International Journal of Fracture

, Volume 148, Issue 3, pp 205–219 | Cite as

Numerical simulations of void linkage in model materials using a nonlocal ductile damage approximation

  • Arnaud WeckEmail author
  • Javier Segurado
  • Javier LLorca
  • David Wilkinson
  • Helmut Böhm
Original Paper


Experiments on the growth and linkage of 10 μm diameter holes laser drilled in high precision patterns into Al-plates were modelled with finite elements. The simulations used geometries identical to those of the experiments and incorporated ductile damage by element removal under the control of a ductile damage indicator based on the micromechanical studies of Rice and Tracey. A regularization of the problem was achieved through an integral-type nonlocal model based on the smoothing of the rate of a damage indicator D over a characteristic length L. The simulation does not predict the experimentally observed damage acceleration either in the case where no damage is included or when only a local damage model is used. However, the full three-dimensional simulations based on the nonlocal damage methodology do predict both the failure path and the failure strain at void linkage for almost all configurations studied. For the cases considered the critical parameter controlling the local deformations at void linkage was found to be the ratio between hole diameter and hole spacing.


Linkage Coalescence Ductile fracture Nonlocal damage models Finite element Laser drilled model material 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • Arnaud Weck
    • 1
    Email author
  • Javier Segurado
    • 2
    • 3
  • Javier LLorca
    • 2
    • 3
  • David Wilkinson
    • 1
  • Helmut Böhm
    • 4
  1. 1.Department of Materials Science and EngineeringMcMaster UniversityHamiltonCanada
  2. 2.Departamento de Ciencia de MaterialesUniversidad Politécnica de MadridMadridSpain
  3. 3.Instituto Madrileño de Estudios Avanzados en Materiales (IMDEA-Materiales)MadridSpain
  4. 4.Institute of Light Weight Design and Structural BiomechanicsVienna University of TechnologyViennaAustria

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