• DOI:10.1016/j.jde.2020.06.005
Corpus ID: 202558749

Pinning of Interfaces by Localized Dry Friction.

@article{Courte2019PinningOI,
  title={Pinning of Interfaces by Localized Dry Friction.},
  author={Luca Courte and P. Dondl and U. Stefanelli},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}

Luca Courte, P. Dondl, U. Stefanelli

Published 2019

Mathematics, Materials Science

arXiv: Analysis of PDEs

We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a localized dry friction. Our main result establishes the emergence of a rate-independent hysteresis for suitable randomly distributed obstacles, i.e., interfaces are pinned by the obstacles until a certain critical applied driving force is exceeded. The treatment of such a model in the context of pinning and depinning… CONTINUE READING

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