The variational formulation of brittle fracture : numerical implementation and extensions

@inproceedings{Bourdin2006TheVF,
  title={The variational formulation of brittle fracture : numerical implementation and extensions},
  author={Blaise Bourdin},
  year={2006}
}
This paper presents the implementation of a variational formulation of brittle fracture mechanics proposed by G.A. Francfort and J.-J. Marigo in 1998. The essence of the model relies on successive global minimizations of an energy with respect to any crack set and any kinematically admissible displacement field. We briefly present the model itself, and its variational approximation in the sense of Gamma–convergence. We propose a globally convergent and monotonically decreasing numerical… CONTINUE READING

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