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AIDJEX Bulletin #40 - Polar Science Center - University of Washington

AIDJEX Bulletin #40 - Polar Science Center - University of Washington

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condition is similar in magnitude to 27 January, when the major portion <strong>of</strong><br />

the region was not deforming.<br />

In summary, we find that the deformation field is approximated equally<br />

well by all predictions, and there is good qualitative agreement with the<br />

stretching. It is extremely important to represent the deformation field<br />

well, since it is the stretching tensor that causes mechanical redistribution<br />

<strong>of</strong> the ice state. In the present simulations we have ignored the thickness<br />

distribution for reasons explained in Pritchard et al. (1977). However, it<br />

remains important to approximate the deformations even when a perfectly plastic<br />

model is used; otherwise, we would expect significant changes in the solution<br />

when the thickness distribution is included and the yield strength is determined<br />

as a function <strong>of</strong> the thickness distribution. This statement is not true in<br />

all cases, but it is true in the present conditions, where changes in yield<br />

strength would not have a dominant effect on changing the solution.<br />

In Figures 13-15 a stress tensor field is simulated for the three days <strong>of</strong><br />

interest. All information contained in the stress tensors at each point is<br />

presented. Principal values are shown proportional to line length in the<br />

direction given, so that we are able to identify both principal values and<br />

direction in these field plots. It should be noted that the stress tensor<br />

is quite dependent on details <strong>of</strong> the deformation field and can be extremely<br />

sensitive to certain errors. By the same token, since the stress is constrained<br />

to lie within or on the yield surface, the amount <strong>of</strong> error that can be introduced<br />

to the stress state has a certain maximum. From these two conflicting<br />

ideas we are uncertain how sensitive the stress field will be to the errors<br />

in driving force.<br />

It is seen that the magnitude <strong>of</strong> the principal values and variations<br />

across the field are in general agreement in all cases, a result caused by<br />

the bound introduced by the yield surface. The comparison when the material<br />

is at rest on 27 January and 2 February is quite close. There seems to be no<br />

degradation in any case as prediction times go from 24 to 48 hours. For 30<br />

January the baseline response appears appreciably different on the western<br />

edge from all three predicted values. It is possible that our errors in the<br />

baseline air stress have again caused this deviation. We make this conjecture<br />

primarily because the three predicted fields shown in Figure 14 are so similar.<br />

In any case, in the nearshore regions <strong>of</strong> the Alaskan continental shelf the<br />

164

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