XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi‐materials

By X. Y. Liu, Q. Xiao, B. Karihaloo. 2004

232 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c42b0ff20ee8b87773a1214b6fe71ca045ccd4e4

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In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

The extended/generalized finite element method: An overview of the method and its applications (2010, background): “• Karihaloo, Xiao and co-workers [115, 199, 201] include higher order terms of the asymptotic expansion of the crack tip field as enrichment functions.”
Extended finite element method with global enrichment (2015, methodology): “Some variations of the method have also been proposed which consist in adding higher order terms of the near tip asymptotic fields in order to directly obtain stress intensity factors [39,40,41].”
Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery (2006, methodology): “[10] used seven order Gauss quadrature in an element which includes enriched nodes but is not cut by the crack.”
An extended finite element method with analytical enrichment for cohesive crack modeling (2009, methodology): “In a constrained enrichment scheme, equality constraints are imposed between some i j ’s corresponding to common enrichment functions (refer Equation (2)) [28].”
A simple and efficient XFEM approach for 3-D cracks simulations (2013, background): “Primarily two enrichment functions (Sukumar et al. 2001; Liu et al. 2004) are required to model a crack in XFEM: first one is discontinuous on the crack surface while the second one is asymptotic at the crack front.”
Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods (2008, background): “[33], the second is enriched by the jump function (31) and the third is unenriched.”
Cohesive and non‐cohesive fracture by higher‐order enrichment of XFEM (2012, methodology): “[22] in 2004 where SIFs for both homogeneous materials and bi-materials were obtained directly as some of the enriched degrees of freedom.”