Geological and mathematical framework for failure modes in granular rock

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Failure characteristics of two porous sandstones subjected to true triaxial stresses (2016, background): “Such failure planes are commonly referred to as pure compaction bands [Mollema and Antonellini, 1996; Olsson, MA AND HAIMSON POROUS SANDSTONES TRUE TRIAXIAL FAILURE 6491 1999; Issen and Rudnicki, 2000].”
A contact algorithm for frictional crack propagation with the extended finite element method (2008, background): “Discontinuous deformation fields are encountered in a variety of engineering problems and manifest themselves in different forms [1–13].”
Calculating the effective permeability of sandstone with multiscale lattice Boltzmann/finite element simulations (2006, methodology): “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].”
Computational modeling of deformation bands in granular media. II. Numerical simulations (2004, background): “Development of accurate mathematical models of geomaterial behavior requires a more fundamental understanding of the localization phenomena; in particular, the important factors responsible for the inception and development of localized deformation.”