Towards the algorithmic treatment of 3D strong discontinuities

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Phantom-node method for shell models with arbitrary cracks (2012, methodology): “This so-called phantom-node method has been implemented in the finite element framework in two dimensions [18,19], three dimensions [20,21], and thin shells based on discrete Kirchhoff theory [22–24].”
hp‐Generalized FEM and crack surface representation for non‐planar 3‐D cracks (2009, methodology): “[36], and Oliver et al.”
An adaptive multiscale method for quasi-static crack growth (2014, background): “[22, 23] for statics and dynamics by Song et al.”
Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies (2008, methodology): “[19, 22, 24–39].”