A contact algorithm for frictional crack propagation with the extended finite element method

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Stabilized low-order finite elements for frictional contact with the extended finite element method (2010, background): “8 (see [8,28] for the physical meanings of these parameters).”
Frictional slip plane growth by localization detection and the extended finite element method (XFEM) (2011, background): “This leads to a matrix containing coupling between the normal and tangential tractions as reported in [34].”
Thermo-hydro-mechanical modeling of impermeable discontinuity in saturated porous media with X-FEM technique (2012, methodology): “The technique was then employed in elastoplasticity problems, including: the crack propagation in plastic fracture mechanics [40], the plasticity of frictional contact on arbitrary interfaces [41, 42], the plasticity of large deformations”
The extended/generalized finite element method: An overview of the method and its applications (2010, background): “[50], Ji and Dolbow [103], and Liu and Borja [114] in the XFEM.”