New constitutive equations for the teardrop and parabolic lens yield curves in viscous-plastic sea ice models

Ringeisen, Damien; Lösch, Martin; Tremblay, Bruno

doi:10.1002/essoar.10510575.1

Cited by 2 publications

(8 citation statements)

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“…We outline a new method to derive the shape of the yield curve/plastic potential from the shape of the intersection angles PDF. The resulting shape agrees well with the shape of the teardrop yield curve (Zhang and Rothrock, 2005;Ringeisen et al, 2022), the Mohr-Coulomb curve (Ip et al, 1991), and to a lesser extent, the Curved Diamond (Wang, 2007). We conclude that the popularly used elliptical yield (Hibler, 1979) is not backed by our observations.…”

Section: Discussionsupporting

confidence: 86%

“…Using the alonglead vorticity, we do not need to make this assumption. The shape resulting from our analysis is similar to a teardrop shape (Rothrock, 1975;Zhang and Rothrock, 2005;Ringeisen et al, 2022), a Mohr-Coulomb shape (Ip et al, 1991), or to a lesser extent, a Curved Diamond (Wang, 2007). In contrast, the shape we obtain does not fit the elliptical shape (Hibler, 1979) or the Parabolic Lens shape (Zhang and Rothrock, 2005).…”

Section: Discussionsupporting

confidence: 48%

“…The estimation of the obtained curves for the RGPS and MOSAiC dataset resemble a teardrop yield curve (Zhang and Rothrock, 2005;Rothrock, 1975;Ringeisen et al, 2022), a Mohr-Coulomb yield curve (Ip et al, 1991), or (to a lesser extent) the curved diamond yield curve (Wang, 2007), but clearly deviate from the elliptical yield curve (see Appendix B). For comparison, we added a teardrop, a Mohr-Coulomb, and a curved diamond yield curve in Fig.…”

Section: Estimation Of the Shape Of A Yield Curve Or A Plastic Potentialmentioning

confidence: 91%

“…There are indications that the plastic potential could be responsible (Ringeisen et al, 2021). To reconstruct these curves from (Tremblay and Mysak, 1997), a teardrop shape (Zhang and Rothrock, 2005;Ringeisen et al, 2022), and a curved diamond (Wang, 2007), respectively, for comparison. For the Mohr-Coulomb yield curve, the slope is µ = 0.75, as derived in Sec.…”

Section: Estimation Of the Shape Of A Yield Curve Or A Plastic Potentialmentioning

confidence: 99%

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Deformation lines in Arctic sea ice: intersection angles distribution and mechanical properties

Ringeisen

Hutter

Albedyll

2022

Preprint

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Abstract. In Arctic sea ice, the intersection angles between Linear Kinematic Features (LKFs) are linked to the internal mechanical properties. Sea ice rheological models struggle to reproduce the intersection angles between LKFs in Arctic sea ice. We aim to obtain an intersection angle distribution (IAD) from observational data to serve as a reference for high-resolution sea ice models and to infer the mechanical properties of the sea ice cover. We use the sea ice vorticity to discriminate between acute and obtuse LKFs intersection angles within two sea ice deformation datasets: the RGPS and a new dataset from the MOSAiC drift experiment. Acute angles dominate the IAD, with single peaks at 48º ± 2 and 45º ± 7. The IAD agrees well between both datasets, despite the difference in scale, time periods, and geographical location. The divergence and shear rates of the LKFs also have the same distribution. The dilatancy angle (the ratio of shear and divergence) is not correlated with the intersection angle. Using the IAD, we infer an internal angle of friction in sea ice of µI= 0.66 ± 0.02 and µI= 0.75 ± 0.05. The shape of the yield curve or the plastic potential derived from the observed IAD resembles the teardrop or a Mohr–Coulomb shape. With those new insights, sea ice rheologies used in models can be adapted or re-designed to improve the representation of sea-ice dynamics.

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Section: Discussionsupporting

confidence: 86%

Section: Discussionsupporting

confidence: 48%

Section: Estimation Of the Shape Of A Yield Curve Or A Plastic Potentialmentioning

confidence: 91%

Section: Estimation Of the Shape Of A Yield Curve Or A Plastic Potentialmentioning

confidence: 99%

See 2 more Smart Citations

Deformation lines in Arctic sea ice: intersection angles distribution and mechanical properties

Ringeisen

Hutter

Albedyll

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The estimations of the obtained curves for the RGPS and MOSAiC datasets resemble a teardrop yield curve (Zhang and Rothrock, 2005;Rothrock, 1975;Ringeisen et al, 2022), a Mohr-Coulomb yield curve (Ip et al, 1991), or (to a lesser extent) the curved diamond yield curve (Wang, 2007), but they clearly deviate from the elliptical yield curve (see Appendix B). For comparison, we added a teardrop, a Mohr-Coulomb, and a curved diamond yield curve in Fig.…”

Section: Estimation Of the Shape Of A Yield Curve Or A Plastic Potentialmentioning

confidence: 95%

Deformation lines in Arctic sea ice: intersection angle distribution and mechanical properties

Ringeisen,

Hutter,

von Albedyll

2023

The Cryosphere

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Abstract. Despite its relevance for the Arctic climate and ecosystem, modeling sea-ice deformation, i.e., the opening, shearing, and ridging of sea ice, along linear kinematic features (LKFs) remains challenging, as the mechanical properties of sea ice are not yet fully understood. The intersection angles between LKFs provide valuable information on the internal mechanical properties, as they are linked to them. Currently, the LKFs emerging from sea-ice rheological models do not reproduce the observed LKF intersection angles, pointing to a gap in the model physics. We aim to obtain an intersection angle distribution (IAD) from observational data to serve as a reference for high-resolution sea-ice models and to infer the mechanical properties of the sea-ice cover. We use the sea-ice vorticity to discriminate between acute and obtuse LKF intersection angles within two sea-ice deformation datasets: the RADARSAT Geophysical Processor System (RGPS) and a new dataset from the Multidisciplinary drifting Observatory for the Study of Arctic Climate (MOSAiC) drift experiment. Acute angles dominate the IAD, with single peaks at 48∘±2 and 45∘±7. The IAD agrees well between both datasets, despite the difference in scale, time period, and geographical location. The divergence and shear rates of the LKFs also have the same distribution. The dilatancy angle (the ratio of shear and divergence) is not correlated with the intersection angle. Using the IAD, we infer two important mechanical properties of the sea ice: we found an internal angle of friction in sea ice of μI=0.66±0.02 and μI=0.75±0.05. The shape of the yield curve or the plastic potential derived from the observed IAD resembles a teardrop or a Mohr–Coulomb shape. With these new insights, sea-ice rheologies used in models can be adapted or redesigned to improve the representation of sea-ice deformation.

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New constitutive equations for the teardrop and parabolic lens yield curves in viscous-plastic sea ice models

Cited by 2 publications

References 0 publications

Deformation lines in Arctic sea ice: intersection angles distribution and mechanical properties

Deformation lines in Arctic sea ice: intersection angles distribution and mechanical properties

Deformation lines in Arctic sea ice: intersection angle distribution and mechanical properties

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