On the strong discontinuity approach in finite deformation settings

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On three-dimensional modelling of crack growth using partition of unity methods (2010, background): “Embedded elements [50,100–103] can handle arbitrary crack paths without remeshing.”
Continuum approach to material failure in strong discontinuity settings (2004, background): “Moreover, although only infinitesimal strain kinematics has been considered here, its extension to finite strains can also be done in a very similar manner [24].”
Dynamic crack propagation analysis of orthotropic media by the extended finite element method (2009, methodology): “Later, Peerlings et al. (2002) and Oliver et al. (2003) further studied the loss of hyperbolicity and added this technique into equilibrium equations.”
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids (2011, unknown): “[48] to finite deformations.”
New finite elements with embedded strong discontinuities in the finite deformation range (2008, background): “[8,9,37,29,15, 36,39,31], among others.”
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment (2003, unknown): “[17].”
Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach (2006, background): “As an specific branch, the Continuum Strong Discontinuity Approach (CSDA) offers some additional features already presented in a number of works [9-14].”