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6.3  ·  Fringe Structures  179
                 depends on the relative rotation of fringe an core object,  bres converge on the core object (Köhn et al. 2000). Curva-
                 which normally deviates from the orientation of the ex-  ture of the fibres is strongly dependent on the rotation rate
                 tensional ISA, even up to 90°. Fringes can therefore con-  of the core object with respect to the fringes (Fig. 6.25). This
                 tain tracking, non-tracking and miscellaneous fibres,  rotation rate, in turn, depends on coupling between the
                 while tracking fibres are not generally opening in the  core object and the matrix (compare Sects. 5.6.7, 5.6.8).
                 direction of ISA (Fig. 6.23, ×Video 6.23).
                   The rotational behaviour of core-object and fringes  6.3.3
                 is quite different from that of a single, isolated rigid ob-  Fringes on Angular Core Objects
                 ject in a ductile flow, since all three objects influence each
                 other (Köhn et al. 2003). Rotations of each element, and  Most fringes in nature develop on angular core objects
                 the fringe object as a whole, are slower than would be  with planar faces such as pyrite or magnetite crystals in
                 expected from their aspect ratio, and the rotation rate  fine-grained metapelite or carbonaceous slate at low
                 generally decreases with fringe growth (Box 5.4; Ghosh  metamorphic grade (Figs. 6.3, 6.21, 6.27). Because of the
                 and Ramberg 1976; Passchier 1988a; Köhn et al. 2003).  smooth crystal faces of such core objects, most elongate
                 In fact, the rotation and growth of fringes is too complex  crystals or fibres tend to be non-tracking in adjacent
                 to be approached analytically and can only be predicted  fringes. However, one, two or more crystal faces can be
                 by numerical or analogue modelling (e.g. Kanagawa 1996;  in contact with a fringe at any time. As a result, a divid-
                 Köhn et al. 2000, 2001a,b, 2003).             ing line or suture may be present in the fringe separating
                   If a fringe is not rigid, it may deform internally. Since  populations of fibres or elongate crystals with different
                 distal parts of antitaxial fringes are oldest, they are most  orientation. Such sutures are attached to the corner be-
                 strongly deformed. A non-deformed fringe can be rec-  tween two faces of the core object (Figs. 6.21, 6.23, 6.27,
                 ognised by an undeformed ‘cast’ of the core object at the  ×Photo 6.21, ×Video 6.24b, 6.27). In fact, sutures are
                 distal part of the fringe (Fig. 6.20) and by fibres which  trapped by corners of core objects just as individual fi-
                 lack undulose extinction and grain boundary migration  bres are on asperities in the contact (Köhn et al. 2000).
                 structures. In some cases rigid strain fringes may start  Figures 6.22 and 6.24 show the development of strain
                 to act as nuclei for second-generation fringes at the distal  fringes around an angular core object in coaxial and non-
                 ends of the fringe (Fig. 3 in Choukroune 1971).  coaxial progressive deformation. In the case of displace-
                                                               ment-controlled growth and non-coaxial progressive
                 6.3.2                                         deformation, the fibres are strongly curved in the outer,
                 Fringes on Spherical Core Objects             oldest parts of the fringe and are more straight on the
                                                               inside. This is a result of decreasing angular velocity of
                 The simplest type of fringe develops on spherical core  the fringe when its aspect ratio increases (Box 5.4). In
                 objects. Common examples are globular aggregates of  the case of face-controlled growth, curvature of the fi-
                 pyrite with a raspberry-like external form known as  bres is complex and directed towards the suture lines,
                 framboidal pyrites (Fig. 6.20). Matrix material is pulled  which are therefore more prominent than in displace-
                 away from the rigid sphere by the flowing matrix and  ment-controlled fibres. The shape of the sutures is usu-
                 new fringe material is depositing in the gap. In coaxial  ally less complex than that of the fibres and is more use-
                 progressive deformation displacement-controlled fibres  ful as a shear sense indicator; if the combined sutures of
                 form on rough objects and are simply parallel to the long  both fringes define an S shape, shear sense is dextral; if
                 dimension of the fringe. Face-controlled fibres form on  they define a Z shape, shear sense is sinistral (Fig. 6.24,
                 smooth objects and can be predicted to show inward  ×Video 6.24b). The external shape of the fringes is usu-
                 curvature of fibres that gradually decrease in width  ally curved or even “hooked” with a similar sense as the
                 (Fig. 6.22; Köhn et al. 2000).                suture lines and as the external geometry of fringes
                   Modelling of the interaction of fringe growth, rota-  around spherical core objects. However, the external ge-
                 tion and deformation predicts patterns as shown in  ometry of fringes on angular core objects is less reliable
                 Fig. 6.24 (Choukroune 1971; Malavieille et al. 1982; Et-  as a shear sense indicator than those on spherical core
                 checopar and Malavieille 1987; Köhn et al. 2000). In all  objects; the orientation of the angular core object at the
                 cases, the fringes are curved into an S-shaped spiral for  onset of fringe growth determines the final shape of the
                 dextral shear sense (Fig. 6.24, ×Video 6.24a). If most fi-  fringe. Fringes on elongate core-objects can therefore be
                 bres are tracking, they will show a similar curvature as  subdivided into four geometry classes; nw, n, w and wn-
                 the outline of the fringe, but be inclined at a steeper an-  type, depending on the orientation of the core object at
                 gle to the flow plane (Figs. 6.20, 6.24, ×Video 6.24a). If  the onset of fringe growth and its subsequent rotation
                 few fibres are tracking most will be face controlled and  (Fig. 6.26). An additional complication is that the aspect
                 radiate outward. The curvature of the fibres will be mostly  ratio of elongate core objects will also influence fringe
                 in the same sense as the curvature of the fringe, but fi-  shape (Passchier 1987b; Köhn et al. 2003; Sect. 5.6.7).
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