### Abstract

A theoretical model of the double cantilever beam tests with bending moments (DCB-UBM) is
presented. The specimen is modelled as the assemblage of two laminated beams connected by a
cohesive interface. It is assumed that the traction-separation laws – i.e. the relationships between the
interfacial stresses and relative displacements – are described by bilinear discontinuous functions. An
analytical solution for pure modes I and II is determined by solving the related differential problem.
Furthermore, analysis based on the path-independent J integral is carried out. Formulas are given to
determine the cohesive law parameters from experiments. Experimental tests have been conducted on
glass fibre reinforced specimens under pure mode I and II loading conditions. The predictions of the
theoretical model turn out to be in very good agreement with the experimental results.

Original language | English |
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Title of host publication | Proceedings of the 20th International Conference on Composite Materials |

Number of pages | 11 |

Publisher | ICCM20 Secretariat |

Publication date | 2015 |

Publication status | Published - 2015 |

Event | 20th International Conference on Composite Materials (ICCM20) - Copenhagen, Denmark Duration: 19 Jul 2015 → 24 Jul 2015 Conference number: 20 |

### Conference

Conference | 20th International Conference on Composite Materials (ICCM20) |
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Number | 20 |

Country | Denmark |

City | Copenhagen |

Period | 19/07/2015 → 24/07/2015 |

### Keywords

- Composite delamination
- Cohesive law
- Double cantilever beam test
- Analytical solution
- Experimental testing

## Cite this

Valvo, P. S., Sørensen, B. F., & Toftegaard, H. L. (2015). Modelling the double cantilever beam test with bending moments by using bilinear discontinuous cohesive laws. In

*Proceedings of the 20th International Conference on Composite Materials*ICCM20 Secretariat.