Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture

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Ductile failure modeling (2016, methodology): “Enakoutsa and Leblond [85] implemented Gologanu et al.’s second-gradient model, following their suggestion, by (i) introducing new nodal degrees of freedom (DOF) aimed at representing the strains; (ii) calculating the derivatives of the strains by using these new DOF in conjunction with the first de”
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods (2011, methodology): “3 Quadratic Ansatz Quadratic Ansätze have been initially proposed in [14, 17, 22, 28, 38] to extend the usual affine conditions of loading of material volume element in order to incorporate strain gradient effects in the homogenization procedure.”
Ductile Fracture by Void Growth to Coalescence (2010, methodology): “, 1994a; Tvergaard and Needleman, 1995; Enakoutsa et al., 2007; Hu and Ghosh, 2008). However, this relatively simple regularization method does not solve the meshdependency problem when strong gradients are present such as near crack tips. Other robust methods were introduced in recent years by Medi”