Cracking node method for dynamic fracture with finite elements

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The extended/generalized finite element method: An overview of the method and its applications (2010, methodology): “Motivated by this work, Song and Belytschko [164] have developed a method where cohesive segments are injected node-wise called the cracking node method.”
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations (2010, methodology): “[3, 28] on xfem methods and by Gürses & Miehe [18] and Miehe & Gürses [25, 26] on the modeling of configurational–force– driven sharp crack propagation.”
Immersed particle method for fluid–structure interaction (2009, methodology): “We also used the cracking particle method [24]; see Song and Belytschko [34] for a finite element version of the method.”
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits (2010, methodology): “[17,18] We also refer to the adaptive interface methods by Gürses & Miehe [19] and Miehe & Gürses [20,21] for the modeling of configurational-force-driven sharp crack propagation.”
Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation (2012, methodology): “Advanced extended finite element methods with nodal enrichment for dynamic fracture are outlined e.g. in Belytschko et al. (2003), Song and Belytschko (2009), Song et al. (2008, 1984), and Fagerström and Larsson (2006).”