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

More documents

Recommendations

Info

It is readily seen that when body forces are nonzero ($1 # 0, $2 # 0) the equations are far more complicated than when body forces are absent. For the statically determinant case we would probably assume that the material is at rest so that only the applied air stress is contained in f1 and $2. However, if we also consider a nonzero velocity field, then $1 and $2 contain contributions from water drag, Coriolis force, and strength gradients given by equation (30). We now return to the governing equations along velocity characteristics (79), and follow an analogous development. Expansion into components and use of the new notation provide two simple governing equations: where the roots are - sin 2y i d i g - 1-11 B’ + cos 2y (94) These equations are seen to be homogeneous and coefficeints are less complex than the stress characteristic equations. However, the directions 1-1, depend on the stress state through both y and B’ and so the difficulties of determining stress cannot be eliminated. An important physical property of the velocity field is that no stretching occurs along velocity characteristic curves. To demonstrate this property for the AIDJEX plastic model shown for classical plastic models by Hill (1950), Martin (1975), and others, consider the requirement that at a point there be no stretching in an arbitrarily chosen direction given by unit vector - where @ indicates the counterclockwise angle between n and the x-axis. If there is no stretching along this direction, n remains a unit vector and 142
The material time rate of change of equation (96) provides m (97) where we have used the fact that the material time value of change of 5 is . n = & g (98) In components, equation (97) becomes 2 D cos 4 + 2Dxr cos 4 sin 4 + D sin2 4 = 0 xx YY (99) The Cartesian components of the stretching tensor may be expressed in terms of invariants DI and D and the principal direction y [see equations II (14-16) for similar expressions for the stress tensor]: 2 D =--- D1 D1l cos 2y YY 2 2 Substituting these expressions into equation (99) and using the formula for the cosine of the difference of two angles provides DI + DII COS 2(@ - y) = 0 But the ratio of shearing to dilating is -- DII - tan 0 DI (11 bis) Rearranging to find the inverse provides tan(0 - ~ /2) DI = - - DII 143
Page 2 and 3:
DATA BUOYS AIDJEX BULLETIN No. 40 J
Page 4 and 5:
NOTE TO FRIENDS, AND BYSTANDERS . .
Page 6 and 7:
SUMMARY OF TECHNICAL DEVELOPMENTS I
Page 8 and 9:
milestones, kept the vendor working
Page 10 and 11:
The scene during deployment of HF-N
Page 12 and 13:
The initial AIDJEX scientific plan
Page 14 and 15:
poizr-orbiting satellite, which is
Page 16 and 17:
t@ the spacecraft during each orbit
Page 18 and 19:
BUOY NAHE COMMUN. COMMANDS FIXES TA
Page 20 and 21:
L( 0 I 2 3 4 3 Radial error, kilome
Page 22 and 23:
The buoy will be subjected to tempe
Page 24 and 25:
nics occupy about 12 feet of the 17
Page 26 and 27:
Ill -- - KEY AIUJEX WIN WW AEBa 0 4
Page 28 and 29:
event that a melt pond should form
Page 30 and 31:
chute supplied by Paranetics Inc. i
Page 32 and 33:
6'" IqORGANIC LITHIUM BP.TTEI?Y IMP
Page 34 and 35:
OM (AD RAMS) UREMEN~ \ AIRDROP N m
Page 36 and 37:
provides a grid from which geostrop
Page 38 and 39:
words; a four-bit air temperature w
Page 40 and 41:
PERFORMANCE OF MET/OCEAN BUOYS IN A
Page 42 and 43:
Sensor samples were taken every thr
Page 44 and 45:
strengths are known, were used with
Page 46 and 47:
the ice (causing reduced shear). An
Page 48 and 49:
(McPhee, Mangum, and Martin) , TABL
Page 50 and 51:
70°N 75'N n 3 P 17OOW (D Y 170°W
Page 52 and 53:
12OOW * U Station 25. Xeasurements
Page 54 and 55:
(McPhee , Mangum, and Martin) 2701
Page 56 and 57:
(McPhee, Mangum, and Martin) a 0 a
Page 58 and 59:
"i BUOY 4 I 43 360- 309- 257 206 15
Page 60 and 61:
a30gl 251 I 60 511 r 43 BUOY 4 I
Page 62 and 63:
n 4, (McPhee, Mangum, and Martin) 8
Page 64 and 65:
(McPhee, Mangum, and Martin) 33 W c
Page 66 and 67:
. '-,..I.. . B A R R O W W I N D S
Page 68 and 69:
:
Page 70 and 71:
I 25 23 t h--:!li[ NCI PiHCEl4l 22
Page 72 and 73:
.5 .4 .3 0 A R 2 R 0 W J - 0 B U -
Page 74 and 75:
9 1.5 1.0 c 8 w .5 R 930 $ 565 1000
Page 76 and 77:
Clock corrections were applied rout
Page 78 and 79:
Q) u o z z i 4- 4- Z + + z f n 9 Ef
Page 80 and 81:
TABLE 1 DIFFERENCES IN DAILY TEMPER
Page 82 and 83:
Laboratory calibration of the ADRAM
Page 84 and 85:
3.20- - 1 t W o? 2 3.051 ...:-.;..
Page 86 and 87:
POSITION MEASUREMENTS OF AIDJEX MAN
Page 88 and 89:
some redundancy. Four points were u
Page 90 and 91:
75.5 75.: - E75.1 LLI % y75.c - 1 1
Page 92 and 93:
The translocation principle removes
Page 94 and 95: POSITION ACCURACY To evaluate the q
Page 96 and 97: TABLE 1 STAND-ALONE ACCURACY 68th P
Page 98 and 99: Az i mu t h s When both receivers a
Page 100 and 101: DATA PROCESSING Following the field
Page 102 and 103: model ice motion in the statistical
Page 104 and 105: FREC 1 INCY / DOPPLER / FREQUENCY /
Page 106 and 107: 35 30 25 v) > 0 2 20 LL 0 r= E m 15
Page 108 and 109: An example of a large-scale buoy ar
Page 110 and 111: observations are needed in remote a
Page 112 and 113: useful for determining how various
Page 114 and 115: as well as velocity fields, we must
Page 116 and 117: Since small changes in the yield su
Page 118 and 119: The transformation of the system of
Page 120 and 121: e able to judge how well such a mod
Page 122 and 123: then the flow rule becomes Q = +A -
Page 124 and 125: [-B' -F Finally, we eliminate Carte
Page 126 and 127: differential equation. 2. Discontin
Page 128 and 129: Substituting (36) and (37) into (34
Page 130 and 131: arbitrarily assign the values of 1
Page 132 and 133: The special case when advection can
Page 134 and 135: TABLE 1 STRETCHING, STRESS, ASP CHA
Page 136 and 137: ate of deformation, we have normali
Page 138 and 139: CHARACTERISTIC EQUATIONS The ordina
Page 140 and 141: One way to circumvent the problems
Page 142 and 143: The equations governing solutions a
Page 146 and 147: which may be substituted into equat
Page 148 and 149: a the stress derivative dCldS remai
Page 150 and 151: Although we have not studied in thi
Page 152 and 153: Courant, R., and D. Hilbert. 1962.
Page 154 and 155: A RESEARCH PLAN TO TEST THE AIDJEX
Page 156 and 157: the barges managed to reach their d
Page 158 and 159: APPROACH A baseline simulation 0-f
Page 160 and 161: SENSITIVITY OF ICE RESPONSE TO DIFF
Page 162 and 163: Since free drift of ice is computed
Page 164 and 165: and what is observed becomes less i
Page 166 and 167: stresses appear to be relatively un
Page 168 and 169: ehavior is directly related to accu
Page 170 and 171: TABLE 1 COMPARISON OF ESTIMATED ERR
Page 172 and 173: a) Base line b) 24-hour prediction
Page 174 and 175: \ / a) Base line b) 24- hour predi
Page 176 and 177: a) Base line b) 24- hour predi ct i
Page 180 and 181: \ / a) Base line b) 24-hour predict
Page 182 and 183: .. a) Base line b) 24- hour predict
Page 184 and 185: J2 a) Base line b) 24-hour predicti
Page 186 and 187: ) 24-hour prediction c) 36-hour pre
Page 190 and 191: 8 Figure 17. AIDJEX surface pressur
Page 192 and 193: APPENDIX 1 AIDJEX DATA FILES 1. Pos
Page 194 and 195:
9A. Surface-1 eve1 ai r pressure (d
Page 196 and 197:
19. Surface pressure (Val i dated)
Page 198 and 199:
APPENDIX 2 AIDJEX DATA TRANSFERRED
Page 200 and 201:
I -7-71327GEO A Cards (continued) 7
Page 202:
B Cards (continued) 201
show all

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

Create successful ePaper yourself

Delete template?

Save as template?