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Annual Report 2016

SAMCoT

During 2016, PhD candidate Åse Ervik finished analyzing

the data on ice ridge measurements carried out during

the N-ICE2015 expedition. By the end of 2016, Ervik and

co-authors submitted two journal papers for review.

Ervik studied the development of the rubble ma-

cro-porosity and the strength of the consolidated layer.

The key findings were that the rubble macro-porosity

continuously decreased, while the consolidated layer

thickness increased, during the lifetime of a saline ridge.

The strength of the consolidated layer decreased until

the ice reached an isothermal state, after which the

strength remained constant even when the brine volume

increased. Additionally, the decaying ice exhibited ductile

behaviour. The implication of these results to structures

in icy waters, is that decaying ridges could cause severe

loads even if the ice strength is low when compared to

cold ice. The combined effect of both ductile ice and a

PROPERTIES OF DECAYING ARCTIC RIDGES AND MODELLING OF CONSOLIDATED ICE

Numerical modelling of ice crushing. Simulation result of

a large deformation continuous ice crushing experiment

conducted in Svea 2003 (Moslet et al. 2004). A symmetric

boundary condition was used to simulate one half of the

cylinder and ice sheet. The white cylinder was considered

fixed and rigid. The colours represent the Von Mises stress

distribution, where the red colour shows the maximum

stress and the blue is the minimum.

CONTINUUM MODELLING OF ICE RUBBLE

During 2016, Sergey Kulyakhtin studied the behavior of

unconsolidated ice rubble. The role and behavior of ice

rubble is very important in scenarios where ice ridges

interact with both fixed and floating structures.

The consolidated part of an ice ridge is much stronger

than the unconsolidated part, which is called ice rubble.

The ice rubble, though weaker, can be 20 times larger

and can therefore produce a significant load. Due to the

large size of the ice rubble, its total load is difficult to

measure. However, basin-scale measurements can be

used to validate numerical models which can provide

information for larger scale scenarios. Hence, the

importance of numerical models.

When ice rubble interacts with a structure ice fragments

within the ice rubble can break. This complex behavior

is difficult to incorporate into discrete models. Kulyakh-

tin used a continuum model, developed in WP2, to study

the effect of ice breakage in ice rubble. He studied and

modelled the process of ice rubble-structure interaction

comparing his results to measurements obtained in

lab experiments performed at the Hamburg Ship Model

Basin during the RITAS project in 2012.

The most interesting result from the model predictions

was that the amount of ice breakage in ice rubble

had only a minor effect on the resulting load. Hence,

the hardening of ice rubble due to breakage does not

increase the load from floating ice rubble. This could

be not the case if the ice rubble were grounded. In

contrast, the accumulation of ice rubble appeared to be

the decisive factor for the rubble load. The results of the

study are described in a paper submitted to the Journal

of Cold Regions Science and Technology.

In addition, Kulyakhtin continued his study on the

uncertainties involved in approximating ice rubble by

continuum models in collaboration with Arttu Polojärvi

from Aalto University. They quantified the error involved

in using the stress tensor instead of contact forces

between blocks. This error is due to non-uniform force

distribution (force chains) in the ice rubble sample.

Kulyakhtin and Polojärvi also studied the effect of this

error on the angle of internal friction, which is widely

used to characterize ice rubble. When the sample size is

increased from five block lengths to 20 block lengths,

the error in the stress ratio decreases from 31% to

9%. The same increase in the sample size reduces the

error in the internal angle of friction from 12% to 3%.

Further information on the results of this study will be

presented at the POAC17 Conference.

In this plot we can see that the accumulation of ice

rubble in front of the structure in four time instances is as

predicted by the model and measured from the underwater

cameras.

Ice rubble load predicted by the model with different parameter

sets and measured in the ice tank. Here we see that most

of the parameters show only a minor effect on the load. The

strongest effect is seen in Test 6 which corresponds to the

highest ice rubble accumulation.

thick consolidated layer may affect the governing failure

mode and result in severe global forces.

In addition, Ervik worked on modelling the crushing

failure of the consolidated layer. Ervik tested different

numerical formulations and constitutive models for

simulating the process of ice crushing failure against a

vertical fixed structure. The results from these tests will

be presented at the POAC Conference in 2017.