Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method

By David L. Chopp, Natarajan Sukumar. 2003

143 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6dcd5ce4e4b447f8fdc545bd77be1b88e643266c

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In Computational Mechanics

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

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].”
Analysis of three‐dimensional fracture mechanics problems: A two‐scale approach using coarse‐generalized FEM meshes (2010, background): “[ 12 , 19, 20, 35, 51, 57, 58, 66, 67] and the references therein, for details on the selection of these functions for the case 3-D linear elastic fracture mechanic s problems like those considered in this paper.”
Stability of incompressible formulations enriched with X-FEM (2008, background): “The resolution of compressible fracture mechanics problems has been extensively studied in the context of the X-FEM for both 2D [39,18,40,32,24] and 3D fracture mechanics [21,22].”
Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method (2008, methodology): “In the X-FEM, domain integrals have been adopted for SIF computations in three dimensions for planar mode I cracks [3, 5, 9] as well as for non-planar cracks [7].”
On three-dimensional modelling of crack growth using partition of unity methods (2010, background): “Chopp and Sukumar [31] and Lo et al.”
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].”
Brittle fracture in polycrystalline microstructures with the extended finite element method (2003, background): “In addition, recent studies have explored the use of fast marching and level sets for evolving crack discontinuities in three-dimensions within the X-FEM framework: growth of multiple planar cracks are handled using the fast marching method [44, 45 ], whereas non-planar crack growth is carried out ”
The numerical simulation of fatigue crack growth using extended finite element method (2012, methodology): “Till date, XFEMhas extensively used to solve the problems of fracture mechanics including crack growth with frictional contact [17], cohesive crack propagation [18–21], quasi-static crack growth [22], arbitrary branched and intersecting cracks [23], and cracks in shells [24], fatigue crack propagati”
Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery (2006, background): “Chopp and Sukumar [18] studied propagation of multiple coplanar cracks.”
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “Sukumar et al. [ 9 ,70] have also introduced fast marching techniques to track the evolution of three-dimensional crack surfaces in XFEM simulations.”
Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation (2003, methodology): “The growth of multiple coplanar cracks in 3-d is handled using the fast marching method (Sukumar et al., 2003a; Chopp and Sukumar, 2003), whereas non-planar crack growth is carried out using level sets (Mo€ e es et al., 2002; Gravouil et al., 2002).”