4 papers
Superlinear free-discontinuity models: relaxation and phase-field approximation
Sergio Conti, Matteo Focardi, Flaviana Iurlano
In this paper we develop the Direct Method in the Calculus of Variations for free-discontinuity energies whose bulk and surface densities exhibit superlinear growth, respectively f…
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…
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…
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies
Marco Bonacini, Flaviana Iurlano
Variational models for cohesive fracture are based on the idea that the fracture energy is released gradually as the crack opening grows. Recently, [Conti, Focardi, and Iurlano, An…