Computational modeling of deformation bands in granular media. II. Numerical simulations

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Calculating the effective permeability of sandstone with multiscale lattice Boltzmann/finite element simulations (2006, background): “In reality, the thickness of a dilation band is typically smaller than that of a compaction band; in the dilation case, grains tend to separate and create opening fractures, and thus band width is limited [3, 9].”
Capturing strain localization in dense sands with random density (2006, background): “As pointed out first in [16], the consistent tangent operator can be used in lieu of its continuum counterpart to search for the necessary condition for localization, provided a small enough load step is taken.”
Geological and mathematical framework for failure modes in granular rock (2006, methodology): “…were successfully simulated in the laboratory (Dunn et al., 1973; Olsson, 1999; Mair et al., 2000; Haimson, 2001; Wong et al., 2001) and were modeled theoretically (Rudnicki and Rice, 1975; Aydin and Johnson, 1983; Issen and Rudnicki, 2000; Bésuelle and Rudnicki, 2004; Borja and Aydin, 2004).”
Cam-Clay plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media (2004, background): “At these band normals, the orientation of the instantaneous velocity jump vector m are 44 and 44 , respectively, suggesting a nearly isochoric shear band since n Æ m 0 (see [22,23] for a discussion of various types of deformation bands).”