On modeling the anisotropic failure and flow of flawed sea ice

Hibler, W. D.; Schulson, E. M.

doi:10.1029/2000jc900045

Cited by 121 publications

(144 citation statements)

References 35 publications

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“…This relationship between continuum-scale and subcontinuum scale ice strength is useful in extrapolating from laboratory-determined estimates of P* [e.g., Sammonds et al, 2005]. The continuum, lemon-shaped plastic yield curve may be considered to be an alternative to commonly-adopted yield curve shapes, such as the ellipse [Hibler, 1979], Coulombic ice-cream cone [Tremblay and Mysak, 1997] or modified Coulombic ellipse [Hibler and Schulson, 2000].…”

Section: Continuum Gcm-scale Rheology Derived From Ensemble Averagingmentioning

confidence: 99%

“…This rheology is appropriate to sea ice treated as a continuum on a large scale, e.g. 100 km, but it has also been suggested that this rheology is appropriate as a description of the material behavior of sea ice on much smaller, laboratory, scales [e.g., Hibler and Schulson, 2000], although with a slightly modified ice strength and yield curve aspect ratio. For this reason, we consider a material rheology given by the elliptic yield curve and flow rule described in Hibler and Schulson [2000], which allows the possibility of tensile stress.…”

Section: A1 Elliptic Yield Curvementioning

confidence: 99%

“…We use an imposed material rheology of the ice in the cracks to determine the stress inside the cracks. These subcontinuum stresses are related to the continuum-scale using an areaweighted average in a manner similar to Hibler and Schulson [2000].…”

Section: Calculation Of Continuum-scale Sea Ice Stressmentioning

confidence: 99%

“…[20] We consider the sea ice stresses within the cracks to be described using an isotropic plastic rheology and we use three particular yield curves in our analysis: the elliptic yield curve; a modified Coulombic elliptic yield curve [Hibler and Schulson, 2000]; and a linear, Coulombic yield curve. These yield curves are illustrated in Figure 3 and discussed in Appendix A.…”

Section: Materials Rheologymentioning

confidence: 99%

“…[72] Hibler and Schulson [2000] introduced a modified elliptic yield curve that was mainly Coulombic (linear) under divergence and elliptic under convergence, and was based on biaxial compression experiments on brittle sea ice. The resulting yield curve is the shape of a full ice cream cone.…”

Section: A2 Modified Coulombic Elliptic Yield Curvementioning

confidence: 99%

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Continuum sea ice rheology determined from subcontinuum mechanics

Taylor¹,

Feltham²,

Sammonds³

et al. 2006

J. Geophys. Res.

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[1] A method is presented to calculate the continuum-scale sea ice stress as an imposed, continuum-scale strain-rate is varied. The continuum-scale stress is calculated as the areaaverage of the stresses within the floes and leads in a region (the continuum element). The continuum-scale stress depends upon: the imposed strain rate; the subcontinuum scale, material rheology of sea ice; the chosen configuration of sea ice floes and leads; and a prescribed rule for determining the motion of the floes in response to the continuum-scale strain-rate. We calculated plastic yield curves and flow rules associated with subcontinuum scale, material sea ice rheologies with elliptic, linear and modified Coulombic elliptic plastic yield curves, and with square, diamond and irregular, convex polygon-shaped floes. For the case of a tiling of square floes, only for particular orientations of the leads have the principal axes of strain rate and calculated continuum-scale sea ice stress aligned, and these have been investigated analytically. The ensemble average of calculated sea ice stress for square floes with uniform orientation with respect to the principal axes of strain rate yielded alignment of average stress and strain-rate principal axes and an isotropic, continuum-scale sea ice rheology. We present a lemon-shaped yield curve with normal flow rule, derived from ensemble averages of sea ice stress, suitable for direct inclusion into the current generation of sea ice models. This continuum-scale sea ice rheology directly relates the size (strength) of the continuum-scale yield curve to the material compressive strength.

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Section: Continuum Gcm-scale Rheology Derived From Ensemble Averagingmentioning

confidence: 99%

Section: A1 Elliptic Yield Curvementioning

confidence: 99%

Section: Calculation Of Continuum-scale Sea Ice Stressmentioning

confidence: 99%

Section: Materials Rheologymentioning

confidence: 99%

Section: A2 Modified Coulombic Elliptic Yield Curvementioning

confidence: 99%

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Continuum sea ice rheology determined from subcontinuum mechanics

Taylor¹,

Feltham²,

Sammonds³

et al. 2006

J. Geophys. Res.

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A dynamical model of Kara Sea land‐fast ice

Ólason

2016

JGR Oceans

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This paper introduces modifications to the traditional viscous‐plastic sea‐ice dynamical model, which are necessary to model land‐fast ice in the Kara Sea in a realistic manner. The most important modifications are an increase in the maximum viscosity from the standard value of ζmax=(2.5×108s)P to ζmax=(1013s)P, and to use a solver for the momentum equation capable of correctly solving for small ice velocities (the limit here is set to 10−4 m/s). Given these modifications, a necessary condition for a realistic fast‐ice simulation is that the yield curve give sufficient uniaxial compressive strength. This is consistent with the idea that land‐fast ice in the Kara Sea forms primarily via static arching. The modified model is tested and tuned using forcing data and observations from 1997 and 1998. The results show that it is possible to model land‐fast ice using this model with the modifications mentioned above. The model performs well in terms of modeled fast‐ice extent, but suffers from unrealistic break‐ups during the start and end of the fast‐ice season. The main results are that fast ice in the Kara Sea is supported by arching of the ice, the arches footers resting on a chain of islands off shore.

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Improving the simulation of landfast ice by combining tensile strength and a parameterization for grounded ridges

et al. 2016

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In some coastal regions of the Arctic Ocean, grounded ice ridges contribute to stabilizing and maintaining a landfast ice cover. Recently, a grounding scheme representing this effect on sea ice dynamics was introduced and tested in a viscous‐plastic sea ice model. This grounding scheme, based on a basal stress parameterization, improves the simulation of landfast ice in many regions such as in the East Siberian Sea, the Laptev Sea, and along the coast of Alaska. Nevertheless, in some regions like the Kara Sea, the area of landfast ice is systematically underestimated. This indicates that another mechanism such as ice arching is at play for maintaining the ice cover fast. To address this problem, the combination of the basal stress parameterization and tensile strength is investigated using a 0.25° Pan‐Arctic CICE‐NEMO configuration. Both uniaxial and isotropic tensile strengths notably improve the simulation of landfast ice in the Kara Sea but also in the Laptev Sea. However, the simulated landfast ice season for the Kara Sea is too short compared to observations. This is especially obvious for the onset of the landfast ice season which systematically occurs later in the model and with a slower build up. This suggests that improvements to the sea ice thermodynamics could reduce these discrepancies with the data.

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On modeling the anisotropic failure and flow of flawed sea ice

Cited by 121 publications

References 35 publications

Continuum sea ice rheology determined from subcontinuum mechanics

Continuum sea ice rheology determined from subcontinuum mechanics

A dynamical model of Kara Sea land‐fast ice

Improving the simulation of landfast ice by combining tensile strength and a parameterization for grounded ridges

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