A direct XFEM formulation for modeling of cohesive crack growth in concrete

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Applying a direct formulation for the enrichment of the displacement field an extended finiteelement (XFEM) scheme for modeling of cohesive crack growth is developed. Only elements cut by thecrack is enriched and the scheme fits within the framework of standard FEM code. The scheme isimplemented for the 3-node constant strain triangle (CST) and the 6-node linear strain triangle (LST).Modeling of standard concrete test cases such as fracture in the notched three point beam bending test(TPBT) and in the four point shear beam test (FPSB) illustrates the performance. The XFEM results showgood agreement with results obtained by applying standard interface elements in FEM and withexperimental results. In conjunction with criteria for crack growth local versus nonlocal computation ofthe crack growth direction is discussed.
Original languageEnglish
JournalComputers and Concrete
Issue number2
Pages (from-to)83-100
Publication statusPublished - 2007


  • cohesive crack growth
  • extended finite elements-XFEM
  • fracture mechanics

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