3 papers
math.AP2025
Transition from Continuous to Jumping Solutions in 2D Quasi-static Elastic Contact Problems with Coulomb Friction: the Mathematics Underlying the Onset of Brake Squeal
Patrick Ballard, Flaviana Iurlano
We formulate the quasi-static elastic contact problem with Coulomb friction in a very general setting, with possible jumps in time for both the load and the solution. Exploiting id…
math.AP2023
Existence Results for the Time-incremental Elastic Contact Problem with Coulomb Friction in 2D
Patrick Ballard, Flaviana Iurlano
In this article, the structure of the incremental quasistatic contact problem with Coulomb friction in linear elasticity (Signorini-Coulomb problem) is unraveled and sharp existenc…
math.AP2021
Homogenization of friction in a 2D linearly elastic contact problem
Patrick Ballard, Flaviana Iurlano
Contact problems with Coulomb friction in linear elasticity are notoriously difficult and their mathematical analysis is still largely incomplete. In this paper, a model problem wi…