Fracture with healing: A first step towards a new view of cavitation

@article{Francfort2019FractureWH,
  title={Fracture with healing: A first step towards a new view of cavitation},
  author={Gilles A. Francfort and Alessandro Giacomini and Oscar Lopez-Pamies},
  journal={Analysis \& PDE},
  year={2019}
}
Recent experimental evidence on rubber has revealed that the internal cracks that arise out of the process often referred to as cavitation can actually heal. In this contribution we demonstrate that crack healing can be incorporated into the variational framework for quasi-static brittle fracture evolution that has been developed in the last twenty years. This will be achieved for two-dimensional linearized elasticity in a topological setting, that is when the putative cracks are closed sets… 
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