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

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

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

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The special case when advection can be neglected is considered in a later<br />

sect ion.<br />

In Figure 3 we show graphically the relationship between B (or 8 - n/2)<br />

and K - y. The characteristic direction K appears as the abscissa and yield<br />

curve slope 8 as the ordinate. This implies that, to use the graph, we will<br />

be given K and y and are to find 8.<br />

However, in our analysis it is K that<br />

we seek to determine and that variable depends on 8 and y. The analysis<br />

would dictate that we plot 8 as the abscissa and K as the ordinate. Our<br />

desire to exchange axes is brought about by looking ahead to the use <strong>of</strong> data<br />

to help evaluate the ice model. In that application we anticipate looking<br />

for a relationship between lead patterns and characteristic directions, and<br />

these are the data that will be given. The results presented in Figure 3<br />

then will help us to determine the shape <strong>of</strong> the yield curve.<br />

cs<br />

z<br />

I35<br />

I20<br />

IO5<br />

90<br />

75<br />

60<br />

45<br />

c.r<br />

v)<br />

a,<br />

?! I<br />

L<br />

I<br />

I<br />

I<br />

tanP = cos2 I K - y I<br />

\<br />

3U<br />

I \<br />

Fig. 3. Relationship between slope <strong>of</strong> yield curve B and characteristic<br />

direction K relative to maximum principal stress<br />

direction y.<br />

Several comments must be made about the results given by (51). Similar<br />

comments are relevant for (55). The characteristic direction is given by<br />

130

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