article Open AccessTop 1% cited
Modeling holes and inclusions by level sets in the extended finite-element method
Computer Methods in Applied Mechanics and Engineering · 2001 · Vol. 190(46-47) · pp. 6183–6200
N. Sukumar✉(Northwestern University)David L. Chopp(Northwestern University)Nicolas Moës(Northwestern University)Ted Belytschko(Northwestern University)
Numerical methods in engineeringAdvanced Numerical Methods in Computational MathematicsComposite Material MechanicsFinite element methodPartition of unityMathematicsExtended finite element methodSet (abstract data type)Partition (number theory)Function (biology)Mixed finite element methodLevel set (data structures)Level set method
Funding
- National Science Foundation
- Office of Naval Research
Citations
1,101
FWCI
31.69
field-weighted impact
References
18
Percentile
100%
vs. same field & year
Citations per year
Cited by
A finite element method for the simulation of strong and weak discontinuities in solid mechanics
Computer Methods in Applied Mechanics and Engineering · 2004 · 794 citations
Modelling crack growth by level sets in the extended finite element method
International Journal for Numerical Methods in Engineering · 2001 · 775 citations
Non‐planar 3D crack growth by the extended finite element and level sets—Part II: Level set update
International Journal for Numerical Methods in Engineering · 2002 · 535 citations
Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation
International Journal of Solids and Structures · 2003 · 421 citations
Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model
International Journal for Numerical Methods in Engineering · 2002 · 644 citations
The extended/generalized finite element method: An overview of the method and its applications
International Journal for Numerical Methods in Engineering · 2010 · 1,392 citations
New crack‐tip elements for XFEM and applications to cohesive cracks
International Journal for Numerical Methods in Engineering · 2003 · 551 citations
References
Extended finite element method for three-dimensional crack modelling
International Journal for Numerical Methods in Engineering · 2000 · 1,207 citations
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics · 1988 · 13,778 citations
The design and analysis of the Generalized Finite Element Method
Computer Methods in Applied Mechanics and Engineering · 2000 · 929 citations
The partition of unity finite element method: Basic theory and applications
Computer Methods in Applied Mechanics and Engineering · 1996 · 3,361 citations
Arbitrary branched and intersecting cracks with the extended finite element method
International Journal for Numerical Methods in Engineering · 2000 · 965 citations
A finite element method for crack growth without remeshing
International Journal for Numerical Methods in Engineering · 1999 · 6,126 citations
Related articles
Distance Regularized Level Set Evolution and Its Application to Image Segmentation
IEEE Transactions on Image Processing · 2010 · 2,095 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.