Enhanced blending elements for XFEM applied to linear elastic fracture mechanics

By J. E. Tarancón, A. Vercher, Eugenio Giner, F. Fuenmayor. 2009

105 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/33e8e830101967706fe4b5719435654be4b5d2d2

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks (2015, result): “similarly to that in the standard XFEM involved with blending elements [8, 14, 65], was numerically confirmed by Gupta et al.”
Accurate recovery-based upper error bounds for the extended finite element framework (2010, methodology): “Thanks to all these developments and to the latter contributions in this field (see for example [4–11]) the XFEM is now considered to be a robust and highly accurate tool to analyze Linear Elastic Fracture Mechanics (LEFM) problems.”
The extended/generalized finite element method: An overview of the method and its applications (2010, background): “In the study of higher order elements in [108], blending elements are avoided by coupling fully enriched and standard elements point-wise, while in [185], hierarchical shape functions are used in the blending elements.”
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics (2013, background): “This leads to elements in a finite element mesh that are only partially enriched – the so-called blending elements [12, 13, 20, 22, 24, 34, 40, 41].”
Extended finite element method with global enrichment (2015, methodology): “Subsequently, displacements are matched by imposing the condition 1 : 1 Note that this procedure also removes completely blending errors [27,28,29,30,31,32].”
Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics (2015, background): “This leads to finite elements which are only partially enriched – the so-called blending elements [12, 13, 19, 22, 27, 46, 50, 52].”
XFEM fracture analysis of orthotropic functionally graded materials (2013, methodology): “Further details of these functions and triangular elements can be found in [58,59].”