Numerical implementation and assessment of a phenomenological nonlocal model of ductile rupture

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Ductile Fracture by Void Growth to Coalescence (2010, background): “Application of this concept yields satisfactory results in the presence of moderate gradients of the macroscopic fields (Leblond et al., 1994a; Tvergaard and Needleman, 1995; Enakoutsa et al., 2007; Hu and Ghosh, 2008).”
Phase-field modeling of ductile fracture (2015, background): “Non-local or gradient versions of the Gurson and of the GTN models have been proposed in [17,18], respectively.”
Plastic and damage behaviour of a high strength X100 pipeline steel: Experiments and modelling (2008, unknown): “This technique is often used in the case of ductile rupture [24,25,27,40] although improved the socalled ‘‘non-local’’ models can be used to obtain mesh independent results [41,42].”
Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture (2009, methodology): “This was for instance the case with Leblond et al. (1994)’s first version of a nonlocal evolution equation for the porosity, prior to the modification introduced by Enakoutsa et al. (2007).”