Hostname: page-component-76d6cb85b7-5qg8f Total loading time: 0 Render date: 2026-07-24T10:24:38.844Z Has data issue: false hasContentIssue false

The localization of strain and c-axis evolution in anisotropic ice

Published online by Cambridge University Press:  08 September 2017

Christopher J. L. Wilson
Affiliation:
School of Earth Sciences, University of Melbourne, Parkville, Victoria 3010, Australia E-mail: cjlw@unimelb.edu.au
Hadi M. Sim
Affiliation:
School of Earth Sciences, University of Melbourne, Parkville, Victoria 3010, Australia E-mail: cjlw@unimelb.edu.au
Rights & Permissions [Opens in a new window]

Abstract

Using a series of combined compression–simple-shear experiments, it has been possible to investigate strain distributions and crystal-orientation fabrics related to varying layer orientation in ice. A variety of flattening strains accompanied by layer buckling, simple shear and the development of a lenticular layering are produced in anisotropic ice masses. In samples where the creep curve has only just reached a minimum strain rate, the c-axis preferred orientation is similar to that in the starting material, with specific c-axis concentrations affected by the extent of preserved host grains. At shear strains where γ ≤ 1, it was found that the c-axis preferred orientations were highly variable depending on the magnitude of strain, strain distribution and upon the modification and degree of rotation of initial c-axis preferred orientation. However, once recrystallization dominates in high-strain zones (γ ≥ 1), there is a rapid development of an asymmetric two-maxima fabric with little evidence of any contributions from inherited fabric elements. The final c-axis pattern is asymmetric with respect to the direction of shortening, with a strong maximum at ∼80° to the shear zone, with a sense of asymmetry in the direction of the shear, and a secondary maximum lying at ∼50° to the plane of shearing.

Information

Type
Research Article
Copyright
Copyright © International Glaciological Society 2002
Figure 0

Table 1. Plane-strain compression experiments undertaken at −1°C. Compressive stress (σ), shortening % (ε1) and bulk strain rate

Figure 1

Table 2. Summary of combined compression and shear experiments undertaken at −2°C with a compressive stress of 0.22 MPa and shear stress of 0.4 MPa. Bulk shortening % (ε1), shear strain (γ), minimum strain rate in compression and final strain rate

Figure 2

Fig 1. Structural changes associated with deformation of the layered ice at −1°C. (a) Thick section, parallel to x1x3, of experiment 1-13 in plane polarized light, showing the nature of the initial layers and deformation of initially circular strain markers. The initial layering was gently inclined to the x2x3 plane but rotated 15° about the x2 axis. (b) Thin section between crossed polarizers of experiment 1-13, showing undeformed regions and three areas (A–C) where deformation and significant recrystallization has occurred. (c) Thick section (1 mm) parallel to x1x3, of experiment 1-21 in plane polarized light, showing buckled layering and distribution of strain as identified by the deformation of a set of initially circular strain markers. The initial layering was parallel to x2x3. (d) Thick x1x3 section of experiment 1-19 in plane polarized light, showing the initial layers and deformation of initially circular strain markers. (e) x1x3 section of experiment1-19, between crossed polarizers, with substantial recrystallization occurring in regions of higher strain.

Figure 3

Fig. 2. Finite strain in experiments 1-21 and 1-19. (a) Deformation grid and contour plots of Rf after 10% shortening (ε1) in experiment 1-21, determined from the strain markers seen in Figure 1c. Rf is ≥1 (undeformed state) (b) Grid deformed a further 4% showing how strain continues to be localized in the initial zone of shearing (c) Displacement vectors of markers after 10% bulk shortening in experiment 1-19, and contour plots of shear strain. (d) Deformation grid and contour plots of Rf after 30% bulk shortening established from using the strain markers seen in Figure 1d. (e) Grid deformed a further 3%, showing how strain continues to be localized in the initial zone of shearing.

Figure 4

Fig. 3. Experiments 2-27, 2-29, 2-32 and 2-36. (a) Initial sample configuration with the compression (parallel to x1) applied to the upper surface and simultaneous simple shear parallel to x3. (b) Stage 1 samples have not reached minimum strain rates. The black diamond indicates where the sample was taken for thin-section examination. (c) The colour code showing the relative azimuth and plunge of the pixel distribution across a thin section that relates to the c-axis orientation. (d) Microstructure in experiment 2-27, illustrated as axial-distribution diagram. The shear strain (γ) and shortening (ε) for the experiment is shown below micrograph (on lower left corner). The lower-hemisphere equal-area projection shows the volume distribution of c axes measured at a uniform spacing across a horizontal (H) section through the centre of the sample. The histogram provides a quantitative measure of the c-axes characteristics. The curve (indicated by solid line) drawn along with the histogram represents a theoretical random crystal orientation. (e) Samples where the strain rate has increased to a tertiary creep value (stage 2). (f, g) Microstructures and c-axis distributions in horizontal sections.

Figure 5

Fig 4. Experiments 2-40 and 2-41 with layering initially parallel to the x1x2 plane, (a) Initial sample configuration, (b) Deformation creep curves for experiments. (c–f) The microstructures illustrated in axial distribution diagrams (colour code is the same as in Figure 3c and corresponds to the azimuths in the stenographic projections). The greatest degree of recrystallization occurs in zone 3, with zone 1 containing a high proportion of undeformed host grains. The corresponding lower-hemisphere equal-area projections show the distributions of c axes measured in horizontal (H) and vertical (V) sections through the centre of the deformed sample. The histograms show the deviation of the c axes from a random c-axis distribution.

Figure 6

Fig. 5. Experiments 2-43 and 2-44 with layering initially inclined 20° to the x1x2 plane. (a–f) are explained in Figure 4 caption.

Figure 7

Fig. 6. Lower-hemisphere equal-area projection showing the distributions of c axes, and the corresponding neighbour-pair and random-pair misorientation distributions between adjacent grains measured in a horizontal (H) section within zone 3 of deformed samples 2-27 (a), 2-32 (b), 2-36 (c) and 2-43 (d).