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.

Keywords

Finite element methodStructural engineeringExtended finite element methodRange (aeronautics)MathematicsMaterials scienceEngineeringComposite material

Affiliated Institutions

Related Publications

Publication Info

Year
1999
Type
article
Volume
45
Issue
5
Pages
601-620
Citations
4547
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

4547
OpenAlex

Cite This

Ted Belytschko, T. Howard Black (1999). Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering , 45 (5) , 601-620. https://doi.org/10.1002/(sici)1097-0207(19990620)45:5<601::aid-nme598>3.0.co;2-s

Identifiers

DOI
10.1002/(sici)1097-0207(19990620)45:5<601::aid-nme598>3.0.co;2-s