## Abstract

Recent efforts in the finite element modelling of delamination have concentrated on the development of cohesive interface elements. These are characterised by a bilinear constitutive law, where there is an initial high positive stiffness until a threshold stress level is reached, followed by a negative tangent stiffness representing softening (or damage evolution). Complete decohesion occurs when the amount of work done per unit area of crack surface is equal to a critical strain energy release rate. It is difficult to achieve a stable, oscillation-free solution beyond the onset of damage, using standard implicit quasi-static methods, unless a very refined mesh is used. In the present paper, a new solution strategy is proposed based on a pseudo-transient formulation and demonstrated through the modelling of a double cantilever beam undergoing Mode I delamination. A detailed analysis into the sensitivity of the user-defined parameters is also presented. Comparisons with other published solutions using a quasi-static formulation show that the pseudo-transient formulation gives improved accuracy and oscillation-free results with coarser meshes

Original language | English |
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Pages (from-to) | 698-708 |

Number of pages | 11 |

Journal | Finite Elements in Analysis and Design |

Volume | 42 |

Issue number | 8-9 |

Early online date | 10 Jan 2006 |

DOIs | |

Publication status | Published - May 2006 |

## ASJC Scopus subject areas

- Computer Science Applications
- Computational Mechanics