Analysis of Interacting Cracks Using the Generalized Finite Element Method With Global-Local Enrichment Functions

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Analysis of three‐dimensional fracture mechanics problems: A two‐scale approach using coarse‐generalized FEM meshes (2010, background): “In [17, 18, 21, 40 ] we demonstrate that accurate fracture mechanics solutions can be obtained in coarse meshes enriched with the so-called global-local enrichment functions.”
A generalized finite element method with global-local enrichment functions for confined plasticity problems (2012, background): “Further details can be found in many references, for example, [3, 10, 15, 19, 27].”
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “This methodology was successfully applied in conjunction with the GFEM in [14,15, 31 ,32,50,51 ]a s well as the element-free Galerkin method [33].”
Bridging multiple structural scales with a generalized finite element method (2015, methodology): “The GFEM has seen several applications, including transient heat transfer [52] and fracture [53, 54].”
Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method (2012, methodology): “The global–local or sub-modeling procedure in the FEM can address some of these issues but it may also lead to large errors in computed fracture mechanics quantities [30].”