article Open AccessTop 1% cited
Arbitrary discontinuities in finite elements
International Journal for Numerical Methods in Engineering · 2001 · Vol. 50(4) · pp. 993–1013
Ted Belytschko✉(Northwestern University)Nicolas Mo�s(Northwestern University)Shuji Usui(Northwestern University)Chandu Parimi(Northwestern University)
Abstract
International audience
Numerical methods in engineeringRock Mechanics and ModelingContact Mechanics and Variational InequalitiesClassification of discontinuitiesDisplacement (psychology)MathematicsFunction (biology)Position (finance)Finite element methodGalerkin methodMathematical analysisGeometryStructural engineering
Citations
1,071
FWCI
59.25
field-weighted impact
References
17
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
A method for dynamic crack and shear band propagation with phantom nodes
International Journal for Numerical Methods in Engineering · 2006 · 739 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
Dual‐horizon peridynamics
International Journal for Numerical Methods in Engineering · 2016 · 702 citations
References
Extended finite element method for three-dimensional crack modelling
International Journal for Numerical Methods in Engineering · 2000 · 1,207 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
Element‐free Galerkin methods
International Journal for Numerical Methods in Engineering · 1994 · 5,540 citations
A finite element method for crack growth without remeshing
International Journal for Numerical Methods in Engineering · 1999 · 6,126 citations
Elastic crack growth in finite elements with minimal remeshing
International Journal for Numerical Methods in Engineering · 1999 · 4,654 citations
International Journal for Numerical Methods in Engineering
International Journal for Numerical Methods in Engineering · 2006 · 1,816 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.
