2010
DOI: 10.1016/j.jsg.2010.08.002
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Monoclinic and triclinic 3D flanking structures around elliptical cracks

Abstract: We use the Eshelby solution modified for a viscous fluid to model the evolution of three-dimensional flanking structures in monoclinic shear zones. Shearing of an elliptical crack strongly elongated perpendicular to the flow direction produces a cylindrical flanking structure which is reproducible with 2D plane strain models. In contrast, a circular or even narrow, slit-shaped crack exhibits a reduced magnitude of the velocity jump across the crack and results in smaller offset and a narrower zone of deflectio… Show more

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Cited by 25 publications
(26 citation statements)
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References 29 publications
(38 reference statements)
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“…The case of an irregular boundary for the flow s presently under estimated during magma emplacement (de Saint Blanquat et al, 1998), though it has been documented for shear zones (Jessup et al, 2006;Kuiper et al, 2007) and extrusion (Exner and Dabrowski, 2010;Fernàndez et al, 2013;Koyi et al, 2013). Folding is a consequence of the triclinicity, with the obvious development of sheath folds (Cobbold and Quinquis, 1980;Kuiper et al, 2007).…”
Section: Small Scale Vorticity Problemsmentioning
confidence: 99%
“…The case of an irregular boundary for the flow s presently under estimated during magma emplacement (de Saint Blanquat et al, 1998), though it has been documented for shear zones (Jessup et al, 2006;Kuiper et al, 2007) and extrusion (Exner and Dabrowski, 2010;Fernàndez et al, 2013;Koyi et al, 2013). Folding is a consequence of the triclinicity, with the obvious development of sheath folds (Cobbold and Quinquis, 1980;Kuiper et al, 2007).…”
Section: Small Scale Vorticity Problemsmentioning
confidence: 99%
“…In our three‐dimensional model, an initially circular frictionless slip surface embedded in a homogeneous, isotropic, linear viscous matrix is subjected to far‐field simple shear. The flow field around the slip surface is found with an adapted external Eshelby solution (Eshelby, 1959) for incompressible viscous materials in the limit of an elliptical and inviscid inclusion (Exner and Dabrowski, 2010). We use a Cartesian coordinate system, where shearing takes place in the x‐direction on the x‐y plane (Fig.…”
Section: Modelmentioning
confidence: 99%
“…Schlische, 1995), such as flanking structures (e.g. Exner and Dabrowski, 2010; Grasemann et al. , 2011).…”
Section: Introductionmentioning
confidence: 99%
“…7 ). The investigated isolated triclinic and monoclinic flanking structures formed by frictional slip but within ductile deforming host rocks and therefore the measured field data are additionally compared with a modified three-dimensional Eshelby solution for a viscous fluid modeling shearing of an elliptical crack oriented perpendicular to the flow direction (for derivations of relevant equations see Exner and Dabrowski, 2010 ). Fig.…”
Section: Monoclinic and Triclinic Flanking Structuresmentioning
confidence: 99%
“…Previous numerical, analytical and analogue studies of flanking structures treated the slip surface either as low viscosity inclusion embedded in a higher viscosity matrix or as a brittle fault (e.g. Grasemann and Stüwe, 2001 , Grasemann et al., 2003 , Grasemann et al., 2005 , Exner et al., 2004 , Kocher and Mancktelow, 2006 , Exner and Dabrowski, 2010 ). Many natural examples do not provide clear evidence for the existence of a weak material along the slip surfaces.…”
Section: Introductionmentioning
confidence: 99%