AN EXTENDED FINITE ELEMENT METHOD (X-FEM) FOR TWO- AND THREE-DIMENSIONAL CRACK MODELING

78 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, methodology): “• Nodal enrichment [4,5,16, 17 ,33,35]: the support of each mode is the one of a given nodal shape function i.e.: those elements surrounding a specific node, see Fig. 1b. Most of the formulations of this family, available in the literature, have been developed in the context of the partition of unit”
A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements (2009, methodology): “Belytschko and Black (1999) and Moës et al. (1999; 2000) applied the GFEM to linear elastic fracture mechanics problems, whereas Wells and Sluys (2001a) extended the method to cohesive cracks and Areias and Belytschko (2005) to three-dimensional crack propagation.”
A survey on level set methods for inverse problems and optimal design (2005, background): “[100, 130] for extended finite element methods in different geometric situations.”