Existence of solutions for the 2d Signorini-Coulomb problem with arbitrarily large friction coefficient

Flaviana Iurlano (CNRS, Paris)

Feb 23. 2023, 15:50 — 16:30

We study the existence of solutions to the static contact problem with Coulomb friction in dimension 2, showing different behaviours in isotropic elasticity and in anisotropic elasticity. Our analysis concludes, in 2d, that started in

[Eck C. and Jarušek J., Existence results for the static contact problem with Coulomb friction. Math. Models Methods Appl. Sci. 8(3), 445--468, 1998],

where a technical assumption on the smallness of the friction coefficient was considered. Our technique relies on the proof of the fact that a suitable operator is Leray-Lions, hence in particular pseudo-monotone à la Brézis, and coercive.

This is a joint work with P. Ballard.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Between Regularity and Defects: Variational and Geometrical Methods in Materials Science (Workshop)
Organizer(s):
Stefano Almi (U Napoli)
Anastasia Molchanova (U of Vienna)