Extraction of stress intensity factors from generalized finite element solutions

By J. Pereira, Carlos Armando Duarte. 2005

63 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/153997077e127fd9d7bbac9d4eb564c0a855e97f

How researchers see this paper

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

In Computational Mechanics

1. Carlos Armando Duarte
2. Dae-Jin Kim
3. J. Pereira
4. P. Gupta
5. Xiangmin Jiao
6. Pierre Kerfriden
7. Varun Gupta
8. T. Eason

In Mechanics of Materials

1. Carlos Armando Duarte
2. J. Pereira
3. Dae-Jin Kim
4. Xiangmin Jiao
5. P. Gupta
6. Pierre Kerfriden
7. T. Eason
8. Varun Gupta

Citations in the corpus

• Analysis of three‐dimensional fracture mechanics problems: A two‐scale approach using coarse‐generalized FEM meshes (2010, methodology): “The accuracy of GFEMgl solutions are evaluated in terms of the strain energy norm and stress intensity factor extracted using the Cut-off Function Method (CFM) [ 56 , 69].”
• Analysis of Interacting Cracks Using the Generalized Finite Element Method With Global-Local Enrichment Functions (2008, methodology): “[28] J.”
• Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth (2017, methodology): “The method was extended into many branches based on both FEM and BEM [107–111].”
• Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “K Imax, K II max, K III max .T he SIF can be extracted from the hp-GFEM solution using, e.g., the contour integral method (CIM) or the cut-off function method (CFM) [ 49 ,72,73].”
• hp‐Generalized FEM and crack surface representation for non‐planar 3‐D cracks (2009, methodology): “These are superconvergent extraction techniques based on Betti’s reciprocity law and, as such, deliver convergence rates for SIFs that are as fast as the convergence rate for strain energy [44, 55, 56].”
• Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics (2015, methodology): “A robust approach for the extraction of SIFs is the Cut-off Function Method (CFM) [40, 49, 54–56].”
• Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method (2012, methodology): “The SIFs are extracted using the cut-off function method [42,43,58] and normalized as in [9] using”