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A partition of unity finite element method for simulating non-linear debonding and matrix failure in thin fibre composites

Authors

  • F. K. F. Radtke,

    1. Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
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  • A. Simone,

    Corresponding author
    1. Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
    • Faculty of Civil Engineering and Geosciences, 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, Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
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Abstract

We present a partition of unity finite element method for simulating non-linear debonding and matrix failure in thin fibre composites. Fibres are superimposed on a background mesh without meshing them. The constitutive behaviour of the matrix material, the fibre material and the fibre–matrix bond can be independently defined. A concise derivation of the discrete governing equations is given for two classes of continuum damage models describing the matrix material. A non-linear bond-slip law including debonding and fibre pull-out behaviour is used. Several examples illustrate the potential of the proposed approach. Copyright © 2010 John Wiley & Sons, Ltd.

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