Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth

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XLME interpolants, a seamless bridge between XFEM and enriched meshless methods (2014, methodology): “There is a growing interest in modeling fracture mechanics with enrichment functions combined with meshless methods [14, 15, 16], isogeometric analysis [17], or strain-smoothed FEM [18, 19].”
Phase-field modeling of fracture in linear thin shells (2014, unknown): “However, despite the advances made in modeling fracture for solid bodies [1, 2, 3, 4, 5], fracture in thin bodies remains a challenge due to the complex interplay between cracks and the shell kinematics and geometry.”
Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, methodology): “Typical discrete approaches exploit remeshing techniques as in [5–8], extended finite element method (XFEM) [9, 10], phantom-node method [11–13], cohesive element method [14, 15] or element-erosion method [16, 17].”
Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods (2015, methodology): “Recently, the strain smoothing method was combined with enrichment methods in [10, 37] to model problems with strong discontinuities and singularities.”