / H. Altenbach , J. Hohe and C. Mittelstedt (editors) , Springer, 24 p., ISBN: 9783031455537 . doi:10.1007/978-3-031-45554-4_11 <https://doi.org/10.1007/978-3-031-45554-4_11> , hdl:10013/epic.8eab4d9d-9ed1-4e82-b04b-c1ce153a890c EPIC3Springer, 24 p., pp. 281-304, ISBN: 9783031455537 Inbook peerRev 2024 ftawi https://doi.org/10.1007/978-3-031-45554-4_11 2024-01-15T00:23:10Z Calving of iceberg at ice shelves and floating glacier tongues is a poorly understood process, hence a physically motivated calving law is not yet existing. The demands on developing appropriate models for calving is large, as calving rates are needed for large scale ice sheet models that simulate the evolution of ice sheets. Here, we present a new approach for simulating fracture in ice. Our model is based on a finite strain theory for a viscoelastic Maxwell material, as the large simulation time leads to high strains. The fracturing process is simulated using a fracture phase field model that takes into account the elastic strain energy. We conduct simulations for a typical calving front geometry, with ice rises governing the formation of cracks. To represent the stress state adequately, we first conduct a spin-up to allow the viscous contribution to develop before the fracture phase field is computed. The analysis comprises the assessment of the crack path in comparison to observations, the influence of the spin-up, as well as elastic versus viscous strain contributions based on Hencky strain. Additionally, an estimate of released energy based on high resolution optical imagery of a Greenlandic calving front is presented. Book Part greenlandic Ice Sheet Ice Shelves Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) 281 304 |
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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 |
Calving of iceberg at ice shelves and floating glacier tongues is a poorly understood process, hence a physically motivated calving law is not yet existing. The demands on developing appropriate models for calving is large, as calving rates are needed for large scale ice sheet models that simulate the evolution of ice sheets. Here, we present a new approach for simulating fracture in ice. Our model is based on a finite strain theory for a viscoelastic Maxwell material, as the large simulation time leads to high strains. The fracturing process is simulated using a fracture phase field model that takes into account the elastic strain energy. We conduct simulations for a typical calving front geometry, with ice rises governing the formation of cracks. To represent the stress state adequately, we first conduct a spin-up to allow the viscous contribution to develop before the fracture phase field is computed. The analysis comprises the assessment of the crack path in comparison to observations, the influence of the spin-up, as well as elastic versus viscous strain contributions based on Hencky strain. Additionally, an estimate of released energy based on high resolution optical imagery of a Greenlandic calving front is presented. |
author2 |
Altenbach, Holm Hohe, Jörg Mittelstedt, Christian |
format |
Book Part |
author |
Humbert, Angelika Sondershaus, Rabea Gross, Dietmar Müller, Ralf |
spellingShingle |
Humbert, Angelika Sondershaus, Rabea Gross, Dietmar Müller, Ralf Phase Field Modeling of Cracks in Ice |
author_facet |
Humbert, Angelika Sondershaus, Rabea Gross, Dietmar Müller, Ralf |
author_sort |
Humbert, Angelika |
title |
Phase Field Modeling of Cracks in Ice |
title_short |
Phase Field Modeling of Cracks in Ice |
title_full |
Phase Field Modeling of Cracks in Ice |
title_fullStr |
Phase Field Modeling of Cracks in Ice |
title_full_unstemmed |
Phase Field Modeling of Cracks in Ice |
title_sort |
phase field modeling of cracks in ice |
publisher |
Springer |
publishDate |
2024 |
url |
https://epic.awi.de/id/eprint/58200/ https://epic.awi.de/id/eprint/58200/1/PFMinIce.pdf https://doi.org/10.1007/978-3-031-45554-4_11 https://hdl.handle.net/10013/epic.8eab4d9d-9ed1-4e82-b04b-c1ce153a890c |
genre |
greenlandic Ice Sheet Ice Shelves |
genre_facet |
greenlandic Ice Sheet Ice Shelves |
op_source |
EPIC3Springer, 24 p., pp. 281-304, ISBN: 9783031455537 |
op_relation |
https://epic.awi.de/id/eprint/58200/1/PFMinIce.pdf Humbert, A. orcid:0000-0002-0244-8760 , Sondershaus, R. , Gross, D. and Müller, R. (2024) Phase Field Modeling of Cracks in Ice / H. Altenbach , J. Hohe and C. Mittelstedt (editors) , Springer, 24 p., ISBN: 9783031455537 . doi:10.1007/978-3-031-45554-4_11 <https://doi.org/10.1007/978-3-031-45554-4_11> , hdl:10013/epic.8eab4d9d-9ed1-4e82-b04b-c1ce153a890c |
op_doi |
https://doi.org/10.1007/978-3-031-45554-4_11 |
container_start_page |
281 |
op_container_end_page |
304 |
_version_ |
1790601105232625664 |