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Mechanisms and Mechanics of Echelon Shear Bands

Once fractures initiate at multiple points and propagate towards each other, they invariably become off-line or non co-linear. This is known as 'echelon structure.' Echelon opening mode fractures, joints, closing mode fractures, pressure solution seams, and their mechanisms and mechanics were described in corresponding categories. Conceptually, deformation bands of shear and volumetric bands are similar. The propagation modes of interacting off-line shear bands are informative for several reasons including propagation of bands in shearing mode (mode-II) and mode-I and anti mode-I modes. Figure 1 and Figure 2 illustrate a variety of modes and their paths simulated (Du and Aydin, 2003) using a criterion based on the Strain Energy Density (Timoshenko and Goodier, 1970, 3rd ed., p. 247-248) and Displacement Discontinuity Method (Crouch and Starfield, 1983). Based on the loading (the direction and magnitude of the remote stresses and the material properties), it is possible to map the theoretical paths of the shear bands and dilation and compaction bands. Band simulations using different approaches were also investigated by various authors, for example, Sternlof et al. (2005).

Echelon right-lateral shear bands linked by splay bands (a). A simulation model based on the distortional strain energy criterion with the predicted mode-ll propagation path (b). From Du and Aydin (1993).Figure 1. Echelon right-lateral shear bands linked by splay bands (a). A simulation model based on the distortional strain energy criterion with the predicted mode-ll propagation path (b). From Du and Aydin (1993).
Echelon shear bands linked by volumetric bands of compaction and dilatant types. Slightly revised from Du and Aydin (1993).Figure 2. Echelon shear bands linked by volumetric bands of compaction and dilatant types. Slightly revised from Du and Aydin (1993).
Reference:

Crouch, S.L., Starfield, A.M., 1983. Boundary Element Methods in Solid Mechanics: With Applications in Rock Mechanics and Geological Engineering. 322 pp., Allen and Unwin, London.

Du, Y., Aydin, A., 1993. The maximum distortional strain energy density criterion for shear fracture propagation with applications to the growth paths of en echelon faults. Geophysical Research Letters 20: 1091-1094.

Sternlof, K.R., Rudnicki, J.W., Pollard, D.D., 2005. Anticrack inclusion model for compaction bands in sandstone. Journal of Geophysical Research 110: B11403, doi:10.1029/2005JB003764.

Timoshenko, S.P., Goodier, J.N., 1970. Theory of Elasticity, 3rd edition. McGraw-Hill, Inc., San Francisco, 567pp.



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