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1. Fragmentation theory reveals processes controlling iceberg size distributions

   https://doi.org/10.1017/jog.2021.14  

   Åström, Jan; Cook, Sue; Enderlin, Ellyn M.; Sutherland, David A.; Mazur, Aleksandra; Glasser, Neil (August 2021, Journal of Glaciology)

   null (Ed.)

   Abstract Iceberg calving strongly controls glacier mass loss, but the fracture processes leading to iceberg formation are poorly understood due to the stochastic nature of calving. The size distributions of icebergs produced during the calving process can yield information on the processes driving calving and also affect the timing, magnitude, and spatial distribution of ocean fresh water fluxes near glaciers and ice sheets. In this study, we apply fragmentation theory to describe key calving behaviours, based on observational and modelling data from Greenland and Antarctica. In both regions, iceberg calving is dominated by elastic-brittle fracture processes, where distributions contain both exponential and power law components describing large-scale uncorrelated fracture and correlated branching fracture, respectively. Other size distributions can also be observed. For Antarctic icebergs, distributions change from elastic-brittle type during ‘stable’ calving to one dominated by grinding or crushing during ice shelf disintegration events. In Greenland, we find that iceberg fragment size distributions evolve from an initial elastic-brittle type distribution near the calving front, into a steeper grinding/crushing-type power law along-fjord. These results provide an entirely new framework for understanding controls on iceberg calving and how calving may react to climate forcing. 

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2. Wave erosion, frontal bending, and calving at Ross Ice Shelf

   https://doi.org/10.5194/tc-19-249-2025  

   Sartore, Nicolas B; Wagner, Till J_W; Siegfried, Matthew R; Pujara, Nimish; Zoet, Lucas K (January 2025, The Cryosphere)

   Abstract. Ice shelf calving constitutes roughly half of the total mass loss from the Antarctic ice sheet. Although much attention is paid to calving of giant tabular icebergs, these events are relatively rare. Here, we investigate the role of frontal melting and stresses at the ice shelf front in driving bending and calving on the scale of ∼100 m, perpendicular to the ice edge. We focus in particular on how buoyant underwater “feet” that protrude beyond the above-water ice cliff may cause tensile stresses at the base of the ice. Indirect and anecdotal observations of such feet at the Ross Ice Shelf front suggest that the resulting bending may be widespread and can trigger calving. We consider satellite observations together with an elastic beam model and a parameterization of wave erosion to better understand the dynamics at the ice shelf front. Our results suggest that on average frontal ablation rather consistently accounts for 20±5 m yr−1 of ice loss at Ross Ice Shelf, likely mostly due to wave erosion and smaller-scale, 𝒪(100 m), foot-induced calving. This constitutes only ∼2 % of the total frontal mass loss (since near-front ice velocities are ∼1000 m yr−1). Observational evidence suggests that sporadic larger events can skew this rate (we document one foot-induced calving event of size ∼1 km). Stresses from foot-induced bending are likely not sufficient to initiate crevassing but rather act to propagate existing crevasses. In addition, our results support recent findings by Buck (2024) that additional bending moments, likely due to temperature gradients in the ice, may play a role in driving frontal deflections. The highly variable environment, irregularity of pre-existing crevasse spacing, and complex rheology of the ice continue to pose challenges in better constraining the drivers behind the observed deformations and resulting calving rates. 

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3. Beyond the Stokes approximation: shallow visco-elastic ice-sheet models

   https://doi.org/10.1017/jog.2023.75  

   Bassis, Jeremy N.; Kachuck, Samuel B. (September 2023, Journal of Glaciology)

   Abstract The hypothesis that ice-sheet evolution is only controlled by the long-term non-Newtonian viscous behavior of ice has been challenged by observations indicating that effects like brittle failure, stick-slip sliding, tides and wave action may affect ice-sheet evolution on sub-daily timescales. Over these timescales, the quasi-static-creep approximation is no longer appropriate and elastic effects become important. Simulating elastic effects in ice-sheet models over relevant timescales, however, remains challenging. Here, we show that by including a visco-elastic rheology and reintroducing the oft neglected acceleration term back into the ice-sheet stress balance, we can create a visco-elastic system where the velocity is locally determined and information propagates at the elastic wave speed. Crucially, the elastic wave speed can be treated like an adjustable parameter and set to any value to reproduce a range of phenomena, provided the wave speed is large compared to the viscous velocity. We illustrate the system using three examples. The first two examples demonstrate that the system converges to the steady-state viscous and elastic limits. The third example examines ice-shelf rifting and iceberg calving. This final example hints at the utility of the visco-elastic formulation in treating both long-term evolution and short-term environmental effects. 

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4. Simulating ice-shelf extent using damage mechanics

   https://doi.org/10.1017/jog.2022.12  

   Kachuck, Samuel B.; Whitcomb, Morgan; Bassis, Jeremy N.; Martin, Daniel F.; Price, Stephen F. (January 2022, Journal of Glaciology)

   Inaccurate representations of iceberg calving from ice shelves are a large source of uncertainty in mass-loss projections from the Antarctic ice sheet. Here, we address this limitation by implementing and testing a continuum damage-mechanics model in a continental scale ice-sheet model. The damage-mechanics formulation, based on a linear stability analysis and subsequent long-wavelength approximation of crevasses that evolve in a viscous medium, links damage evolution to climate forcing and the large-scale stresses within an ice shelf. We incorporate this model into the BISICLES ice-sheet model and test it by applying it to idealized (1) ice tongues, for which we present analytical solutions and (2) buttressed ice-shelf geometries. Our simulations show that the model reproduces the large disparity in lengths of ice shelves with geometries and melt rates broadly similar to those of four Antarctic ice shelves: Erebus Glacier Tongue (length ~ 13 km), the unembayed portion of Drygalski Ice Tongue (~ 65 km), the Amery Ice Shelf (~ 350 km) and the Ross Ice Shelf (~ 500 km). These results demonstrate that our simple continuum model holds promise for constraining realistic ice-shelf extents in large-scale ice-sheet models in a computationally tractable manner. 

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5. Collision with Seamount Triggers Breakup of Antarctic Iceberg

   https://doi.org/10.5194/egusphere-2024-2790  

   Wang, Xianwei; Gudmundsson, Hilmar; Holland, David (November 2024, EGUsphere)

   Abstract. Iceberg A68a calved from Larsen C ice shelf, experienced several major calving when drifting around the South Georgia Island in late 2020. Here, we show for the first time that the decisive factor for its calving was a collision with the surrounding seamount. By treating the iceberg as a deformable body in an established ice-flow model, we show how its collision with the seafloor created huge stresses within the iceberg that led to its disintegration. The drifting and rotating of the iceberg, while grounded, further enhanced its breakup. Moving over a grounded shoal increased the tensile stresses by a factor of almost one hundred more than immobile grounding alone, and rotational motion about the pinning point increased the stresses by another twenty percent. Modeling the fracture and breakup of a large tabular iceberg is an essential step toward better understanding the life cycle of an iceberg. The possible collapse of the marine-based sectors of the great ice sheets in a warming world may lead to a massive increase in the number of icebergs in the surrounding oceans. It will be crucial to be able to understand where such icebergs drift and how they ultimately disintegrate into the ocean. 

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