A high-order generalized FEM for through-the-thickness branched cracks

C. A. Duarte, L. G. Reno, A. Simone

Research output: Contribution to journalArticlepeer-review


This paper presents high-order implementations of a generalized finite element method for through-the-thickness three-dimensional branched cracks. This approach can accurately represent discontinuities such as triple joints in polycrystalline materials and branched cracks, independently of the background finite element mesh. Representative problems are investigated to illustrate the accuracy of the method in combination with various discretizations and refinement strategies. The combination of local refinement at crack fronts and high-order continuous and discontinuous enrichments proves to be an excellent combination which can deliver convergence rates close to that of problems with smooth solutions.

Original languageEnglish (US)
Pages (from-to)325-351
Number of pages27
JournalInternational Journal for Numerical Methods in Engineering
Issue number3
StatePublished - Oct 15 2007


  • Branched crack
  • Generalized element method
  • High-order finite elements
  • Hp-method
  • Partition of unity
  • X-FEM

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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