Introduction
Predictions of the mechanical behaviour of ice in high-strain zones rely heavily on a knowledge of the expected type of fabric development in such a dynamic environment. Natural deformation of glaciers that is accomplished by deformation in ductile shear zones is accompanied by grain-size reduction involving intracrystalline slip with recovery to grain-size-insensitive dislocation creep to grain-size-sensitive diffusion creep (Reference Petrenko and WhitworthPetrenko and Whitworth, 1999). In most cases, the reduction in grain-size is achieved by dynamic recrystallization of larger grains that had a pre-existing crystallographic fabric. Dynamic recrystallization may alter the grain-size of materials during deformation by grain-boundary migration or formation of new high-angle boundaries (Reference PoirierPoirier, 1985). However, it has been suggested that initial fabrics influence the way dynamic recrystallization produces the final fabric (Reference Alley, Gow, Meese, Fitzpatrick, Waddington and BolzanAlley and others, 1997; Reference Piazolo and PasschierPiazolo and Passchier, 2002). As large strains are accumulated in these fine-grained regions, there is a question of whether there is any preservation of the initial fabrics and a misorientation distribution between neighbouring grains.
The interpretation of c-axis fabrics in shear zones is usually made with the assumption that there may be an inherited fabric component because we can identify folds in inherited layering, with the accommodation of strain in the microstructure being partitioned by the recrystallization processes. Many authors (e.g.Reference WilsonWilson,1981; Reference Lloyd, Law, Mainprice and WheelerLloyd and others, 1992; Reference Tison, Thorsteinsson, Lorrain and KipfstuhlTison and others, 1994; Reference Thorsteinsson, Kipfstuhl and MillerThorsteinsson and others, 1997) have interpreted such features as representing the persistence of original microstructural domains and lower-shear-strain features to higher shear strains. One cause of the lack of consensus regarding the way in which the role of adjacent grains is inherited from a precursor microstructure may be the lack of clear observational details. In this study, we undertake a two-stage experimental approach to deform a well-defined layered sample (Fig1). In the first stage we deform a sample with layers that are inclined to the bulk shortening and extension axes (Fig. 1a and d), as described by Reference Wilson and SimWilson and Sim (2002), to produce a buckled sample that contains a shear zone. The second stage is to rotate this sample 90° and add two ice wedges (Fig. 1b and e) and re-deform the sample under the same initial axial stress. The reoriented sample is therefore deformed from a mutually opposite direction to produce a variety of folded structures in the layering (Fig. 1c and f). In undertaking such a study we are attempting to replicate the fold development seen in ice sheets (Reference Alley, Gow, Meese, Fitzpatrick, Waddington and BolzanAlley and others, 1997) and glaciers (e.g. Reference Tison, Hubbard, Maltman, Hubbard and HambreyTison and Hubbard, 2000), particularly where a stratified ice mass rotates over a basement irregularity. Typically folds have been noted near the bedrock and are associated with single-maximum c-axis fabrics inclined to the normal of the foliation, or may be accompanied by multiple-maxima fabrics. In this paper, we attempt to illustrate the processes in the transition from an inherited fabric to the final fabric in a shear zone complicated by varying strain distributions in the folded layers. This work will also examine the effect of an initial fabric on the mechanical behaviour of the polycrystalline ice.
Experimental Procedure and Mechanical Behaviour
The tests described here were in a deformation apparatus and under conditions similar to those described by Li and others (1996) and were performed under both constant-load and constant-shear-strain conditions at –2°C. The test apparatus was located inside a freezer box, with the controls and recording system outside it, as described by Li and others (1996). The temperature was controlled by circulating silicon oil around a sample shielded by a film of aluminium foil. Thermistors were placed adjacent to the specimen and at selected sites in the silicon oil bath to record the temperature of the test. The temperature variation was never more than ±0.2°C during the month-long experiments. The ice-test sample was laboratory-prepared, comprising layers (-10 mm wide) of fine ice intergrown with elongate crystals, similar to that described by Wilson (1981). A sample measuring approximately 70 mm x 55 mm x 37 mm is frozen into two support boxes (as illustrated by Li and others, 1996), and the strain is not uniformly distributed, but localized to the centre of the sample (Fig. 2, zone 3). There are also transitional zones where the original layering is progressively rotated (Fig. 2, zone 2), and these are juxtaposed with relatively undeformed boundary zones (Fig. 2, zone 1).
Creep curves for each test are shown in Figure 3. The creep curves are plots of octahedral strain rate as a function of octahedral strain and demonstrate that, under these test conditions, the octahedral strain rates for experiments 2-47, 2-49 and 2-50 (i.e. the strain to the minimum) are very similar. The creep curve for 2-48, by contrast, is not a simple decrease in strain rate but preserves an inflection that may reflect an initial resistance to buckling occurring in the layering that was inclined perpendicular to the shearing direction (experiment 2-48; Fig. 1d). Experiments 2-47 and 2-48 reach a minimum (at ~ 1 x 10–7 s–1) after 1 % octahedral shear strain, and beyond this point all of the curves for stage 1 exhibit strainrate increases to a greater tertiary strain rate and follow similar paths (Fig. 3). All of the re-deformed samples (experiments 2-49 and 2-50) reach minimum strain rates of ~4 x 10–7 s–1, but beyond this point the strain rate increases and then decreases at octahedral shear strains of ~ 8 % before undergoing a secondary increase (curves for 2-49 and 2-50; Fig. 3). The creep curve for experiment 2-49 has a greater tertiary strain rate than the other samples and suggests that the initial pattern of crystal-orientation fabrics and rate of rotation of the inherited layering govern the shear strain rate.
Orientation of caxes was obtained using the fabric analysis apparatus illustrated in Figure 4 and using the apparatus described by Reference Russell-Head and WilsonRussell-Head and Wilson (2001). The analysis process works in two stages: (1) The analytical instrument scans the thin section and collects and processes image data. (2) The section data acquired from the analytical instrument are loaded into a separate analysis software (called INVESTIGATOR) that allows the operator to examine individual crystallographic variation across individual grains. Unlike traditional texture analysis, the information allows considerable interactive data processing, using INVESTIGATOR, as the link between microstructure and individual c-axis orientations.
Therefore the new system for fabric analysis separates the instrument from the analysis. The instrument (Fig. 4) automatically scans a thin section and collects sets of tiled images that represent stepped rotations of crossed polars in three oblique directions through the section. The lower polarizer has a retarder plate that resolves the plane containing the c axis of the ice crystal. The intersection of the planes from the three oblique views provides the c-axis direction. Theanalysis software provides user feedback on the position of the three planes and their intersections at each pixel in the thin-section image. It is easy to choose where to make a determination and to get immediate indication of the quality of the determination.This technique is at least as reliable as the standard Rigsby stage method. The next version of the instrument is expected to yield higher accuracy, which will be independently tested by comparison with the electron backscatter technique using a quartz thin section.
The microstructural images acquired were typically on the order of 2000 x 2000 pixels that were decomposed and reprocessed as axial-distribution diagrams or AVA diagrams (Achsenverteilungsanalysis) or as scatter diagrams of individual grain c-axis orientation plotted on an equal-area stereographic net. A standard colour code (Fig. 2a) was used to identify the c-axis directions as azimuths and dips in the micrographs. In this scheme, north-trending axes are in blue, east-trending axes are in orange, axes normal to the plane of the thin section are in black and gradational shades represent angular differences between neighbouring pixels. A change in colour intensity to the centre of the colour circle (black) corresponds to c axes increasing in plunge from horizontal, on the periphery, to vertical at the centre of the net. This is an easy method of measuring ice grain orientations, and large datasets can be collected quickly (e.g. in this study 450 grains were measured and analyzed in 2 hours). The c-axis fabrics were measured in two planes, one horizontal section (H) oriented parallel to the shear zone and parallel to the direction of shear, and a vertical section (V) perpendicular to the foliation and parallel to the direction of shear.
Textural and Microstructural Evolution
At the termination of the stage 1 deformation, the AVA diagram illustrates a central high-strain zone (zone 3, Fig. 2b) where there is a concentration of grains with c axes oriented sub-parallel to the shortening direction. This is clearly seen from the concentration of blue grains in Figure 2b, that corresponds to the orientation spread seen in the colour wheel (Fig. 2a). In the least deformed zones (zone 1; Fig. 5a), there is a retention of the random c-axis pattern of the starting material. Elements of this pattern are also observed in measurements obtained in the intermediate strain zone (zone 2; Fig. 5b). However, in the higher-strained area (zone 3; Fig. 5c), there are two asymmetric concentrations of c axes relative to the compression axis with a strong single maximum, rotated with the sense of shear. This pattern of preferred orientation has been reproduced in duplicate experiments (Fig. 6a), where the sample was not required for re-deformation. Here the c-axis pattern measured in horizontal sections, that parallel the shear zones (Fig. 6b; fabric diagram 2-43 H, zone 3), displays strong concentrations of c axes that lie at high angles to the central shear zone (Fig.5c). There are two asymmetric concentrations of c axes relative to the compression axis with a strong single maximum, rotated in the direction of the sense of shear.
The fabric transition into the zone of higher shear strain is very rapid. This is well illustrated on the scale of the total sample or within individual zones. Randomly oriented grains in zone 1 (Fig. 5a) are rapidly transformed into the two-maxima pattern seen in zones 2 and 3 (Fig. 5b and c). This is well highlighted in any individual layers (e.g. zones 2A, 2AA and 3A; Fig. 2b) where a small population of grains exhibit the same pattern (Fig. 7a). This central region of the sample with its strong crystal fabrics was then rotated 90° (Fig. 1b and e) so that the asymmetric maxima were lying east–west (e.g. Fig. 8d), rather than north–south, at the commencement of the stage 2 deformation (Fig. 1b and e). The reason for undertaking this rotation is to simulate the situation in a glacier where layering is rotated as the ice mass passes over basement riser as reported by Reference Tison, Thorsteinsson, Lorrain and KipfstuhlTison and others (1994).
At the conclusion of stage 2 deformation, the c-axis patterns seen across the samples show quite considerable variations in localized areas (Fig. 7b and c). In the least deformed zones (zone 1; Fig. 7b and c) there is a near-random c-axis pattern that reflects in part the inherited fabric; this also has contributions from the starting material used to enclose the stage 1 sample (e.g. Fig. 2c, areas A and B; Fig. 2d, area A). In zones 1A, 1B and area C (Fig. 2c), however, there are elements of an inherited east–west concentration of c axes, from the zone 3 pattern developed in stage 1 (Fig. 7b, zones 1A and 1B). The transitional zone 2 also incorporates part of this east–west inherited fabric, but has superimposed on it a strong asymmetric sub-maximum that lies oblique to the plane of shearing and direction of shortening (Fig.7b, zones 2, 2A and 2B), whereas, in the highly sheared portion of the samples (e.g. Fig. 7b, zones 3,3A,3B; Fig. 7c, zone 3), there is one strong maximum and sub-maximum that are asymmetric with respect to the shear zone boundary. This central zone preserves no evidence of the pre-existing fabrics (e.g. Fig. 7c, area E). By analogy with numerical fabric studies (e.g. Reference Van der Veen and WhillansVan der Veen and Whillans, 1994; Reference Ximenis, Calvet, Garcia, Casas, Sabat, Maltman, Hubbard and HambreyZhang and Reference Wilson and ZhangWilson, 1997), this asymmetrical c-axis fabric distribution is considered to be indicative of non-coaxial (approximately simple shear) strain histories.
Depending on the initial layer orientation with respect to the direction of shear, two different patterns of layer folding were produced as a result of stage 1 deformation, and these produce differences in the creep behaviour (Fig. 3). The initial yielding of the layered ice, where the layering is inclined with the direction of shear (Fig. 1b; experiment 2-47), produces sigmoidal-shaped layering consistent with the sense of shear (Fig.1a; see also Reference Wilson and SimWilson and Sim, 2002). Where the initial layering was inclined to the shearing direction (Fig.1d; experiment 2-48), the layering is folded into a series of open buckles (Fig.1e). These layers are defined by the preservation of air bubbles along the original layer boundaries. The grain microstructure that is associated with this deformation is characterized by a serrated interlocking grain structure, and throughout the whole sample there is a noticeable absence of undulose extinction within any grain (Fig. 2b). Accompanying the strain in the shear zones (zone 3), there was a subtle reduction in grain-size (Fig. 2b), which is comparable with the more extensive set of results described by Reference Wilson and SimWilson and Sim (2002).
After the stage 2 deformation, the original sigmoidal pattern seen in experiment 2-47 is refolded (Fig. 1c). However, the preservation of the original layering in the shear zones is difficult to recognize in thin sections (60 μm thick) but can be ascertained in thicker slabs cut from the sample (120μm thick). The grain microstructure in the high-strain zone (Fig. 2c, zone 3) is dominated by fine recrystallized grains (diameter 1–3 mm) in the re-deformed area (Fig. 2c, zones 3A and 3B); here there is a prominent two-maxima c-axis crystallographic fabric (Fig.9b). The transitional lower-strained areas (e.g. Fig. 2c, zones 2A and 2B) have a greater grain-size (2.5–10 mm) and a greater distribution of c axes lying in the east–west quadrant (Fig. 9e) that may reflect an inherited east–west component from stage 1.
Where a set of original upright folds (Fig. 1e) are sheared and flattened (Fig. 1f), a complicated set of disharmonic fold structures (Reference Van der Pluijm and MarshakVan der Pluijm and Marshak,1997) are produced that are asymmetric in the direction of shear (Fig. 2d). The pre-existing layering is difficult to recognize in thin section because of extensive grain growth, with variable grain-sizes (2–7 mm), in zones 2 and 3, and the corresponding c-axis fabrics in these areas all exhibit evidence of a two-maxima pattern (Fig.7c, zones 2 and 3). There is a complete removal of evidence of the earlier east–west-trending caxes in layers 1 and 2 (Fig. 7c), with all grains contributing to the two-maximapattern seen in the total plot for zone 2 (Fig.7c). This is in marked contrast to the lowest-strained regions (Fig. 7c, zone 1) where there are smaller grain-sizes ∽3mm in area B, 2–5mm in area C and 5–6mm in area D (Fig. 2d). These lower-strained areas preserve elements of the pre-existing east–west-trending c-axis fabric and retain the original grain-size (areas B and C; Fig. 2d) or have experienced apparent grain growth (area D; Fig. 2d).
Misorientation Distribution Data
Misorientation distribution data provide more information about intra-grain processes in the development of the c-axis orientation patterns (Reference Wheeler, Prior, Jiang, Spiess and TrimbyWheeler and others, 2001) and may help us to understand texture-forming processes and deformation mechanisms. The normal method is to select the minimum misorientation angle and its corresponding rotation axis (Reference Alley, Gow and MeeseAlley and others, 1995). As pointed out by Reference Wheeler, Prior, Jiang, Spiess and TrimbyWheeler and others (2001), there is generally no physical significanceto this convention, and it does not necessarily mean that two grains are misoriented because they have actually rotated around a chosen axis. In this paper, any set of grain pairs is used to calculate a set of misorientation angles using the method described by Reference Wheeler, Prior, Jiang, Spiess and TrimbyWheeler and others (2001). The misorientation-angle distribution of every grain is related to every other grain and represented graphically by a histogram of misorientation angles or by a cumulative frequency curve. Our database for misorientation analyses is the collection of c-axis measurements of crystallographic orientations. These data allow us to perform two kinds of misorientation analysis (Fig. 5, 6, 8 and 9): (1) a neighbour-pair misorientation calculated from two c-axis orientation measurements, either side of a boundary between neighbouring grains, and (2) a random-pair misorientation calculated from the orientations of grain pairs that are not necessarily in physical contact (Reference Fliervoet, Drury and ChopraFliervoet and others, 1999). The dataset size is, in the case of neighbour-pair misorientation distribution, related to the number of measured neighbouring grain pairs. In the case of the random-pair misorientation distribution, the measured c axes of the neighbouring grain pairs are randomly paired. It is expected that important information about grain boundaries can be detected by comparing the misorientation distributions. In the following, we present the results from grain misorientation analyses performed on zones representing the transition from low to higher strains.
In the starting material the neighbour-pair misorientation distribution appears to be either essentially random (Fig. 5a) with no distinct population groupings, or a broad girdle (Fig. 8a) that appears to correspond to crossed girdle distribution (Fig. 8b). After stage 1 of the deformation history, the high-strain zone in the centre of the sample has a neighbour-pair misorientation c-axis distribution that is non-random, characterized by a peak at 10–30°, a sub-peak centred at 50–65° and a broad peak at 120–150° (Fig. 5c and 8c). The neighbour-pair misorientation distribution is very similar to the random-pair misorientation distribution and suggests that grains are not influenced by their neighbours (Fig. 6). These non-random fabrics were then rotated and re-deformed in order to see what strain regime would preserve these fabrics.
Figure 8 shows the significant changes that can occur in the c-axis pattern and the neighbour-pair misorientation distribution from prior to stage 1 deformation (Fig. 8a and b) at the onset of stage 2 deformation (Fig. 8c and d) and in an area that did not undergo shearing (Fig. 8e and f). Prior to stage 2 deformation, the pattern would have been east–west concentrations of c axes (Fig. 8d), due to rotation of the sample, in grains with diameters of 2–4 mm (Fig. 2b, zone 3). Remnants of this pattern are still seen, but there is the initiation of new grains with steep plunging c axes that randomizes the previous fabric (Fig. 8f) and substantial grain growth (e.g. zones 1A, 1B and area C in Fig. 2c; areas B, C and D in Fig. 2d). This produces a reasonably flat distribution of neighbour-pair misorientations with sub-peaks at 15°, 60°, 115° and 130–140° (Fig. 8e). These sub-peaks are not strong and do not match up with the misorientation angles observed after the stage 1 deformation (Fig. 5b and c). Although these areas were not experiencing substantial deviatoric stresses, there was sufficient stress to promote grain growth with the removal of some of the strongly oriented grains (Fig. 8d), and initiate new grains with orientation fabrics. This may reflect migration recrystallization in a constrained environment (Fig. 8f).
In contrast to this random pattern, areas that experienced any component of shear strain (zones 2 and 3) exhibit no evidence of inherited c-axis component, namely the preexisting east–west-trending fabrics (e.g. Fig. 9). Neighbourpair misorientations suggest there are distinct subsets of preferred c-axis misorientation angles, namely intermediateangle (10–25°), high-angle (60–65°) and very high-angle (120–150°), that are identified in the higher-strained (Fig. 9a) and lower-strained areas (Fig. 9b). As illustrated by Reference Wheeler, Prior, Jiang, Spiess and TrimbyWheeler and others (2001), the neighbour-pair misorientation distribution depends on which grain pairs are neighbours. This is illustrated in Figure 9 where the particular subsets (Fig. 9c and f) that contribute to the final c-axis preferred orientation (Fig. 9b and e) are separated out. It is clearly seen that the strongly clustered set of orientations contributing to the strongest concentration of c axes belongs to the intermediate angles 10–25°.
Discussion
Fold development
A localization of shear in the central zone of high strain was observed in all experiments and is accompanied by folding of the layering. A gentle open fold has developed in experiment 2-48; at the initiation of the stage 2 deformation, the axial surface of the buckles starts off at a high angle to the flow plane. Once the folds are sheared, there is tightening of the folds and a rotation of the axial surface towards the flow plane. Such folds are often observed in natural glaciers (Reference Ximenis, Calvet, Garcia, Casas, Sabat, Maltman, Hubbard and HambreyXimenis, 2000). However, in experiment 2-47, more sigmoidal structures develop and when rotated into a stage 2 configuration (Fig. 1b) undergo layer-parallel shortening causing buckling, and appear to be passively rotated into the zone of shearing. These appear to behave as a single unit that rotates due to the vorticity of flow, thus becoming part of a larger-scale fold with the widening of some layers and thinning of others (Fig. 1c and 2c). Reference Hambrey, Lawson, Maltman, B. and HambreyHambrey and Lawson (2000) have illustrated similar structures in naturally deformed ice.
Shear-strain localization is enhanced by the dynamic recrystallization processes and the development of new crystallographic fabrics. An increase in shear strain rate (Fig.3a) where folds are tightened and rotated into the flow plane (experiment 2-49) can be explained by the development of a strong crystallographic preferred orientation accompanied by a higher degree of grain growth (Fig. 2d). Similarly, the general destabilization of the layering in experiment 2-49 may also explain the small decrease in shear strain rate at octahedral shear strains of 7% from 1.2×10–6 s–1 to 1×10–6 s–1. As strain progresses beyond 10%, an increase in strain rate probably accompanies the grain growth observed in the ice. There is a marked decrease in strain rate after 10% octahedral shear strain in the finer-grained material in experiment 2-50, from 8×10–7 s–1to 3×10–7 s–1, followed by an increase in strain rate. The increase in shear strain rate would be expected with the development of a steady-state crystallographic orientation in the central shear zone. However, the final microstructures and grain-sizes in the two experiments are not the same. In 2-50 the grain-size is 1–3mm and in 2-49 it is coarser (2–10 mm). This may suggest that the dynamic recrystallization processes associated with layer destabilization may have increased the strain rate in comparison to the evolution of the finer-grained ice seen in 2-50 (Fig. 2c).
Crystallographic orientation and grain growth
The crystal fabrics measured for the stage 1 central shear zone (Fig. 5c) have little in common with any of the fabrics described from the shear zone margin regions. Given the spread of orientations present in the initial fabric (e.g. Fig. 5a and 8a), it is extremely unlikely that a single crystal slip mechanism could effectively achieve the strong double-maximum fabric in both the stage 1 and stage 2 mature shear zone. We believe that this crystallographic orientation pattern of the mature shear zone can be explained by both intra-crystalline glide and inhomogeneous deformation of many original grains as part of the dynamic recrystallization process described by Reference Wilson and ZhangWilson and Zhang (1994). In these experiments, there are simple relationships between crystal fabrics, shear zone geometry and kinematics observed in the mature shear zone. This supports the idea of formation of the crystallographic fabric by a single internally consistent mechanism rather than by the superposition of several slip systems as in the models of Reference Castelnau, Duval, Lebensohn and CanovaCastelnau and others (1996).
Our results indicate that a significant crystallographic preferred orientation development is strain-induced and involves dynamic recrystallization after only 10% uniaxial strain and octahedral shear strains of γ = 0.7. At present, little is known about the effect of dynamic recrystallization on grain misorientation-angle distribution. The present study has demonstrated that the strength of the c-axis crystallographic preferred orientation has a major influence on the misorientation-angle distribution. The experimental samples that we have studied were deformed to moderate strains, but exhibited strain transitions, but there was a rapid development of distinct misorientation-angle distributions, suggesting that dynamic recrystallization had an important influence on the grain misorientation-angle distribution. If migration recrystallization from subgrains occurs during the dynamic recrystallization process, then new grains will grow into their neighbours, and no particular orientation relationship would be expected. There was an apparent absence of lower-angle boundaries and a rapid development of higher frequency of intermediate- (10–25°), high- (60–65°) and very high-angle boundary (120–150°) misorientations between c axes. This suggests that subgrain rotation is minimal or is obliterated by the dynamic recrystallization process.
Migration recrystallization appears to occur only in areas that are subjected to decreased strain rates (e.g. Fig. 2c, zones 1A and 1B). This is accompanied by grain growth and an apparent bulging of boundaries and has caused partial or complete destruction of the pre-existing c-axis patterns of preferred orientation (Fig. 8f). The transition into the areas subject to dynamic recrystallization and strong crystallographic fabrics appears to be rapid. The question therefore arises what models are applicable to the recrystallization processes that we observe in these experiments. The Reference Derby and AshbyDerby and Ashby (1987) model for migration recrystallization incorporates a dynamic balance between grain-size reduction (via nucleation of new grains) and grain growth, driven by dislocation stored energy. During dynamic recrystallization, new grains might be sufficiently small to deform by grain-size-sensitive mechanisms. However, grain surface energy may then become a driving force for grain-boundary migration in addition to dislocation stored energy, resulting in grain growth. This reasoning was used by Reference De Bresser, Peach, Reijs and SpiersDe Bresser and others (1998) to argue that the grain-size of a dynamically recrystallizing material will tend to organize itself so that deformation proceeds in the boundary between the grain-size-insensitive dislocation creep field and the grain-size-sensitive diffusion creep field. In De Bresser’s model, dynamic recrystallization should lead to a steady-state balance between grain-size-reduction and grain-growth processes and these will contribute to the creep rate, grain-sizes and rapid fabric evolution that we observe.
Misorientation distributions
The significant misorientations obtained from nearest-neighbour analysis may arise either because certain misorientations have a low-energy boundary structure or because particular deformation or recrystallization processes produce characteristic boundary types (e.g. twinning), or subgrain rotation recrystallization. From the vertical sections of the deformed samples (Fig. 9a and b), it appears that these can be divided into four misorientation subsets: subgrains (<10°), intermediate-angle (10–25°), high-angle (50–65°) and very high-angle boundaries (120–150°). There are only small populations of low-angle boundaries < 10° that would normally be considered to be subgrains, and this appears to confirm that there is little evidence that a subgrain rotation mechanism contributes to the final fabric development.
A larger effect on the crystallographic preferred orientation is expected if significant grain growth occurs during dynamic recrystallization, and this may influence the crystallographic preferred orientation in several ways: (1) preferential growth or nucleation of grains with particular (hard or soft) orientations (Reference DuvalDuval, 1981); (2) preferential elimination of particular grain orientations (Reference Burg, Wilson and MitchellBurg and others 1986); and (3) preferential growth of new grains surrounded by high-mobility special, grainboundaries (e.g. high-angle boundaries in metals and silicates (Reference Gordon, Vandermeer and MargolinGordon and Vandermeer, 1966; Reference Mclaren, Means, Lister, Hobbs and HeardMcLaren, 1986)). The preferential growth of new grains surrounded by high-mobility special boundaries (Reference Gordon, Vandermeer and MargolinGordon and Vandermeer, 1966) could be reflected in a high frequency of specific misorientation-angle distributions as seen in these experiments. The consistency of the misorientation distributions that develop at the low strains reported in these experiments, in comparison to the large strains in natural ice, indicates a strong, fairly well-defined relationbetween boundary mobility and orientation relationship. These suggest grain-boundary equilibrium occurs across an interface with energies reduced by grain-boundarymigration and diffusion. However, more detailed information regarding the orientation dependence of the boundary mobility is required.
Conclusions
-
1. Advances in optical imaging techniques that allow the preparation of axial-distribution (AVA) diagrams, combined with computer-aided measurements, have been used for the preparation of individual c-axis orientation data. This has allowed routine analysis of individual grain-orientation determinations to be undertaken across a set of experimentally deformed samples of layered ice. Unlike traditional texture analysis, the information allows considerable interactive data processing with a strong link between microstructure and fabric data.
-
2. These experiments suggest that at small strains there is a rapid change in c-axis crystallographic fabric through a process of dynamic recrystallization. Two dominant clusterings (point maxima) of c axes are present in any sample experiencing shear strains of γ ≥ 0.7: a dominant c-axis point maximum lying approximately 5° from the pole to the bulk shear plane and in the direction of shear, with a secondary maximum 45° to the shear plane.
-
3. Pre-existing fabrics can be destroyed or modified by migration recrystallization that occurs in regions of lower differential stress and is accompanied by extensive grain-boundary migration (e.g. the transition from Fig. 8d to Fig. 8f). However, at sufficiently small strains, there is a switch from grain-boundary migration processes that can be considered as migration recrystallization, to the grain-size-sensitive mechanisms involving dynamic recrystallization.
-
4. Individual c-axis orientation determinations across grain boundaries have been analyzed as neighbour-pair and random-pair misorientation distributions. The misorientation axes and crystallographic orientations indicate that there are distinct sets, which imply that adjacent grains have physically interacted to create special boundary relationships in the recrystallized aggregate.
-
5. The grain-sizes of the recrystallized ice are quite coarse (≥1mm), and subgrains are not recognized optically; similarly, the absence of low-angle misorientations between c axes suggests that subgrain rotation is minimal or is obliterated by the dynamic recrystallization processes.
Acknowledgements
Financial support from an Australian Research Grant and a Melbourne University Research Development Grant is gratefully acknowledged. D. Hansen, T. Thorsteinsson and an anonymous referee are thanked for their comments that improved this paper.