Numerical analysis of high speed concrete fragmentation using a meshfree Lagrangian method

By Timon Rabczuk, J. Eibl, L. Stempniewski. 2004

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Assessment of smoothed point interpolation methods for elastic mechanics (2010, background): “to large deformation [4], crack problems [5–8] and adaptive analysis [9–11].”
A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields (2014, unknown): “Recently, much effort has been directed towards the application of meshless methods to crack problems to overcome the difficulties in traditional numerical methods such as meshless methods for dynamic problem, 2D fracture modelling [9–18], 3D fracture modelling [19,38–41], fluid structure integratio”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “Several other researchers have developed and employed various meshfree methods discussed in the “Introduction” to reassociate connectivity for penetration and fragment-impact problems (Johnson et al. 1996; Li et al. 2012, 2013; Libersky et al. 1997; Ma et al. 2009; Parks et al. 2008; Rabczuk and Bel”
Dynamic fracture of concrete compact tension specimen: Experimental and numerical study (2013, background): “However, experimental (Curbach and Eibl, 1990), theoretical (Freund, 1972a,b) and numerical investigations (Rabczuk and Belytschko, 2004; Rabczuk et al., 2004; Travaš et al., 2009; Ožbolt et al., 2011) indicate that a single mode-I type of crack cannot reach theoretical velocity.”