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Mechanical Properties of Antarctic Deep-Core Ice

Published online by Cambridge University Press:  30 January 2017

H. Shoji
Affiliation:
Department of Applied Physics, Faculty of Engineering, Hokkaido University, Sapporo, 060, Japan
A. Higashi
Affiliation:
Department of Applied Physics, Faculty of Engineering, Hokkaido University, Sapporo, 060, Japan
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Abstract

Tensile tests were carried out with core-ice samples obtained from various depths at Byrd Station, Antarctica in 1968, Specimens for the tests were so prepared as to have their long axes parallel (L specimen), perpendicular (T specimen), and inclined at 450 (I specimen) with respect to the axis of the core, or to the vertical direction of the ice sheet. Stress-strain relations for many specimens were obtained from tensile tests with different strain-rates and also at different temperatures between —10 and — 20°C.

Type
Abstracts of Papers Presented at the Symposium but not Published in Full in this volume
Copyright
Copyright © International Glaciological Society 1979

The stress-strain curves generally exhibited a type of stress saturation. This is different from that for either basal or non-basal glide of single crystals of ice, with which a large yield drop or strain-hardening effect were observed respectively. The saturated value of the stress on the curves was considered as the maximum stress or the yield value. The relationship between the strain-rate Ė and the maximum stress σ was expressed as

This relationship can be drawn as a straight line with inclination n on a log-log plot and the softness or the degree of deformability is expressed by the value of A or by the level of strain-rate on the line at the same stress level. Although there was not much difference between L and T specimens as regards the softness for a sample from relatively shallow depth, which exhibited no strong preferred orientation of c-axes, there appear significant differences among T and L specimens with a sample of moderately oriented c-axes from deeper depth: the L specimens are easier to deform than the T specimens. And for samples of very strong preferred orientation (a single maximum in the fabric diagram), the I specimen deforms much easier than the L and T by one or two orders of magnitude of ἐ at the same stress level, in addition to the same tendency between the L and T as stated above. These results are well interpreted by the feasibility of basal glide in polycrystalline aggregates with respect to the preferred orientations in ice specimens.

Our recent experiments on the deformation behaviour under hydrostatic pressure (up to 300 atmospheres) with Antarctic deep-core ice revealed that the strain-rate decreases with increasing pressure while the fracture stress increases. This tendency must be caused by the reduction of mobile dislocations in ice crystals due to closure of cracks. It is already known that a high density of dislocations around the cracks should give rise to the production of efficient sources of mobile dislocations. This explains the softening effect in ice which contains many cracks.

The mechanical properties of the core ice with strong preferred orientation obtained above were applied to gain an understanding of the results of measurements of bore-hole tilting at Byrd Station obtained by Reference Garfield and UedaGarfield and Ueda (1976). The velocity profile was calculated on the assumption of laminar flow, with estimated shear stresses under Byrd Station and an activation energy 66 kJ/mol for considering the temperature effect. For the upper half of ice sheet (< 1 200 m), our predicted velocity agreed well with the relative velocity component in the direction S. 40° W. obtained by Reference WhillansWhillans (1977). However, for the lower part of ice sheet, the velocity predicted without considering the effect of hydrostatic pressure on the strain-rate is much higher than that found by Whillans. If we use results in which the effect of hydrostatic pressure is considered, then the predicted velocity is lower than that by Whillans at middle depths (1 200-1 500 m). To explain the large difference between the value of the velocity at the bottom extrapolated from our estimated profile of velocities and the real bottom velocity estimated from the surface velocity at Byrd Station measured by repeated Doppler satellite fixes, it seems necessary to consider the possibility of basal sliding. This may be not unreasonable, because the existence of water layer at the bed is proved by water flooding into the hole to a height of approximately 50 m above the bed when the bore hole was drilled.

Discussion

W. F. Budd : Your experiments were in uniaxial compression whereas the in situ ice seems to have been in horizontal shear. Do you think your tests can simulate the in situ deformation adequately?

H. Shoji: The specimens were so prepared as to have their long axes inclined 45o against the axis of the core. Then the horizontal plane of the core has maximum shear stress in the specimen. So, I think our tests can simulate the in situ deformation adequately.

D. R. Homer : What were the dimensions of your specimens ? Reference Weertman, Whalley, Whalley, Jones and GoldWeertman (1973) has suggested that specimens should be ten grain diameters across for mechanical testing. Are your results really representative of the core ice's mechanical properties ?

Shoji: The dimensions of the specimens are 2×2×8 cm3. The grain size is about 5 mm. With specimens which have random orientation fabrics, size effect of the specimen cannot be neglected, but with specimens which have strong preferred orientation fabrics, the size effect is not so sensitive. So, I think our results can be representative of the ice core.

T. J. Hughes: Did you have rigid or free sliding conditions at the compression heads of the ice specimens you deformed in uniaxial compression? This is important for compressing ice with c-axes of crystals mostly at 45o to the compression axis. Shear stresses will be created across the heads for rigid conditions. For free conditions, non-homogeneous slip in the possible slip zone may increase the shear stress resolved along the 45o planes of easy glide.

Shoji: We had the rigid condition on one compression head and the free condition on the other, so there were no shear stresses across the heads. Some specimens did have non-homogeneous slip along the 45o planes, but we used data only for specimens having homogeneous slip.

J. W. Glen: Did you observe any anisotropy of transverse strain? With a 45° orientation of a strong c-axis fabric one might expect transverse strain to be zero in the direction where basal planes intersect the normal to the compression axis.

Shoji: I did not observe this precisely, but some specimens showed such an anisotropy after large total deformation (e.g. 30% strain).

References

References

Garfield, D. E., and Ueda, H. T. 1976. Resurvey of the "Byrd" Station, Antarctica, drill hole. Journal of Glaciology, Vol. 17, No. 75, p. 2934. sGoogle Scholar
Whillans, I. M. 1977. The equation of continuity and its application to the ice sheet near “Byrd” Station, Antarctica. Journal of Glaciology, Vol. 18, No. 80, p. 359–71.Google Scholar

Reference

Weertman, J. 1973. Creep of ice. (In, Whalley, E., and others, ed. Physics and chemistry of ice: papers presented at the Symposium on the Physics and Chemistry of Ice, held in Ottawa, Canada, 14-18 August 1972. Edited by Whalley, E., Jones, S. J., Gold, L. W.. Ottawa, Royal Society of Canada, p. 320–27.)Google Scholar