Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the art review

By B. Karihaloo, Q. Xiao. 2003

213 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e7af84c9e6455f9c2ca6733bfda9a6fd49155e83

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Citations in the corpus

Analysis of three‐dimensional crack initiation and propagation using the extended finite element method (2005, methodology): “More recently, the extended finite element method was developed (in 2D [16, 17] and 3D [18–20]) which includes discontinuous terms in the displacement basis (a review was recently published [21]).”
Enhanced blending elements for XFEM applied to linear elastic fracture mechanics (2009, background): “Xiao and Karihaloo [32] use a similar technique to evaluate the asymptotic field displacement coefficients directly and with great precision; they also recommend retaining a large number of asymptotic field terms.”
A review of extended/generalized finite element methods for material modeling (2009, methodology): “[16] T. Belytschko and SP Xiao.”
Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery (2006, unknown): “Xiao and Karihaloo [27, 28] have shown that when used with traditional FEM, SAR recovers highly accurate stresses adjacent to holes and close to a crack tip.”
Finite strain fracture of 2D problems with injected anisotropic softening elements (2014, background): “Total and partial remeshing approaches [25,32,10,18], versions of local displacement [47,46,41,57,44] (and strain [50,2,58]) enrichments, clique overlaps [38], edges repositioning or edge-based fracture with R-adaptivity [45]; Element erosion [63], smeared procedures [49], viscousregularized techniq”
Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions (2010, methodology): “Reviews on X-FEM are available in the literature (Karihaloo and Xiao, 2003; Abdelaziz, 2008; Belytschko et al., 2009).”
Accurate recovery-based upper error bounds for the extended finite element framework (2010, methodology): “The first developments in this method [1,39] were soon followed by a considerable amount of publications as described in [3].”