### Abstract

Applying the principles of the eXtended Finite ElementMethod a partly cracked cohesive element
is developed. The element is based on a double enrichment of the standard displacement field, which allows
the element to model equal stresses at the both sides of the crack in the crack-tip element. The formulation
is implemented for the 3 node Constant Strain Triangle (CST). A general stress calculation in the cracked
elements is presented, the principle is based on an area weighing of the stresses in the cracked elements, which
gives a continuous transition from the uncracked respectively the fully cracked element. The performance of
the developed element is tested in a Three Point Bending Test, where the partly cracked element gives a good
over all structural response. Furthermore the partly cracked element gives results without the often seen zigzag
behaviour on the load-deflection curve.

Original language | English |
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Title of host publication | New Trends in Fracture Mechanics of Concrete |

Volume | 1 |

Publication date | 2007 |

Pages | 139-146 |

Publication status | Published - 2007 |

Event | 6th International Conference on Fracture Mechanics of Concrete and Concrete Structures - Catania, Italy Duration: 17 Jun 2007 → 22 Jun 2007 Conference number: 6 |

### Conference

Conference | 6th International Conference on Fracture Mechanics of Concrete and Concrete Structures |
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Number | 6 |

Country | Italy |

City | Catania |

Period | 17/06/2007 → 22/06/2007 |

## Cite this

Mougaard, J. F., Poulsen, P. N., & Nielsen, L. O. (2007). An Enhanced Cohesive Crack Element for XFEM using a Double Enriched Displacement Field. In

*New Trends in Fracture Mechanics of Concrete*(Vol. 1, pp. 139-146)