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A new method for modelling cohesive cracks using finite elements

Authors

  • G. N. Wells,

    Corresponding author
    1. Faculty of Aerospace Engineering, Koiter Institute Delft/Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
    • Faculty of Aerospace Engineering, Koiter Institute Delft/Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
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  • L. J. Sluys

    1. Faculty of Civil Engineering and Geosciences, Koiter Institute Delft/Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
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Abstract

A model which allows the introduction of displacements jumps to conventional finite elements is developed. The path of the discontinuity is completely independent of the mesh structure. Unlike so-called ‘embedded discontinuity’ models, which are based on incompatible strain modes, there is no restriction on the type of underlying solid finite element that can be used and displacement jumps are continuous across element boundaries. Using finite element shape functions as partitions of unity, the displacement jump across a crack is represented by extra degrees of freedom at existing nodes. To model fracture in quasi-brittle heterogeneous materials, a cohesive crack model is used. Numerical simulations illustrate the ability of the method to objectively simulate fracture with unstructured meshes. Copyright © 2001 John Wiley & Sons, Ltd.

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