Visco-elastic buckling analysis of floating ice sheets

Sjölind, Stig-Göran

doi:10.1016/0165-232x(85)90048-5

Cited by 12 publications

(4 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The general situation of the slow buckling of a thin floating ice sheet can be treated as that of a visco-elastic medium under axial stress supported by an elastic medium (Sjölind 1985, Sanderson 1988). We lack the necessary material parameters to analyse this situation (in particular the elastic bending stiffness of a thick sheet of snow ice, and information on the creep behaviour of warm and cold snow ice at low strain rates (Weeks 2010, Timco & Weeks 2010)).…”

Section: Discussionmentioning

confidence: 99%

Salinity evolution and mechanical properties of snow-loaded multiyear sea ice near an ice shelf

et al. 2013

View full text Add to dashboard Cite

Sea ice often forms attached to floating ice shelves. Accumulating snow can depress its freeboard, creating a flooded slush layer that may subsequently freeze to form snow ice, rejecting brine as it freezes. The resulting salinity profile determines the mechanical properties of the sea ice. We provide measurements of snow-loaded, multiyear sea ice from summer to winter. Brine from a slush layer is not completely expelled from the sea ice when the slush refreezes to form snow ice. Measurements of sea ice salinity and temperature indicate that the fate of this brine depends on the permeability of the sea ice below it. The sea ice in this study was also deformed by a nearby ice shelf over eleven years at a strain rate _ 5 (-8 ± 3) 3 10 -4 yr -1 (or 3 3 10 -11 s -1). From transects of sea ice thickness and structure we estimate an effective Young's modulus at medium scales for sea ice mostly composed of snow ice of 0.1 GPa , E , 0.4 GPa, suggesting that this eleven year old sea ice cover has similar mechanical properties to warm first year sea ice. This is important for the parameterisations needed to simulate multiyear sea ice in the complex region near an ice shelf.

show abstract

Section: Discussionmentioning

confidence: 99%

Salinity evolution and mechanical properties of snow-loaded multiyear sea ice near an ice shelf

et al. 2013

View full text Add to dashboard Cite

show abstract

“…At the other extreme, in the limit E → ∞ the Maxwell model reduces to a purely viscous fluid. The creep buckling of a viscous plate has been analyzed by Sjolind (1985) and Staroszczyk and Hedzielski (2004) and it is important to understand our results in the context of these earlier studies. The analog of elastic buckling for a viscous plate can be analyzed exactly as above starting with Equation 7 but taking as the rheological model…”

Section: Discussionmentioning

confidence: 99%

“…Post‐buckling amplification and failure is not explicitly modeled but assumed to occur in short order. In the creep buckling studies of Sjolind (1985) and Staroszczyk and Hedzielski (2004) small but finite initial disturbances grow to large amplitude after a few hours assuming the initial linear governing equation remains valid. Neither approach completely solves the problem; to do so requires a nonlinear, large amplitude theory.…”

Section: Discussionmentioning

confidence: 99%

Ice Concentration Scaling Laws for Freshwater Lakes in Numerical Weather and Climate Prediction

Mackay

2023

Geophysical Research Letters

View full text Add to dashboard Cite

If lake ice is assumed to deform and fail as a linear viscoelastic material under the action of wind stress, then a simple ice concentration scaling law can be constructed suitable for one‐dimensional lake models embedded within environmental prediction systems. Most 1‐D lake models assume no ice mechanics at all, while others adapt the viscous‐plastic rheology common in ice‐ocean models for the purpose of estimating ice fraction. Elastic buckling is generally disregarded as a significant failure mechanism in ice under low stress conditions at geophysical scales. However, by adding viscosity to the constitutive equation, the conditions for viscoelastic buckling seem quite plausible over a wide range of lake size and ice thickness. An ice concentration scaling law based on this process is evaluated here in multiannual simulations over North America and found to produce superior ice phenology statistics compared with simulations based on plastic failure or no ice mechanics.

show abstract

“…In the limit case of a thin sheet lying on a liquid surface, it has be shown that the sinusoidal wrinkles appearing close to the buckling threshold (i.e for low confined configurations) spontaneously transform into a localized fold for highly confined configurations 16 . This phenomenon covers a wide range of length scales, spanning from lipid monolayers 17 up to ice pack in the ocean 18 , and may lead to the delamination of the film from the liquid 19 . Audoly 20 has derived an amplitude equation for the envelope of the pattern, explaining the localization of the buckling and relating it to the one on a nonlinear elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Non-symmetric localized fold of a floating sheet

Rivetti

2013

Comptes Rendus. Mécanique

View full text Add to dashboard Cite

An elastic sheet lying on the surface of a liquid, if axially compressed, shows a transition from a smooth sinusoidal pattern to a well localized fold. This wrinkle-to-fold transition is a manifestation of a localized buckling. The symmetric and antisymmetric shapes of the fold have recently been described by Diamant and Witten (2011), who found two exact solutions of the nonlinear equilibrium equations. In this Note, we show that these solutions can be generalized to a continuous family of solutions, which yields non symmetric shapes of the fold. We prove that non symmetric solutions also describe the shape of a soft strip withdrawn from a liquid bath, a physical problem that allows to easily observe portions of non symmetric profiles.Comment: 7 pages, 4 figure

show abstract

Visco-elastic buckling analysis of floating ice sheets

Cited by 12 publications

References 3 publications

Salinity evolution and mechanical properties of snow-loaded multiyear sea ice near an ice shelf

Salinity evolution and mechanical properties of snow-loaded multiyear sea ice near an ice shelf

Ice Concentration Scaling Laws for Freshwater Lakes in Numerical Weather and Climate Prediction

Non-symmetric localized fold of a floating sheet

Contact Info

Product

Resources

About