Simulations of instability in dynamic fracture by the cracking particles method

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Fracture modeling using meshless methods and level sets in 3D: Framework and modeling (2012, background): “For the modeling of dynamic fracture, such as the impulsive loading of concrete, accurate prediction of discrete cracks are unrealistic; therefore, smeared crack approaches based on continuum damage models are preferred [28, 29].”
Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling (2011, methodology): “Extrinsic techniques have been developed into meshless crack ‘particle’ methods for 3D crack modelling in a number of references [15, 18, 19, 27] and shifted weight functions are used as an alternative to the asymptotic basis in (3).”