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143-156 - International Glaciological Society

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JO URNAL OF GLACIOLOGY<br />

In our case, h = 0.12 m and wh = 1.4. Finally,<br />

u = [U+ Uaw2z exp (-wz) cos wx] + Uaw(0.727 cosh wz-o.716wz sinh wz) cos wX }<br />

W = [- Uaw( 1+ wz) exp ( - wz) sin wx] + Uaw( 1.443 sinh wz-o. 716wz cosh wz) sin wx,<br />

the terms in square brackets are the solution for h = 00. With a uniform velocity at a finite distance the modification<br />

is not negligible, in particular, against the "bedrock" the forward velocity u increases over the bump. The<br />

normal stress at is calculated as<br />

aUt ( a'u a2U)<br />

Tz = -1/ 3 aX2 + aZ2 .<br />

(A-3)<br />

It yields<br />

at = [-Pi + 2TJUaw2( 1+ wz) exp (- wz) sin wx] +<br />

+ 2TJUaw'(1.443 cosh wz-o.716wz sinh wz) sin wz,<br />

o 0<br />

au dx<br />

·<br />

[ 8<br />

] ·<br />

= az U = -0.471 aw Sin wz ->/, = -0.080,<br />

-T/2 -AI.<br />

J au d<br />

t<br />

az I<br />

o<br />

aw<br />

J<br />

[WJ"<br />

ax dt = 7J -,,,<br />

- Tt2<br />

= [ -0.378 65aw sin wx]w = -0.054.<br />

REFERENCES<br />

Brepson, R. 1966. Premiers resullats obtenus avec le viscosimetre a glace de Grenoble. Comptes Rmdus Hebdomadaires<br />

des Seances de l'Academie des Scietlces (Paris), Ser. B, Tom. 263, No. 15, p. 876-79.<br />

Duval, P. 1976. Fluage et recristallisation des glaces polycristallines. Publication du Laboratoire de Glaciologie du<br />

CNRS, GrClloble, No. 215.<br />

Duval, P. [1977.] Lois du fluage transitoire ou permanent de la glace polycristalline pour divers etats de contrainte.<br />

All/wles de Geophysique, Tom. 32, No. 4, 1976, p. 335-50.<br />

Duval, P. In press. Creep and fabrics of temperate polycrystalline ice under shear and compression. Journal oJ<br />

Glaciology.<br />

Kamb, "v. B. 1970. Sliding motion of glaciers: theory and observation. Reviews of Geophysics and Space Physics,<br />

Vol. 8, No. 4, p. 673-728.<br />

Lliboutry, L. A. 1968. General theory of subglacial cavitation and sliding of temperate glaciers. Journal of<br />

Glaciology, Vol. 7, No. 49, p. 21-58.<br />

Lliboutry, L. A. 1975. Loi de glissemcnt d'un glacier sans cavitation. AII/wles de Geophysique, Tom. 31, No. 2,<br />

p. 207-25.<br />

Merrill, W. M. 1960. Structures in glacier ice, north ice cap, northwest Greenland. Report of the <strong>International</strong><br />

Geological Congress, XXI Session, Norden, 1960, Pt. 2 I, p. 68-80.<br />

Michel, B. 1978. A mechanical model of creep of polycrystalline ice. Calladiall Geotec/mical Joumal, Vol. 15,<br />

No. 2, p. 155-70.<br />

Nye, J. F. 1969. A calculation on the sliding of ice over a wavy surface using a Newtonian viscous approximation.<br />

Proceedings of the Royal <strong>Society</strong> of London, Set". A, Vol. 311, No. 1506, p. 445-67.<br />

Rigsby, G. P. 1960. Crystal orientation in glacier and in experimentally deformed ice. Joumal of Glaciology,<br />

Vol. 3, No. 27, p. 589-606.<br />

Souchez, R. A., and others. 1978. Pressure-melting within a glacier indicated by the chemistry of re-gelation ice,<br />

[by] R. [A.] Souchez, M. [M.] Lemmens, R. [D.] Lorrain, J.-L. Tison. Nature, Vol. 273, No. 5662, p. 454-56.<br />

Vallon, M., and others. 1976. Study of an ice core to the bedrock in the accumulation zone of an Alpine glacier,<br />

by M. Vallon, J.-R. Petit, and B. Fabre. Journal of Glaciology, Vol. 17, No. 75, p. 13-28.<br />

(A-2)<br />

(A-4)

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