A hybrid finite element-scaled boundary finite element method for crack propagation modelling

ET Ooi, James Yang

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

This study develops a novel hybrid method that combines the finite element method (FEM) and the scaled boundary finite element method (SBFEM) for crack propagation modelling in brittle and quasi-brittle materials. A very simple yet flexible local remeshing procedure, solely based on the FE mesh, is used to accommodate crack propagation. The crack-tip FE mesh is then replaced by a SBFEM rosette. This enables direct extraction of accurate stress intensity factors (SIFs) from the semi-analytical displacement or stress solutions of the SBFEM, which are then used to evaluate the crack propagation criterion. The fracture process zones are modelled using nonlinear cohesive interface elements that are automatically inserted into the FE mesh as the cracks propagate. Both the FEM’s flexibility in remeshing multiple cracks and the SBFEM’s high accuracy in calculating SIFs are exploited. The efficiency of the hybrid method in calculating SIFs is first demonstrated in two problems with stationary cracks. Nonlinear cohesive crack propagation in three notched concrete beams is then modelled. The results compare well with experimental and numerical results available in the literature.
Original languageEnglish
Pages (from-to)1178-1192
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number17-20
Early online date23 Dec 2009
DOIs
Publication statusPublished - 1 Mar 2010
Externally publishedYes

Keywords

  • Scaled boundary finite element method
  • Finite element method
  • Discrete crack model
  • Multiple cohesive crack propagation
  • Remeshing
  • Fracture mechanics

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