Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

By Natarajan Sukumar, David L. Chopp, Eric Béchet, Nicolas Moës. 2008

136 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/46a0c318b64ed1eedc6349a740b09231df6b697c

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “A crack growth simulation using the XFEM coupled with fast marching method was presented by Sukumar et al. in [ 69 ].”
Extended finite element method in computational fracture mechanics: a retrospective examination (2015, unknown): “…three dimensions, the domain form of the J -integral is used (Sukumar et al. 2000), whereas for nonplanar cracks in three dimensions, the interaction integral method of Gosz and Moran (2002) is used to extract the SIFs in extended ﬁnite element computations (Moës et al. 2002; Sukumar et al. 2008).”
Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth (2017, methodology): “Chopp and Sukumar [91] proposed the fast marching method to update the crack front, thus facilitating the process of updating the crack surface [29].”
The extended/generalized finite element method: An overview of the method and its applications (2010, unknown): “It has been observed that using the same nodes for the approximation of (5) as for the underlying physical problem sometimes provides insufficient resolution for accurate updates of the level set function [177].”
A two-scale approach for the analysis of propagating three-dimensional fractures (2012, methodology): “Representative methods for three-dimensional crack growth simulations include the standard finite element method (FEM) with remeshing [60], the boundary element method (BEM) [36] [11], and the extended [38] [25] [57] [1] [8] [58] or generalized FEM [18] [48].”
Fracture modeling using meshless methods and level sets in 3D: Framework and modeling (2012, methodology): “Fracture modeling using numerical methods is well-developed following major advances in the past decade or two such as the extended finite element method (XFEM) and meshless methods [1–11].”
A review of extended/generalized finite element methods for material modeling (2009, background): “projection in three-dimensional fracture simulations [97] and in applications of evolving biofilm interfaces [38].”