X‐FEM in isogeometric analysis for linear fracture mechanics

By E. De Luycker, David J. Benson, Ted Belytschko, Yuri Bazilevs, Ming-Chen Hsu. 2011

294 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2b697d6647e6b6e97a3357eb94343630b8fb6d43

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes (2018, methodology): “Many researchers devote to using various new modeling techniques, such as T-splines [33,34], hierarchical B-Splines [35,36] in the IGA and apply it to the fluid, fluid–solid interaction [37,38], beams and shells [39–42], fracture [43] and many other mechanical analysis fields.”
XLME interpolants, a seamless bridge between XFEM and enriched meshless methods (2014, methodology): “There is a growing interest in modeling fracture mechanics with enrichment functions combined with meshless methods [14, 15, 16], isogeometric analysis [17], or strain-smoothed FEM [18, 19].”
T-spline based XIGA for fracture analysis of orthotropic media (2015, methodology): “The extended isogeometric analysis (XIGA) [42,1] is a newly developed computational approach which uses the superior concepts of the extended finite element method (XFEM) [22,23] within the isogeometric analysis method [43].”
Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth (2017, methodology): “Although the finite element version of IGA was used for fracture analysis [58–61].”
A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields (2014, methodology): “Hence, essential boundary conditions in the RPIM method can be directly applied as in the FEM.”
Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems (2013, background): “[6] presented such a combination for problems in fracture mechanics.”
Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “d Finite Element Method (XFEM) [41], IGA has been applied to fracture using the partition of unity method (PUM) to capture two dimensional strong discontinuities and crack tip singularities eﬃciently [42, 43]. 1.5. Alternatives to IGA Other techniques which integrate CAD and analysis have been demon”