A Quasi-Static Model for Craquelure Patterns

  title={A Quasi-Static Model for Craquelure Patterns},
  author={Matteo Negri},
  journal={arXiv: Analysis of PDEs},
  • M. Negri
  • Published 25 October 2019
  • Physics
  • arXiv: Analysis of PDEs
We consider the quasi-static evolution of a brittle layer on a stiff substrate; adhesion between layers is assumed to be elastic. Employing a phase-field approach we obtain the quasi-static evolution as the limit of time-discrete evolutions computed by an alternate minimization scheme. We study the limit evolution, providing a qualitative discussion of its behaviour and a rigorous characterization, in terms of parametrized balanced viscosity evolutions. Further, we study the transition layer of… 
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  • M. Negri
  • Physics
    Advances in Calculus of Variations
  • 2017
Abstract We consider an evolution in phase-field fracture which combines, in a system of PDEs, an irreversible gradient-flow for the phase-field variable with the equilibrium equation for the