articleTop 1% cited
Elastic crack growth in finite elements with minimal remeshing
International Journal for Numerical Methods in Engineering · 1999 · Vol. 45(5) · pp. 601–620
Ted Belytschko✉(Murphy Oil Corporation (United States))T. Howard Black
Abstract
A minimal remeshing finite element method for crack growth is presented. Discontinuous enrichment functions are added to the finite element approximation to account for the presence of the crack. This method allows the crack to be arbitrarily aligned within the mesh. For severely curved cracks, remeshing may be needed but only away from the crack tip where remeshing is much easier. Results are presented for a wide range of two-dimensional crack problems showing excellent accuracy. Copyright © 1999 John Wiley & Sons, Ltd.
Numerical methods in engineeringFatigue and fracture mechanicsContact Mechanics and Variational InequalitiesFinite element methodStructural engineeringExtended finite element methodRange (aeronautics)MathematicsMaterials scienceEngineeringComposite material
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References
The partition of unity finite element method: Basic theory and applications
Computer Methods in Applied Mechanics and Engineering · 1996 · 3,361 citations
Meshless methods: An overview and recent developments
Computer Methods in Applied Mechanics and Engineering · 1996 · 3,094 citations
ENRICHED ELEMENT-FREE GALERKIN METHODS FOR CRACK TIP FIELDS
International Journal for Numerical Methods in Engineering · 1997 · 612 citations
Element‐free Galerkin methods
International Journal for Numerical Methods in Engineering · 1994 · 5,540 citations
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