6 papers
A direct method for doubly nonlinear equations via convexification in spaces of measures and duality
Alessandro Pinzi, Filippo Riva, Giuseppe Savaré
Existence of solutions to doubly nonlinear equations in reflexive Banach spaces is established by resorting to a global-in-time variational approach inspired by De Giorgi's princip…
From cohesive to brittle debonding: the quasistatic framework
Filippo Riva
The approximation of brittle laws via steeper and steeper cohesive profiles is validated within the mechanical setting of debonding models, which describe the detachment process of…
The effects of pressure loads in the dimension reduction of elasticity models
Martin KružÃk, Filippo Riva
We study the dimensional reduction from three to two dimensions in hyperelastic materials subject to a live load, modeled as a constant pressure force. Our results demonstrate that…
A free boundary approach to the quasistatic evolution of debonding models
Eleonora Maggiorelli, Filippo Riva, Edoardo Giovanni Tolotti
The mechanical process of progressively debonding an adhesive membrane from a substrate is described as a quasistatic variational evolution of sets and herein investigated. Existen…
Potential-based versus non potential-based cohesive models accounting for loading and unloading with application to sliding elastic laminates
Francesco Freddi, Filippo Riva
A rigorous unified perspective of cohesive zone models is presented, including and comparing potential-based and non potential-based formulations, and encompassing known examples s…
On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
Dario Mazzoleni, Emanuela Radici, Filippo Riva
We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second ord…