# A Quasi-Static Model for Craquelure Patterns

@article{Negri2020AQM, title={A Quasi-Static Model for Craquelure Patterns}, author={Matteo Negri}, journal={arXiv: Analysis of PDEs}, year={2020}, volume={41}, pages={147-164} }

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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