Elastic crack growth in finite elements with minimal remeshing

1999/06/20 by T. Belytschko, Ted Belytschko, T. Black +1 · 4,760 citations
Computer Science · Engineering · Mathematics · #Composite material #Contact Mechanics and Variational Inequalities #Engineering #Extended finite element method #Fatigue and fracture mechanics #Finite element method #Materials science #Mathematics #Numerical methods in engineering #Range (aeronautics) #Structural engineering

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

published in International Journal for Numerical Methods in Engineering 45(5), 601-620 (Wiley)

openalex publication_date 1999/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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.

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