A two-scale extended finite element method for modelling 3D crack growth with interfacial contact

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A two-scale approach for the analysis of propagating three-dimensional fractures (2012, methodology): “More recent methods aimed at crack growth modeling and based on multiscale concepts include the multigrid methods proposed in [45,50]; the method of Guidault et al. [26] based on the LATIN method and domain decomposition concepts; the method of Pierres et al. [ 49 ] based on the LATIN method and aug”
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies (2012, methodology): “in [36] introduced a method with a three-fields description of the contact problem, the interface being seen as an autonomous entity with its own discretization.”
A generalized finite element method with global-local enrichment functions for confined plasticity problems (2012, methodology): “Problems involving confined plasticity like those considered here, can also be dealt with using, for example, the two-scale XFEM proposed in [21] and based on a mixed three-field weak formulation, or model reduction techniques like those proposed in [14].”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, methodology): “[85] based on the LATIN method and augmented Lagrangian methods, the method of Ben Dhia and Jamond [86] that combines the extended FEM with the Arlequin method, the method of Galland et al.”